diff --git "a/trees/auto_problem_096_tree.json" "b/trees/auto_problem_096_tree.json" new file mode 100644--- /dev/null +++ "b/trees/auto_problem_096_tree.json" @@ -0,0 +1,113778 @@ +{ + "problem_id": "auto_problem_096", + "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 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: 283.28 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": 3479, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 238.75 kg\n Factor of Safety: 0.05\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": 238.74893747790705, + "fos_buckling": 0.049060668696589635, + "fos_yielding": 0.6481227274824259, + "deflection": 0.018348479796855947, + "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: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n\nPerformance:\n Mass: 244.85 kg\n Factor of Safety: 0.93\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.85450255037148, + "fos_buckling": 0.9262937240651712, + "fos_yielding": 1.8495222588625737, + "deflection": 0.0048952791511904506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002611)" + }, + "parent_node_id": "node_0", + "improvement_over_parent": null + }, + "node_2": { + "node_id": "node_2", + "content": "MODIFICATION: Increase 14 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0041)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n\nPerformance:\n Mass: 247.87 kg\n Factor of Safety: 0.93\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.86886797581968, + "fos_buckling": 0.9260557458695714, + "fos_yielding": 1.8609745767187749, + "deflection": 0.004915503177003115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.534)" + }, + "parent_node_id": "node_1", + "improvement_over_parent": null + }, + "node_3": { + "node_id": "node_3", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0041)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 252.59 kg\n Factor of Safety: 1.07\n Max Deflection: 4.29e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.58568722518126, + "fos_buckling": 1.0741841117624076, + "fos_yielding": 1.8439891866927667, + "deflection": 0.004289824274947139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_2", + "improvement_over_parent": null + }, + "node_4": { + "node_id": "node_4", + "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0065)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0041)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.16 kg\n Factor of Safety: 1.06\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.15876815686937, + "fos_buckling": 1.0561901318343672, + "fos_yielding": 1.8478330859920233, + "deflection": 0.00416040062088382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.621)" + }, + "parent_node_id": "node_3", + "improvement_over_parent": null + }, + "node_5": { + "node_id": "node_5", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_4", + "improvement_over_parent": null + }, + "node_6": { + "node_id": "node_6", + "content": "INITIAL DESIGN (Trace 1)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 134.94 kg\n Factor of Safety: 0.05\n Max Deflection: 1.17e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.937724166071, + "fos_buckling": 0.052878175203589055, + "fos_yielding": 0.6520116957620424, + "deflection": 11717429515792.205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_7": { + "node_id": "node_7", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n\nPerformance:\n Mass: 147.60 kg\n Factor of Safety: 0.29\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": 147.59648268195855, + "fos_buckling": 0.2948384279886458, + "fos_yielding": 0.6860527780494335, + "deflection": 0.019885583243296055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002784)" + }, + "parent_node_id": "node_6", + "improvement_over_parent": null + }, + "node_8": { + "node_id": "node_8", + "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n\nPerformance:\n Mass: 149.18 kg\n Factor of Safety: 0.29\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": 149.183991791574, + "fos_buckling": 0.2947980560331011, + "fos_yielding": 0.8969694569483172, + "deflection": 0.018771859007469166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.429)" + }, + "parent_node_id": "node_7", + "improvement_over_parent": null + }, + "node_9": { + "node_id": "node_9", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n\nPerformance:\n Mass: 183.29 kg\n Factor of Safety: 0.35\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": 183.2925401507298, + "fos_buckling": 0.353135435249424, + "fos_yielding": 1.0995297285613341, + "deflection": 0.01530861464930926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_8", + "improvement_over_parent": null + }, + "node_10": { + "node_id": "node_10", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 221.98 kg\n Factor of Safety: 0.42\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": 221.97727323629567, + "fos_buckling": 0.4152655215081, + "fos_yielding": 1.3281406554635642, + "deflection": 0.012668591313876904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_9", + "improvement_over_parent": null + }, + "node_11": { + "node_id": "node_11", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 223.70 kg\n Factor of Safety: 0.42\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": 223.69788927338791, + "fos_buckling": 0.415183670211511, + "fos_yielding": 1.3278796486075324, + "deflection": 0.012348369159178797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.258)" + }, + "parent_node_id": "node_10", + "improvement_over_parent": null + }, + "node_12": { + "node_id": "node_12", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 249.34 kg\n Factor of Safety: 0.45\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": 249.34184540828844, + "fos_buckling": 0.4537367856398871, + "fos_yielding": 1.477654321941847, + "deflection": 0.011096732277967016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_11", + "improvement_over_parent": null + }, + "node_13": { + "node_id": "node_13", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.98 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.978708935942, + "fos_buckling": 1.543062312550584, + "fos_yielding": 2.6540912602609943, + "deflection": 0.0039533225600590655, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_12", + "improvement_over_parent": null + }, + "node_14": { + "node_id": "node_14", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_13", + "improvement_over_parent": null + }, + "node_15": { + "node_id": "node_15", + "content": "INITIAL DESIGN (Trace 2)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 210.32 kg\n Factor of Safety: 0.68\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.31528104741406, + "fos_buckling": 0.6772085488512305, + "fos_yielding": 2.3922252747375983, + "deflection": 0.006077626625059721, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_16": { + "node_id": "node_16", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 224.06 kg\n Factor of Safety: 0.68\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.06474951360147, + "fos_buckling": 0.6764125362554733, + "fos_yielding": 2.3893989193907874, + "deflection": 0.005735060545849564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_15", + "improvement_over_parent": null + }, + "node_17": { + "node_id": "node_17", + "content": "MODIFICATION: Increase 17 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n\nPerformance:\n Mass: 226.97 kg\n Factor of Safety: 0.68\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.96881496480628, + "fos_buckling": 0.6762446474111978, + "fos_yielding": 2.3888028106625825, + "deflection": 0.005723406525943862, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.238)" + }, + "parent_node_id": "node_16", + "improvement_over_parent": null + }, + "node_18": { + "node_id": "node_18", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 230.99 kg\n Factor of Safety: 0.68\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.9949701900152, + "fos_buckling": 0.6761670893256861, + "fos_yielding": 2.3885274322378782, + "deflection": 0.0052443173831599535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002417)" + }, + "parent_node_id": "node_17", + "improvement_over_parent": null + }, + "node_19": { + "node_id": "node_19", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 245.02 kg\n Factor of Safety: 1.28\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.01951056523032, + "fos_buckling": 1.2757017752802353, + "fos_yielding": 2.631786444047487, + "deflection": 0.0040983980932188975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003377)" + }, + "parent_node_id": "node_18", + "improvement_over_parent": null + }, + "node_20": { + "node_id": "node_20", + "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0054)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 247.28 kg\n Factor of Safety: 1.27\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.27899242837864, + "fos_buckling": 1.27198914972097, + "fos_yielding": 2.6477596284158897, + "deflection": 0.00402526515049825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.267)" + }, + "parent_node_id": "node_19", + "improvement_over_parent": null + }, + "node_21": { + "node_id": "node_21", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0054)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 253.92 kg\n Factor of Safety: 1.42\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.92159265719798, + "fos_buckling": 1.4207268686949204, + "fos_yielding": 2.662419322174704, + "deflection": 0.003944733196790381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_20", + "improvement_over_parent": null + }, + "node_22": { + "node_id": "node_22", + "content": "MODIFICATION: Increase 17 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0054)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 258.36 kg\n Factor of Safety: 1.42\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.36034229501007, + "fos_buckling": 1.419069882157442, + "fos_yielding": 2.6488854275822953, + "deflection": 0.003914638257530218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.314)" + }, + "parent_node_id": "node_21", + "improvement_over_parent": null + }, + "node_23": { + "node_id": "node_23", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_22", + "improvement_over_parent": null + }, + "node_24": { + "node_id": "node_24", + "content": "INITIAL DESIGN (Trace 3)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 140.42 kg\n Factor of Safety: 0.37\n Max Deflection: 9.14e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.41837766941572, + "fos_buckling": 0.36611381494895184, + "fos_yielding": 1.5704328408557433, + "deflection": 0.009144656319081249, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_25": { + "node_id": "node_25", + "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 143.79 kg\n Factor of Safety: 0.37\n Max Deflection: 8.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.7935979801547, + "fos_buckling": 0.3660961928566899, + "fos_yielding": 1.5703572514863102, + "deflection": 0.008930832449310967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.192)" + }, + "parent_node_id": "node_24", + "improvement_over_parent": null + }, + "node_26": { + "node_id": "node_26", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 158.25 kg\n Factor of Safety: 0.70\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.2500587614473, + "fos_buckling": 0.7029985026149632, + "fos_yielding": 1.6810238361630543, + "deflection": 0.006696037528252778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003204)" + }, + "parent_node_id": "node_25", + "improvement_over_parent": null + }, + "node_27": { + "node_id": "node_27", + "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 159.93 kg\n Factor of Safety: 0.84\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.93418294796456, + "fos_buckling": 0.8445930601546138, + "fos_yielding": 1.680844342885331, + "deflection": 0.006586123263736601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.344)" + }, + "parent_node_id": "node_26", + "improvement_over_parent": null + }, + "node_28": { + "node_id": "node_28", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n\nPerformance:\n Mass: 164.52 kg\n Factor of Safety: 0.85\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.51831941718092, + "fos_buckling": 0.8505470091942923, + "fos_yielding": 1.6806001167509783, + "deflection": 0.006464038298261392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002002)" + }, + "parent_node_id": "node_27", + "improvement_over_parent": null + }, + "node_29": { + "node_id": "node_29", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n Mass: 177.69 kg\n Factor of Safety: 1.13\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.6872390689846, + "fos_buckling": 1.126316575399439, + "fos_yielding": 1.8345999527898518, + "deflection": 0.0057129333098001065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003058)" + }, + "parent_node_id": "node_28", + "improvement_over_parent": null + }, + "node_30": { + "node_id": "node_30", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n\nPerformance:\n Mass: 208.42 kg\n Factor of Safety: 1.29\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.41966031010764, + "fos_buckling": 1.2925901219171883, + "fos_yielding": 2.148885792698452, + "deflection": 0.004879192019170934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_29", + "improvement_over_parent": null + }, + "node_31": { + "node_id": "node_31", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.40 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.39598899658523, + "fos_buckling": 1.5403603179867367, + "fos_yielding": 2.647922777138253, + "deflection": 0.003961968371436955, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_30", + "improvement_over_parent": null + }, + "node_32": { + "node_id": "node_32", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_31", + "improvement_over_parent": null + }, + "node_33": { + "node_id": "node_33", + "content": "INITIAL DESIGN (Trace 4)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 159.61 kg\n Factor of Safety: 0.92\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.61434157271833, + "fos_buckling": 0.918316991213873, + "fos_yielding": 1.673203746477835, + "deflection": 0.006345485159822414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_34": { + "node_id": "node_34", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 197.63 kg\n Factor of Safety: 1.12\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.62757601406412, + "fos_buckling": 1.1154297063118466, + "fos_yielding": 2.0677699979579267, + "deflection": 0.005135903080908591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_33", + "improvement_over_parent": null + }, + "node_35": { + "node_id": "node_35", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 253.34 kg\n Factor of Safety: 1.39\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.34270509378098, + "fos_buckling": 1.3891338533623785, + "fos_yielding": 2.643332425347217, + "deflection": 0.004018953816460303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_34", + "improvement_over_parent": null + }, + "node_36": { + "node_id": "node_36", + "content": "MODIFICATION: Increase 18 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.34 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.3402977322365, + "fos_buckling": 1.5398799041705988, + "fos_yielding": 2.6473869013904547, + "deflection": 0.003962795934533185, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.259)" + }, + "parent_node_id": "node_35", + "improvement_over_parent": null + }, + "node_37": { + "node_id": "node_37", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_36", + "improvement_over_parent": null + }, + "node_38": { + "node_id": "node_38", + "content": "INITIAL DESIGN (Trace 5)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 201.78 kg\n Factor of Safety: 1.26\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.77989504551059, + "fos_buckling": 1.2584359119669037, + "fos_yielding": 2.125732254424025, + "deflection": 0.004987631338770382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_39": { + "node_id": "node_39", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 251.86 kg\n Factor of Safety: 1.52\n Max Deflection: 4.01e-03 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 251.86293849422546, + "fos_buckling": 1.5167314346940268, + "fos_yielding": 2.6463391301251398, + "deflection": 0.0040078638917095235, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_38", + "improvement_over_parent": null + }, + "node_40": { + "node_id": "node_40", + "content": "MODIFICATION: Increase 11 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 253.99 kg\n Factor of Safety: 1.52\n Max Deflection: 3.99e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.98978173936504, + "fos_buckling": 1.524091450035704, + "fos_yielding": 2.648804271890605, + "deflection": 0.003993062529476619, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.517)" + }, + "parent_node_id": "node_39", + "improvement_over_parent": null + }, + "node_41": { + "node_id": "node_41", + "content": "MODIFICATION: Increase 19 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.55 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.55071284491834, + "fos_buckling": 1.5409804795363988, + "fos_yielding": 2.649680593254716, + "deflection": 0.003959493508094056, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.271)" + }, + "parent_node_id": "node_40", + "improvement_over_parent": null + }, + "node_42": { + "node_id": "node_42", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_41", + "improvement_over_parent": null + }, + "node_43": { + "node_id": "node_43", + "content": "INITIAL DESIGN (Trace 6)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 187.54 kg\n Factor of Safety: 1.19\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.54498487621046, + "fos_buckling": 1.1851531205248043, + "fos_yielding": 1.9533035202114197, + "deflection": 0.005371463876707203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_44": { + "node_id": "node_44", + "content": "MODIFICATION: Increase 16 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 188.66 kg\n Factor of Safety: 1.19\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.66198760835212, + "fos_buckling": 1.1864955973371076, + "fos_yielding": 1.9470025993283147, + "deflection": 0.005383950828659619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.323)" + }, + "parent_node_id": "node_43", + "improvement_over_parent": null + }, + "node_45": { + "node_id": "node_45", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 228.16 kg\n Factor of Safety: 1.39\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.16376935154003, + "fos_buckling": 1.3948414937264662, + "fos_yielding": 2.3504145131515486, + "deflection": 0.004461996817444897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_44", + "improvement_over_parent": null + }, + "node_46": { + "node_id": "node_46", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.24 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.23871420520953, + "fos_buckling": 1.5394173511095446, + "fos_yielding": 2.6464134601584317, + "deflection": 0.003964306101354753, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_45", + "improvement_over_parent": null + }, + "node_47": { + "node_id": "node_47", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_46", + "improvement_over_parent": null + }, + "node_48": { + "node_id": "node_48", + "content": "INITIAL DESIGN (Trace 7)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 241.41 kg\n Factor of Safety: 0.45\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": 241.414874307176, + "fos_buckling": 0.4532491031845868, + "fos_yielding": 1.4755708444433209, + "deflection": 0.011607449451735795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_49": { + "node_id": "node_49", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 246.42 kg\n Factor of Safety: 0.45\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": 246.41810091584233, + "fos_buckling": 0.45318422900502264, + "fos_yielding": 1.475360340833487, + "deflection": 0.01121831488166237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_48", + "improvement_over_parent": null + }, + "node_50": { + "node_id": "node_50", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 255.05 kg\n Factor of Safety: 1.49\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.0549644434959, + "fos_buckling": 1.4932624330530186, + "fos_yielding": 2.6644856834918222, + "deflection": 0.003943721177407134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_49", + "improvement_over_parent": null + }, + "node_51": { + "node_id": "node_51", + "content": "MODIFICATION: Increase 16 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0080)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 266.86 kg\n Factor of Safety: 1.54\n Max Deflection: 3.85e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 266.8638861585356, + "fos_buckling": 1.535689888837952, + "fos_yielding": 2.6688051032277573, + "deflection": 0.0038493508383473877, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.664)" + }, + "parent_node_id": "node_50", + "improvement_over_parent": null + }, + "node_52": { + "node_id": "node_52", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_51", + "improvement_over_parent": null + }, + "node_53": { + "node_id": "node_53", + "content": "INITIAL DESIGN (Trace 8)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 198.25 kg\n Factor of Safety: 0.09\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": 198.25093157548358, + "fos_buckling": 0.09001391408815275, + "fos_yielding": 1.1891412216775947, + "deflection": 0.01261102291063372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_54": { + "node_id": "node_54", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n Mass: 206.53 kg\n Factor of Safety: 0.54\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.5255865486882, + "fos_buckling": 0.5388773653618566, + "fos_yielding": 1.5549422584308403, + "deflection": 0.006343333968396571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002988)" + }, + "parent_node_id": "node_53", + "improvement_over_parent": null + }, + "node_55": { + "node_id": "node_55", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n Mass: 207.85 kg\n Factor of Safety: 0.54\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.85372830143305, + "fos_buckling": 0.5388972468645751, + "fos_yielding": 1.5548769176765016, + "deflection": 0.006343757178966482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.225)" + }, + "parent_node_id": "node_54", + "improvement_over_parent": null + }, + "node_56": { + "node_id": "node_56", + "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n Mass: 209.39 kg\n Factor of Safety: 0.54\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.38682400704826, + "fos_buckling": 0.5446514355389365, + "fos_yielding": 1.554650688407075, + "deflection": 0.00630589256831955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.267)" + }, + "parent_node_id": "node_55", + "improvement_over_parent": null + }, + "node_57": { + "node_id": "node_57", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 230.34 kg\n Factor of Safety: 0.93\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.34300801386388, + "fos_buckling": 0.9262158490465033, + "fos_yielding": 1.553106263176158, + "deflection": 0.005319855338651224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_56", + "improvement_over_parent": null + }, + "node_58": { + "node_id": "node_58", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 249.43 kg\n Factor of Safety: 0.93\n Max Deflection: 4.67e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.43275178867134, + "fos_buckling": 0.9257137109590272, + "fos_yielding": 2.143654823258851, + "deflection": 0.004667916382459784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_57", + "improvement_over_parent": null + }, + "node_59": { + "node_id": "node_59", + "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 252.45 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.44503081515307, + "fos_buckling": 0.9256345254706259, + "fos_yielding": 2.6219459687126423, + "deflection": 0.004579550375544045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.618)" + }, + "parent_node_id": "node_58", + "improvement_over_parent": null + }, + "node_60": { + "node_id": "node_60", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.16 kg\n Factor of Safety: 1.47\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.1618500645146, + "fos_buckling": 1.4710670799309942, + "fos_yielding": 2.641156025812783, + "deflection": 0.003981540034615132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_59", + "improvement_over_parent": null + }, + "node_61": { + "node_id": "node_61", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_60", + "improvement_over_parent": null + }, + "node_62": { + "node_id": "node_62", + "content": "INITIAL DESIGN (Trace 9)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0015)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 158.41 kg\n Factor of Safety: 0.03\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": 158.40935664765783, + "fos_buckling": 0.03399142803081361, + "fos_yielding": 0.4223562545519762, + "deflection": 0.024567491819017104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_63": { + "node_id": "node_63", + "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 161.07 kg\n Factor of Safety: 0.03\n Max Deflection: 2.45e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.06638267005553, + "fos_buckling": 0.03399142803081362, + "fos_yielding": 0.4223562545519762, + "deflection": 0.024523862551169326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.645)" + }, + "parent_node_id": "node_62", + "improvement_over_parent": null + }, + "node_64": { + "node_id": "node_64", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 192.04 kg\n Factor of Safety: 0.04\n Max Deflection: 2.06e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.03512613715435, + "fos_buckling": 0.039616365244986865, + "fos_yielding": 0.5029007714944165, + "deflection": 0.020603085064911375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_63", + "improvement_over_parent": null + }, + "node_65": { + "node_id": "node_65", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n Mass: 199.44 kg\n Factor of Safety: 1.24\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.44375837257363, + "fos_buckling": 1.244690529832286, + "fos_yielding": 2.057206954171144, + "deflection": 0.00509603956061134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003208)" + }, + "parent_node_id": "node_64", + "improvement_over_parent": null + }, + "node_66": { + "node_id": "node_66", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.41 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.40997574492445, + "fos_buckling": 1.5402036011793965, + "fos_yielding": 2.6480931776662495, + "deflection": 0.003961682496565824, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_65", + "improvement_over_parent": null + }, + "node_67": { + "node_id": "node_67", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_66", + "improvement_over_parent": null + }, + "node_68": { + "node_id": "node_68", + "content": "INITIAL DESIGN (Trace 10)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 182.73 kg\n Factor of Safety: 0.51\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.7318966023316, + "fos_buckling": 0.5057356223695967, + "fos_yielding": 1.8908770294471433, + "deflection": 0.006589475278925937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_69": { + "node_id": "node_69", + "content": "MODIFICATION: Increase 19 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 187.93 kg\n Factor of Safety: 0.72\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.9319837031437, + "fos_buckling": 0.7232440844217619, + "fos_yielding": 1.9609140994897285, + "deflection": 0.00613833666703093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.524)" + }, + "parent_node_id": "node_68", + "improvement_over_parent": null + }, + "node_70": { + "node_id": "node_70", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 220.56 kg\n Factor of Safety: 0.83\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.563249897525, + "fos_buckling": 0.8278297529330841, + "fos_yielding": 2.297915152950262, + "deflection": 0.005240377009071503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_69", + "improvement_over_parent": null + }, + "node_71": { + "node_id": "node_71", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n Mass: 224.68 kg\n Factor of Safety: 1.38\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.67886622917297, + "fos_buckling": 1.3770753422705906, + "fos_yielding": 2.315005780735664, + "deflection": 0.004530236554769981, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002561)" + }, + "parent_node_id": "node_70", + "improvement_over_parent": null + }, + "node_72": { + "node_id": "node_72", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.40 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4018104925213, + "fos_buckling": 1.5402727344119422, + "fos_yielding": 2.648209371848121, + "deflection": 0.00396178184046264, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_71", + "improvement_over_parent": null + }, + "node_73": { + "node_id": "node_73", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_72", + "improvement_over_parent": null + }, + "node_74": { + "node_id": "node_74", + "content": "INITIAL DESIGN (Trace 11)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 183.93 kg\n Factor of Safety: 0.61\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.93460764707163, + "fos_buckling": 0.6127239964562179, + "fos_yielding": 2.203379659781517, + "deflection": 0.005351218586285389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_75": { + "node_id": "node_75", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n Mass: 190.90 kg\n Factor of Safety: 0.61\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.90464396323597, + "fos_buckling": 0.6124810119775763, + "fos_yielding": 2.202502906012761, + "deflection": 0.005785944961702486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002855)" + }, + "parent_node_id": "node_74", + "improvement_over_parent": null + }, + "node_76": { + "node_id": "node_76", + "content": "MODIFICATION: Increase 16 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0053)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n Mass: 195.20 kg\n Factor of Safety: 0.61\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.20104898670718, + "fos_buckling": 0.6121069434821258, + "fos_yielding": 2.201153170255337, + "deflection": 0.005695754783674326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.256)" + }, + "parent_node_id": "node_75", + "improvement_over_parent": null + }, + "node_77": { + "node_id": "node_77", + "content": "MODIFICATION: Increase 16 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0078)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n Mass: 204.57 kg\n Factor of Safety: 0.61\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.57420327733027, + "fos_buckling": 0.6112924491151427, + "fos_yielding": 2.1982142835848215, + "deflection": 0.005575821525918279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.481)" + }, + "parent_node_id": "node_76", + "improvement_over_parent": null + }, + "node_78": { + "node_id": "node_78", + "content": "MODIFICATION: Increase 14 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0056)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0078)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n Mass: 211.32 kg\n Factor of Safety: 0.61\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.3241213983368, + "fos_buckling": 0.6109411927711608, + "fos_yielding": 2.1969468765329707, + "deflection": 0.005499813827736072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.634)" + }, + "parent_node_id": "node_77", + "improvement_over_parent": null + }, + "node_79": { + "node_id": "node_79", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0089)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 237.03 kg\n Factor of Safety: 0.67\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.0271385452298, + "fos_buckling": 0.6715317542844315, + "fos_yielding": 2.463769325309204, + "deflection": 0.004906234814186191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_78", + "improvement_over_parent": null + }, + "node_80": { + "node_id": "node_80", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0089)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 258.28 kg\n Factor of Safety: 1.47\n Max Deflection: 3.86e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.28226462712195, + "fos_buckling": 1.4685952289856417, + "fos_yielding": 2.7135351500395397, + "deflection": 0.0038588777466395936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_79", + "improvement_over_parent": null + }, + "node_81": { + "node_id": "node_81", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0089)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 264.84 kg\n Factor of Safety: 1.48\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.84105281527155, + "fos_buckling": 1.4779884621148862, + "fos_yielding": 2.6546778107572773, + "deflection": 0.003909708688495513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_80", + "improvement_over_parent": null + }, + "node_82": { + "node_id": "node_82", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_81", + "improvement_over_parent": null + }, + "node_83": { + "node_id": "node_83", + "content": "INITIAL DESIGN (Trace 12)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 183.32 kg\n Factor of Safety: 0.16\n Max Deflection: 4.86e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.32352988076667, + "fos_buckling": 0.1633874689633473, + "fos_yielding": 1.2596203959136518, + "deflection": 4860988287566.679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_84": { + "node_id": "node_84", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 215.27 kg\n Factor of Safety: 0.98\n Max Deflection: 3.53e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.27347225450418, + "fos_buckling": 0.9785116450761491, + "fos_yielding": 2.519240791827304, + "deflection": 3532443360167.0806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_83", + "improvement_over_parent": null + }, + "node_85": { + "node_id": "node_85", + "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 216.68 kg\n Factor of Safety: 0.72\n Max Deflection: 4.12e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.6849622994258, + "fos_buckling": 0.7178261305348855, + "fos_yielding": 2.5192407918273036, + "deflection": 4121227318629.6255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.181)" + }, + "parent_node_id": "node_84", + "improvement_over_parent": null + }, + "node_86": { + "node_id": "node_86", + "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 218.29 kg\n Factor of Safety: 0.29\n Max Deflection: 3.11e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.29020598528982, + "fos_buckling": 0.2859280706858578, + "fos_yielding": 3.7772921967854867, + "deflection": 3112254958561.8267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.202)" + }, + "parent_node_id": "node_85", + "improvement_over_parent": null + }, + "node_87": { + "node_id": "node_87", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.55 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.54533206718196, + "fos_buckling": 0.9267158531185038, + "fos_yielding": 2.6302566464559884, + "deflection": 0.004577213783540257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_86", + "improvement_over_parent": null + }, + "node_88": { + "node_id": "node_88", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53469663384186, + "fos_buckling": 1.5408004483808693, + "fos_yielding": 2.648919001861855, + "deflection": 0.00395991046154875, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_87", + "improvement_over_parent": null + }, + "node_89": { + "node_id": "node_89", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_88", + "improvement_over_parent": null + }, + "node_90": { + "node_id": "node_90", + "content": "INITIAL DESIGN (Trace 13)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 195.01 kg\n Factor of Safety: 0.68\n Max Deflection: 3.58e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.0123378026493, + "fos_buckling": 0.676950274875514, + "fos_yielding": 3.3589877224364044, + "deflection": 3576372733505.694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_91": { + "node_id": "node_91", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n\nPerformance:\n Mass: 200.77 kg\n Factor of Safety: 0.13\n Max Deflection: 8.65e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.77132114166724, + "fos_buckling": 0.12846327921902378, + "fos_yielding": 0.877583133377299, + "deflection": 8648305206193.671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002557)" + }, + "parent_node_id": "node_90", + "improvement_over_parent": null + }, + "node_92": { + "node_id": "node_92", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n Mass: 204.86 kg\n Factor of Safety: 0.60\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.86171703900348, + "fos_buckling": 0.5988027928061577, + "fos_yielding": 2.144821625217628, + "deflection": 0.005862076382978109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002544)" + }, + "parent_node_id": "node_91", + "improvement_over_parent": null + }, + "node_93": { + "node_id": "node_93", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 236.19 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.19139006024892, + "fos_buckling": 0.6722742833318789, + "fos_yielding": 2.4667803935895143, + "deflection": 0.005094914807554742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_92", + "improvement_over_parent": null + }, + "node_94": { + "node_id": "node_94", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.45 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4465161421411, + "fos_buckling": 1.540381957798807, + "fos_yielding": 2.6484292823346167, + "deflection": 0.003961201788002732, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 147.64 kg\n Factor of Safety: 0.03\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": 147.6435713822135, + "fos_buckling": 0.03488143626625669, + "fos_yielding": 0.4347922179033813, + "deflection": 0.024703691298871146, + "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: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 149.36 kg\n Factor of Safety: 0.03\n Max Deflection: 2.47e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.3550220305016, + "fos_buckling": 0.03487954229021132, + "fos_yielding": 0.43476860975722764, + "deflection": 0.02465185713861749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.664)" + }, + "parent_node_id": "node_96", + "improvement_over_parent": null + }, + "node_98": { + "node_id": "node_98", + "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 151.69 kg\n Factor of Safety: 0.03\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": 151.69021770345717, + "fos_buckling": 0.034874374850162565, + "fos_yielding": 0.4347041983407214, + "deflection": 0.023819667267611148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.572)" + }, + "parent_node_id": "node_97", + "improvement_over_parent": null + }, + "node_99": { + "node_id": "node_99", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n\nPerformance:\n Mass: 158.08 kg\n Factor of Safety: 0.48\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.08028037067746, + "fos_buckling": 0.47732679059250954, + "fos_yielding": 1.525620226864623, + "deflection": 0.0076289397601843785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002740)" + }, + "parent_node_id": "node_98", + "improvement_over_parent": null + }, + "node_100": { + "node_id": "node_100", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n Mass: 189.57 kg\n Factor of Safety: 0.56\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.56726182266047, + "fos_buckling": 0.5592786650548753, + "fos_yielding": 1.826628568113285, + "deflection": 0.006371019180761347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_99", + "improvement_over_parent": null + }, + "node_101": { + "node_id": "node_101", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 206.35 kg\n Factor of Safety: 1.28\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.3500575835243, + "fos_buckling": 1.2815591094482623, + "fos_yielding": 2.127891177520983, + "deflection": 0.0049275382694896905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003758)" + }, + "parent_node_id": "node_100", + "improvement_over_parent": null + }, + "node_102": { + "node_id": "node_102", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 231.05 kg\n Factor of Safety: 1.41\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.0509919449983, + "fos_buckling": 1.4096040934392648, + "fos_yielding": 2.3799196894822057, + "deflection": 0.00440702614061657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_101", + "improvement_over_parent": null + }, + "node_103": { + "node_id": "node_103", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5433299427412, + "fos_buckling": 1.5409705771297033, + "fos_yielding": 2.649594781520589, + "deflection": 0.00395973319764198, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_102", + "improvement_over_parent": null + }, + "node_104": { + "node_id": "node_104", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_103", + "improvement_over_parent": null + }, + "node_105": { + "node_id": "node_105", + "content": "INITIAL DESIGN (Trace 15)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\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_106": { + "node_id": "node_106", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 246.17 kg\n Factor of Safety: 0.67\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.16907370340343, + "fos_buckling": 0.6686041312609426, + "fos_yielding": 2.264370266493837, + "deflection": 0.005648496090199322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_105", + "improvement_over_parent": null + }, + "node_107": { + "node_id": "node_107", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 250.89 kg\n Factor of Safety: 1.33\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.885892952765, + "fos_buckling": 1.325517947613376, + "fos_yielding": 2.635679396654586, + "deflection": 0.004035326779416191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_106", + "improvement_over_parent": null + }, + "node_108": { + "node_id": "node_108", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52849318158434, + "fos_buckling": 1.5408269587209598, + "fos_yielding": 2.6493666075445885, + "deflection": 0.003959916059564014, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_107", + "improvement_over_parent": null + }, + "node_109": { + "node_id": "node_109", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_108", + "improvement_over_parent": null + }, + "node_110": { + "node_id": "node_110", + "content": "INITIAL DESIGN (Trace 16)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 188.57 kg\n Factor of Safety: 0.36\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": 188.56581769089533, + "fos_buckling": 0.35938585248510974, + "fos_yielding": 1.121887791536436, + "deflection": 0.014616367183157342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_111": { + "node_id": "node_111", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 224.67 kg\n Factor of Safety: 0.42\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": 224.67314815862085, + "fos_buckling": 0.4166933275551568, + "fos_yielding": 1.3335922742011423, + "deflection": 0.012296031894424464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_110", + "improvement_over_parent": null + }, + "node_112": { + "node_id": "node_112", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.00 kg\n Factor of Safety: 0.45\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": 249.00073750934538, + "fos_buckling": 0.45324553747203833, + "fos_yielding": 1.4756735889564938, + "deflection": 0.011112127109521426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_111", + "improvement_over_parent": null + }, + "node_113": { + "node_id": "node_113", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.64 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.63760103699894, + "fos_buckling": 1.5413630091911459, + "fos_yielding": 2.6505025695182844, + "deflection": 0.003958376184896104, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_112", + "improvement_over_parent": null + }, + "node_114": { + "node_id": "node_114", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_113", + "improvement_over_parent": null + }, + "node_115": { + "node_id": "node_115", + "content": "INITIAL DESIGN (Trace 17)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n Mass: 131.88 kg\n Factor of Safety: 0.06\n Max Deflection: 1.60e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.87660633151222, + "fos_buckling": 0.05928186349946979, + "fos_yielding": 0.7412939931969543, + "deflection": 15965080114053.04, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_116": { + "node_id": "node_116", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n\nPerformance:\n Mass: 135.12 kg\n Factor of Safety: 0.07\n Max Deflection: 3.57e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.11745026940397, + "fos_buckling": 0.06916217408271476, + "fos_yielding": 0.31490509897841296, + "deflection": 35654159362884.78, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001982)" + }, + "parent_node_id": "node_115", + "improvement_over_parent": null + }, + "node_117": { + "node_id": "node_117", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n Mass: 170.35 kg\n Factor of Safety: 0.32\n Max Deflection: 5.08e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.34710467725805, + "fos_buckling": 0.31831900323588885, + "fos_yielding": 1.6459215969079122, + "deflection": 5075717071935.8, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_116", + "improvement_over_parent": null + }, + "node_118": { + "node_id": "node_118", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 177.82 kg\n Factor of Safety: 0.08\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": 177.8233192601947, + "fos_buckling": 0.07974252275499204, + "fos_yielding": 1.0285886996158025, + "deflection": 0.013974840621844557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003436)" + }, + "parent_node_id": "node_117", + "improvement_over_parent": null + }, + "node_119": { + "node_id": "node_119", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 196.22 kg\n Factor of Safety: 0.08\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": 196.22203414006222, + "fos_buckling": 0.07978503283428984, + "fos_yielding": 1.0291370317436914, + "deflection": 0.011691684231039704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004116)" + }, + "parent_node_id": "node_118", + "improvement_over_parent": null + }, + "node_120": { + "node_id": "node_120", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 0.60\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.85477269761424, + "fos_buckling": 0.5976282767180726, + "fos_yielding": 1.9717296135276088, + "deflection": 0.005899740320996674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003128)" + }, + "parent_node_id": "node_119", + "improvement_over_parent": null + }, + "node_121": { + "node_id": "node_121", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 222.99 kg\n Factor of Safety: 1.37\n Max Deflection: 4.56e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.99490837499135, + "fos_buckling": 1.3684543182565896, + "fos_yielding": 2.2978702137480833, + "deflection": 0.004564122657031128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004087)" + }, + "parent_node_id": "node_120", + "improvement_over_parent": null + }, + "node_122": { + "node_id": "node_122", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.70 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7031751577966, + "fos_buckling": 1.5417665745671745, + "fos_yielding": 2.651317317669337, + "deflection": 0.003957318575799193, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_121", + "improvement_over_parent": null + }, + "node_123": { + "node_id": "node_123", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_122", + "improvement_over_parent": null + }, + "node_124": { + "node_id": "node_124", + "content": "INITIAL DESIGN (Trace 18)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 194.66 kg\n Factor of Safety: 0.79\n Max Deflection: 5.59e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.65733833642363, + "fos_buckling": 0.7901528160985349, + "fos_yielding": 2.17627973379824, + "deflection": 0.005586948990930069, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_125": { + "node_id": "node_125", + "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 197.28 kg\n Factor of Safety: 0.79\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.28319196395617, + "fos_buckling": 0.7901528160985349, + "fos_yielding": 2.171078831874848, + "deflection": 0.005543504481867423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.416)" + }, + "parent_node_id": "node_124", + "improvement_over_parent": null + }, + "node_126": { + "node_id": "node_126", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 212.10 kg\n Factor of Safety: 1.31\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.10270998077488, + "fos_buckling": 1.3117497494435215, + "fos_yielding": 2.186639045004777, + "deflection": 0.004795381443932955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003589)" + }, + "parent_node_id": "node_125", + "improvement_over_parent": null + }, + "node_127": { + "node_id": "node_127", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.49 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4933777053508, + "fos_buckling": 1.5406027429297524, + "fos_yielding": 2.6490882291469333, + "deflection": 0.003960407039760834, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_126", + "improvement_over_parent": null + }, + "node_128": { + "node_id": "node_128", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_127", + "improvement_over_parent": null + }, + "node_129": { + "node_id": "node_129", + "content": "INITIAL DESIGN (Trace 19)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 200.70 kg\n Factor of Safety: 0.41\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.70013440757054, + "fos_buckling": 0.40610321232856067, + "fos_yielding": 2.0586601038467403, + "deflection": 0.00546214901250945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_130": { + "node_id": "node_130", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 243.17 kg\n Factor of Safety: 0.48\n Max Deflection: 4.52e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.16789697841074, + "fos_buckling": 0.4777199477728298, + "fos_yielding": 2.4890470427353057, + "deflection": 0.004518471399559053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_129", + "improvement_over_parent": null + }, + "node_131": { + "node_id": "node_131", + "content": "MODIFICATION: Increase 19 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.61 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.61089456778595, + "fos_buckling": 0.46916990279424936, + "fos_yielding": 2.4849045752426746, + "deflection": 0.004476898101010412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.290)" + }, + "parent_node_id": "node_130", + "improvement_over_parent": null + }, + "node_132": { + "node_id": "node_132", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.58 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5826479664816, + "fos_buckling": 1.5410760751348014, + "fos_yielding": 2.6498684734029005, + "deflection": 0.003959123571957953, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 20)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 157.23 kg\n Factor of Safety: 0.18\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": 157.23260791193093, + "fos_buckling": 0.1763069638523175, + "fos_yielding": 0.8756473090218609, + "deflection": 0.019302328067070447, + "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: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 180.35 kg\n Factor of Safety: 0.20\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": 180.34824856840604, + "fos_buckling": 0.19826091757032568, + "fos_yielding": 1.0059982285013027, + "deflection": 0.016845427427589738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_134", + "improvement_over_parent": null + }, + "node_136": { + "node_id": "node_136", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n\nPerformance:\n Mass: 187.87 kg\n Factor of Safety: 0.20\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.87265293827429, + "fos_buckling": 0.19826091757032568, + "fos_yielding": 1.148777023378156, + "deflection": 0.010164477610671827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003460)" + }, + "parent_node_id": "node_135", + "improvement_over_parent": null + }, + "node_137": { + "node_id": "node_137", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 215.78 kg\n Factor of Safety: 0.22\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.78190459383487, + "fos_buckling": 0.22243911470307315, + "fos_yielding": 1.318929725530987, + "deflection": 0.008858780220746461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_136", + "improvement_over_parent": null + }, + "node_138": { + "node_id": "node_138", + "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 218.25 kg\n Factor of Safety: 0.22\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.2498309435688, + "fos_buckling": 0.22243911470307337, + "fos_yielding": 1.3189297255309884, + "deflection": 0.008774658469197793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.410)" + }, + "parent_node_id": "node_137", + "improvement_over_parent": null + }, + "node_139": { + "node_id": "node_139", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 250.20 kg\n Factor of Safety: 1.42\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.19977331730632, + "fos_buckling": 1.416053030538513, + "fos_yielding": 2.7206839370537472, + "deflection": 0.0038895043726119715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_138", + "improvement_over_parent": null + }, + "node_140": { + "node_id": "node_140", + "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 251.98 kg\n Factor of Safety: 1.43\n Max Deflection: 3.87e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.98235320651762, + "fos_buckling": 1.4271868910836172, + "fos_yielding": 2.7206839370537472, + "deflection": 0.0038740158182931955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.185)" + }, + "parent_node_id": "node_139", + "improvement_over_parent": null + }, + "node_141": { + "node_id": "node_141", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 258.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.54114139466725, + "fos_buckling": 1.541141976048392, + "fos_yielding": 2.651422638838622, + "deflection": 0.003946099424561643, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 21)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 184.29 kg\n Factor of Safety: 0.56\n Max Deflection: 6.96e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.29415105368645, + "fos_buckling": 0.5648578669972256, + "fos_yielding": 1.965800721968861, + "deflection": 0.006960844929277121, + "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 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 201.47 kg\n Factor of Safety: 0.92\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.46803791338573, + "fos_buckling": 0.9246083019122096, + "fos_yielding": 1.965266541204147, + "deflection": 0.005626100720227608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003821)" + }, + "parent_node_id": "node_143", + "improvement_over_parent": null + }, + "node_145": { + "node_id": "node_145", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 205.51 kg\n Factor of Safety: 1.08\n Max Deflection: 4.96e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.5112202141174, + "fos_buckling": 1.0751329048664984, + "fos_yielding": 2.1292194729957723, + "deflection": 0.004961745953647831, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002428)" + }, + "parent_node_id": "node_144", + "improvement_over_parent": null + }, + "node_146": { + "node_id": "node_146", + "content": "MODIFICATION: Increase 10 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 207.96 kg\n Factor of Safety: 1.11\n Max Deflection: 4.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.96085421082685, + "fos_buckling": 1.1145284331407117, + "fos_yielding": 2.1315825568854314, + "deflection": 0.004943484726644975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.511)" + }, + "parent_node_id": "node_145", + "improvement_over_parent": null + }, + "node_147": { + "node_id": "node_147", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0045)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.34 kg\n Factor of Safety: 1.35\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.33599839514693, + "fos_buckling": 1.352239066331755, + "fos_yielding": 2.6327075145625063, + "deflection": 0.0040045803619036865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 22)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 238.42 kg\n Factor of Safety: 0.69\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.42227607962258, + "fos_buckling": 0.693554156792741, + "fos_yielding": 2.555541686710598, + "deflection": 0.003934328742500201, + "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: Increase 18 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.04 kg\n Factor of Safety: 0.68\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.04234067082956, + "fos_buckling": 0.6844447101686965, + "fos_yielding": 2.5531795514404467, + "deflection": 0.0038919218203585563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.305)" + }, + "parent_node_id": "node_149", + "improvement_over_parent": null + }, + "node_151": { + "node_id": "node_151", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 249.68 kg\n Factor of Safety: 0.73\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.6849408996489, + "fos_buckling": 0.7290689398835858, + "fos_yielding": 2.5618184877187296, + "deflection": 0.0038157735697410804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_150", + "improvement_over_parent": null + }, + "node_152": { + "node_id": "node_152", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5237039176283, + "fos_buckling": 1.5408287670405767, + "fos_yielding": 2.649370693868824, + "deflection": 0.003959974544418058, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_151", + "improvement_over_parent": null + }, + "node_153": { + "node_id": "node_153", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_152", + "improvement_over_parent": null + }, + "node_154": { + "node_id": "node_154", + "content": "INITIAL DESIGN (Trace 23)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 175.13 kg\n Factor of Safety: 1.10\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.1326307967079, + "fos_buckling": 1.0976809321768608, + "fos_yielding": 1.827980813173269, + "deflection": 0.00573988910709934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_155": { + "node_id": "node_155", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 223.69 kg\n Factor of Safety: 1.38\n Max Deflection: 4.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.69052779257552, + "fos_buckling": 1.378006779897045, + "fos_yielding": 2.3291695442124256, + "deflection": 0.004507298799311427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_154", + "improvement_over_parent": null + }, + "node_156": { + "node_id": "node_156", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.68 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.6756114316849, + "fos_buckling": 1.5383060762176732, + "fos_yielding": 2.6579642512906325, + "deflection": 0.003951181638177421, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_155", + "improvement_over_parent": null + }, + "node_157": { + "node_id": "node_157", + "content": "MODIFICATION: Increase 16 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.41 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4123724971622, + "fos_buckling": 1.5402370022653866, + "fos_yielding": 2.6480957953229605, + "deflection": 0.003961784300182276, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.395)" + }, + "parent_node_id": "node_156", + "improvement_over_parent": null + }, + "node_158": { + "node_id": "node_158", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_157", + "improvement_over_parent": null + }, + "node_159": { + "node_id": "node_159", + "content": "INITIAL DESIGN (Trace 24)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 219.07 kg\n Factor of Safety: 0.83\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.06521580218507, + "fos_buckling": 0.8323520869965623, + "fos_yielding": 1.8270892891484725, + "deflection": 0.005320166893024843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_160": { + "node_id": "node_160", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.60 kg\n Factor of Safety: 0.93\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.59838585101232, + "fos_buckling": 0.9255799920181141, + "fos_yielding": 2.0883280149694223, + "deflection": 0.004677091150163409, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_159", + "improvement_over_parent": null + }, + "node_161": { + "node_id": "node_161", + "content": "MODIFICATION: Increase 0 thickness by 67%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.76 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.7608948537682, + "fos_buckling": 0.9254968661970657, + "fos_yielding": 2.629251639218134, + "deflection": 0.004581390743291066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.667)" + }, + "parent_node_id": "node_160", + "improvement_over_parent": null + }, + "node_162": { + "node_id": "node_162", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.47771410312976, + "fos_buckling": 1.5404732604062241, + "fos_yielding": 2.64878335719754, + "deflection": 0.003960670527005325, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_161", + "improvement_over_parent": null + }, + "node_163": { + "node_id": "node_163", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_162", + "improvement_over_parent": null + }, + "node_164": { + "node_id": "node_164", + "content": "INITIAL DESIGN (Trace 25)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n Mass: 179.34 kg\n Factor of Safety: 0.93\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.3437343940859, + "fos_buckling": 0.9273260090947267, + "fos_yielding": 2.0091444258059816, + "deflection": 0.005409554668372964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_165": { + "node_id": "node_165", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 201.84 kg\n Factor of Safety: 1.03\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.84365289386642, + "fos_buckling": 1.0333135621233949, + "fos_yielding": 2.258112329385402, + "deflection": 0.004813194120143101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_164", + "improvement_over_parent": null + }, + "node_166": { + "node_id": "node_166", + "content": "MODIFICATION: Increase 19 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 207.99 kg\n Factor of Safety: 1.23\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.98723717218041, + "fos_buckling": 1.2260350010688368, + "fos_yielding": 2.2577147271944265, + "deflection": 0.004679051436080422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.577)" + }, + "parent_node_id": "node_165", + "improvement_over_parent": null + }, + "node_167": { + "node_id": "node_167", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n\nPerformance:\n Mass: 213.42 kg\n Factor of Safety: 1.32\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.42266997895356, + "fos_buckling": 1.318760801425251, + "fos_yielding": 2.200165377809451, + "deflection": 0.004766044051194094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002181)" + }, + "parent_node_id": "node_166", + "improvement_over_parent": null + }, + "node_168": { + "node_id": "node_168", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53804693830557, + "fos_buckling": 1.5409325401262575, + "fos_yielding": 2.649602875687405, + "deflection": 0.003959695760735625, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_167", + "improvement_over_parent": null + }, + "node_169": { + "node_id": "node_169", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_168", + "improvement_over_parent": null + }, + "node_170": { + "node_id": "node_170", + "content": "INITIAL DESIGN (Trace 26)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 148.50 kg\n Factor of Safety: 0.22\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": 148.50422474745218, + "fos_buckling": 0.22310245677065735, + "fos_yielding": 0.9907601975658538, + "deflection": 0.012463334173564137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_171": { + "node_id": "node_171", + "content": "MODIFICATION: Increase 17 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 151.15 kg\n Factor of Safety: 0.22\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": 151.14979326049715, + "fos_buckling": 0.22309740726813584, + "fos_yielding": 0.9907186250693215, + "deflection": 0.012457436461858398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.247)" + }, + "parent_node_id": "node_170", + "improvement_over_parent": null + }, + "node_172": { + "node_id": "node_172", + "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 156.15 kg\n Factor of Safety: 0.22\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": 156.14625465265158, + "fos_buckling": 0.22310556318157732, + "fos_yielding": 1.1458677214214772, + "deflection": 0.01114900266941363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.536)" + }, + "parent_node_id": "node_171", + "improvement_over_parent": null + }, + "node_173": { + "node_id": "node_173", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 198.91 kg\n Factor of Safety: 0.27\n Max Deflection: 8.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.9071784619715, + "fos_buckling": 0.27347601856858467, + "fos_yielding": 1.456377920436924, + "deflection": 0.008763805443342565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_172", + "improvement_over_parent": null + }, + "node_174": { + "node_id": "node_174", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 230.86 kg\n Factor of Safety: 0.65\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.85712083570903, + "fos_buckling": 0.6464317173104366, + "fos_yielding": 1.716490401352228, + "deflection": 0.0054581807512865356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_173", + "improvement_over_parent": null + }, + "node_175": { + "node_id": "node_175", + "content": "MODIFICATION: Increase 11 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 233.01 kg\n Factor of Safety: 0.65\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.0117891687306, + "fos_buckling": 0.646476615518732, + "fos_yielding": 1.7163378490677854, + "deflection": 0.005429901816596923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.527)" + }, + "parent_node_id": "node_174", + "improvement_over_parent": null + }, + "node_176": { + "node_id": "node_176", + "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 236.53 kg\n Factor of Safety: 0.67\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.53387479970817, + "fos_buckling": 0.6736984555202276, + "fos_yielding": 2.2737100088562774, + "deflection": 0.005116836863378677, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.567)" + }, + "parent_node_id": "node_175", + "improvement_over_parent": null + }, + "node_177": { + "node_id": "node_177", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.49 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4900588065238, + "fos_buckling": 1.5407465269246683, + "fos_yielding": 2.6488602464926987, + "deflection": 0.003960561079260975, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_176", + "improvement_over_parent": null + }, + "node_178": { + "node_id": "node_178", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_177", + "improvement_over_parent": null + }, + "node_179": { + "node_id": "node_179", + "content": "INITIAL DESIGN (Trace 27)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 190.80 kg\n Factor of Safety: 0.78\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.7954007491591, + "fos_buckling": 0.7753713125109809, + "fos_yielding": 1.932341036982291, + "deflection": 0.005864527535544261, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_180": { + "node_id": "node_180", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 205.28 kg\n Factor of Safety: 1.23\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.28104603802564, + "fos_buckling": 1.2275956812861542, + "fos_yielding": 1.7905583272880492, + "deflection": 0.0051321114707054815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003502)" + }, + "parent_node_id": "node_179", + "improvement_over_parent": null + }, + "node_181": { + "node_id": "node_181", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 255.05 kg\n Factor of Safety: 1.47\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.05261493881943, + "fos_buckling": 1.4746310289801616, + "fos_yielding": 2.2301994065215744, + "deflection": 0.004139270519887443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_180", + "improvement_over_parent": null + }, + "node_182": { + "node_id": "node_182", + "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.56 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5624324702936, + "fos_buckling": 1.5410078575865642, + "fos_yielding": 2.649731489824871, + "deflection": 0.003959668802802732, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.420)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 28)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0011)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 126.30 kg\n Factor of Safety: 0.72\n Max Deflection: 8.02e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.30399839931275, + "fos_buckling": 0.7201136557939241, + "fos_yielding": 1.3424051951852642, + "deflection": 0.008021446801079898, + "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: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 139.81 kg\n Factor of Safety: 0.79\n Max Deflection: 7.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.80868727605306, + "fos_buckling": 0.7917637356696106, + "fos_yielding": 1.4848685299315523, + "deflection": 0.007252114905817618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_184", + "improvement_over_parent": null + }, + "node_186": { + "node_id": "node_186", + "content": "MODIFICATION: Increase 15 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 141.77 kg\n Factor of Safety: 0.79\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.76816682512336, + "fos_buckling": 0.7933006769092492, + "fos_yielding": 1.4721062940487335, + "deflection": 0.007149135071673401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.364)" + }, + "parent_node_id": "node_185", + "improvement_over_parent": null + }, + "node_187": { + "node_id": "node_187", + "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 142.37 kg\n Factor of Safety: 0.92\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.37229304177012, + "fos_buckling": 0.9247943586084216, + "fos_yielding": 1.4724232268738136, + "deflection": 0.007115370680433711, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.316)" + }, + "parent_node_id": "node_186", + "improvement_over_parent": null + }, + "node_188": { + "node_id": "node_188", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 158.71 kg\n Factor of Safety: 1.02\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.7066640120445, + "fos_buckling": 1.0193135097973964, + "fos_yielding": 1.6401256680795202, + "deflection": 0.006389086526847754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_187", + "improvement_over_parent": null + }, + "node_189": { + "node_id": "node_189", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 187.43 kg\n Factor of Safety: 1.18\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.4328522263722, + "fos_buckling": 1.1797984242025235, + "fos_yielding": 1.934444730077101, + "deflection": 0.005418885075709032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_188", + "improvement_over_parent": null + }, + "node_190": { + "node_id": "node_190", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 209.38 kg\n Factor of Safety: 1.30\n Max Deflection: 4.86e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.37943894154034, + "fos_buckling": 1.2974896848983437, + "fos_yielding": 2.158781262116725, + "deflection": 0.004857045881430102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_189", + "improvement_over_parent": null + }, + "node_191": { + "node_id": "node_191", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.06 kg\n Factor of Safety: 1.54\n Max Deflection: 3.97e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.0606907870707, + "fos_buckling": 1.538562511759934, + "fos_yielding": 2.6446275254678477, + "deflection": 0.003967019793991069, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_190", + "improvement_over_parent": null + }, + "node_192": { + "node_id": "node_192", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_191", + "improvement_over_parent": null + }, + "node_193": { + "node_id": "node_193", + "content": "INITIAL DESIGN (Trace 29)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 218.68 kg\n Factor of Safety: 1.11\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.67662822265103, + "fos_buckling": 1.1100255015594571, + "fos_yielding": 1.587286456614602, + "deflection": 0.004766819295557316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_194": { + "node_id": "node_194", + "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 220.64 kg\n Factor of Safety: 1.30\n Max Deflection: 4.74e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.63775127773332, + "fos_buckling": 1.303889144908384, + "fos_yielding": 1.5869297883061526, + "deflection": 0.004736358269531946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.307)" + }, + "parent_node_id": "node_193", + "improvement_over_parent": null + }, + "node_195": { + "node_id": "node_195", + "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 223.83 kg\n Factor of Safety: 1.30\n Max Deflection: 4.35e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.83426674506032, + "fos_buckling": 1.3044734076431928, + "fos_yielding": 2.4283357092152476, + "deflection": 0.004351958042514504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.575)" + }, + "parent_node_id": "node_194", + "improvement_over_parent": null + }, + "node_196": { + "node_id": "node_196", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n\nPerformance:\n Mass: 229.69 kg\n Factor of Safety: 1.40\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.68519309999277, + "fos_buckling": 1.4026151583230317, + "fos_yielding": 2.3665579472314753, + "deflection": 0.004432722879917636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002362)" + }, + "parent_node_id": "node_195", + "improvement_over_parent": null + }, + "node_197": { + "node_id": "node_197", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.69 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.69269323596825, + "fos_buckling": 1.5416418004528738, + "fos_yielding": 2.651731630742901, + "deflection": 0.003957331290714243, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 30)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 144.30 kg\n Factor of Safety: 0.03\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": 144.29507721237442, + "fos_buckling": 0.03300136486118423, + "fos_yielding": 0.4085381145718207, + "deflection": 0.03424132635591976, + "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 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 180.31 kg\n Factor of Safety: 0.04\n Max Deflection: 2.75e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.3101829981508, + "fos_buckling": 0.04007174806831603, + "fos_yielding": 0.5095221638882174, + "deflection": 0.027472497263616502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_199", + "improvement_over_parent": null + }, + "node_201": { + "node_id": "node_201", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n\nPerformance:\n Mass: 186.46 kg\n Factor of Safety: 0.04\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": 186.45519196844165, + "fos_buckling": 0.04004835014070564, + "fos_yielding": 0.509224653465507, + "deflection": 0.02041121609560657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002492)" + }, + "parent_node_id": "node_200", + "improvement_over_parent": null + }, + "node_202": { + "node_id": "node_202", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n Mass: 215.19 kg\n Factor of Safety: 0.05\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": 215.1885272809735, + "fos_buckling": 0.04518183131209169, + "fos_yielding": 0.5867677689426153, + "deflection": 0.01771910439366895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_201", + "improvement_over_parent": null + }, + "node_203": { + "node_id": "node_203", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 238.17 kg\n Factor of Safety: 0.05\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": 238.16949046186187, + "fos_buckling": 0.049090688358233305, + "fos_yielding": 0.648601605556297, + "deflection": 0.016033665844447965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_202", + "improvement_over_parent": null + }, + "node_204": { + "node_id": "node_204", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 247.73 kg\n Factor of Safety: 1.20\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.73263144108168, + "fos_buckling": 1.1987146613784392, + "fos_yielding": 2.633491602610932, + "deflection": 0.004115769124231271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_203", + "improvement_over_parent": null + }, + "node_205": { + "node_id": "node_205", + "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 253.64 kg\n Factor of Safety: 1.07\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.63944445094327, + "fos_buckling": 1.0655370555973527, + "fos_yielding": 2.6091760170944407, + "deflection": 0.004056099889740334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.497)" + }, + "parent_node_id": "node_204", + "improvement_over_parent": null + }, + "node_206": { + "node_id": "node_206", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_205", + "improvement_over_parent": null + }, + "node_207": { + "node_id": "node_207", + "content": "INITIAL DESIGN (Trace 31)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 184.42 kg\n Factor of Safety: 0.85\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.42256295163315, + "fos_buckling": 0.8505207901873432, + "fos_yielding": 1.5429546025359024, + "deflection": 0.00573572396894864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_208": { + "node_id": "node_208", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 217.72 kg\n Factor of Safety: 0.99\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.71796313760532, + "fos_buckling": 0.9917328563175665, + "fos_yielding": 1.8251751532987655, + "deflection": 0.004865127652995266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_207", + "improvement_over_parent": null + }, + "node_209": { + "node_id": "node_209", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 219.00 kg\n Factor of Safety: 0.99\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.0028185441672, + "fos_buckling": 0.992140567094302, + "fos_yielding": 1.8259255001030377, + "deflection": 0.004823887255033764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.235)" + }, + "parent_node_id": "node_208", + "improvement_over_parent": null + }, + "node_210": { + "node_id": "node_210", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.52 kg\n Factor of Safety: 1.14\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.51867194705443, + "fos_buckling": 1.137880294073096, + "fos_yielding": 2.1271811342998657, + "deflection": 0.004156823779646336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_209", + "improvement_over_parent": null + }, + "node_211": { + "node_id": "node_211", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.57 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.57240388358656, + "fos_buckling": 1.5409739607695325, + "fos_yielding": 2.6498156831627737, + "deflection": 0.003959369067192107, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.600)" + }, + "parent_node_id": "node_210", + "improvement_over_parent": null + }, + "node_212": { + "node_id": "node_212", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_211", + "improvement_over_parent": null + }, + "node_213": { + "node_id": "node_213", + "content": "INITIAL DESIGN (Trace 32)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 199.53 kg\n Factor of Safety: 0.39\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": 199.52603963453862, + "fos_buckling": 0.38704166596529194, + "fos_yielding": 0.7432506294018136, + "deflection": 0.016315116721408535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_214": { + "node_id": "node_214", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 201.74 kg\n Factor of Safety: 0.39\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": 201.7373743131226, + "fos_buckling": 0.38696805511541726, + "fos_yielding": 0.7431096738717082, + "deflection": 0.016158514275573656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.376)" + }, + "parent_node_id": "node_213", + "improvement_over_parent": null + }, + "node_215": { + "node_id": "node_215", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n Mass: 205.64 kg\n Factor of Safety: 0.39\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": 205.6354774615417, + "fos_buckling": 0.386924814856032, + "fos_yielding": 1.2220746713264, + "deflection": 0.013417933977214249, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002415)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 249.08 kg\n Factor of Safety: 0.45\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": 249.07519629674096, + "fos_buckling": 0.45334476726728523, + "fos_yielding": 1.476085041121532, + "deflection": 0.011108902839121006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.71 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7120598243945, + "fos_buckling": 1.541712532945882, + "fos_yielding": 2.6526631338038333, + "deflection": 0.0039570858426461126, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_216", + "improvement_over_parent": null + }, + "node_218": { + "node_id": "node_218", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_217", + "improvement_over_parent": null + }, + "node_219": { + "node_id": "node_219", + "content": "INITIAL DESIGN (Trace 33)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 187.31 kg\n Factor of Safety: 0.24\n Max Deflection: 9.58e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.30832774317722, + "fos_buckling": 0.23680577249330953, + "fos_yielding": 1.2550258824368232, + "deflection": 0.009576077400820492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_220": { + "node_id": "node_220", + "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 189.33 kg\n Factor of Safety: 0.24\n Max Deflection: 9.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.32971109924134, + "fos_buckling": 0.2361071397616638, + "fos_yielding": 1.2549054098749295, + "deflection": 0.009496594863600043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.377)" + }, + "parent_node_id": "node_219", + "improvement_over_parent": null + }, + "node_221": { + "node_id": "node_221", + "content": "MODIFICATION: Increase 19 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 192.45 kg\n Factor of Safety: 0.24\n Max Deflection: 9.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.4467046171169, + "fos_buckling": 0.23623386482512668, + "fos_yielding": 1.2548434955721999, + "deflection": 0.009470612183791987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.222)" + }, + "parent_node_id": "node_220", + "improvement_over_parent": null + }, + "node_222": { + "node_id": "node_222", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 223.30 kg\n Factor of Safety: 0.27\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.30143466979933, + "fos_buckling": 0.26729856885283476, + "fos_yielding": 1.453944684764646, + "deflection": 0.008172628983973678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_221", + "improvement_over_parent": null + }, + "node_223": { + "node_id": "node_223", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 255.25 kg\n Factor of Safety: 1.50\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.25137704353685, + "fos_buckling": 1.4976244885835068, + "fos_yielding": 2.649427846192614, + "deflection": 0.004020936003973062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_222", + "improvement_over_parent": null + }, + "node_224": { + "node_id": "node_224", + "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 255.87 kg\n Factor of Safety: 1.54\n Max Deflection: 4.00e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.8689350267279, + "fos_buckling": 1.5375553275699376, + "fos_yielding": 2.64882721405084, + "deflection": 0.003998213417487719, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.192)" + }, + "parent_node_id": "node_223", + "improvement_over_parent": null + }, + "node_225": { + "node_id": "node_225", + "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.39 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.38864403390903, + "fos_buckling": 1.540677004097696, + "fos_yielding": 2.6478342590595396, + "deflection": 0.003961951756121291, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.412)" + }, + "parent_node_id": "node_224", + "improvement_over_parent": null + }, + "node_226": { + "node_id": "node_226", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_225", + "improvement_over_parent": null + }, + "node_227": { + "node_id": "node_227", + "content": "INITIAL DESIGN (Trace 34)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.16 kg\n Factor of Safety: 0.05\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": 243.16400581860213, + "fos_buckling": 0.04905618203029934, + "fos_yielding": 0.6480634557588514, + "deflection": 0.01748198810501607, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_228": { + "node_id": "node_228", + "content": "MODIFICATION: Increase 14 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.67 kg\n Factor of Safety: 0.05\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": 246.672168454248, + "fos_buckling": 0.04904259003577943, + "fos_yielding": 0.6478838968414088, + "deflection": 0.016039967562604913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.376)" + }, + "parent_node_id": "node_227", + "improvement_over_parent": null + }, + "node_229": { + "node_id": "node_229", + "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.96 kg\n Factor of Safety: 0.05\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": 247.9611660872092, + "fos_buckling": 0.04903959460030408, + "fos_yielding": 0.647844325228101, + "deflection": 0.01600422680295723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.182)" + }, + "parent_node_id": "node_228", + "improvement_over_parent": null + }, + "node_230": { + "node_id": "node_230", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.524307066429, + "fos_buckling": 1.5408265970563564, + "fos_yielding": 2.649371344187265, + "deflection": 0.003960083567148298, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_229", + "improvement_over_parent": null + }, + "node_231": { + "node_id": "node_231", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_230", + "improvement_over_parent": null + }, + "node_232": { + "node_id": "node_232", + "content": "INITIAL DESIGN (Trace 35)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 205.63 kg\n Factor of Safety: 0.82\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.63425804490637, + "fos_buckling": 0.8233446602512227, + "fos_yielding": 2.11209743419797, + "deflection": 0.005004419923805391, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_233": { + "node_id": "node_233", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 221.56 kg\n Factor of Safety: 1.29\n Max Deflection: 4.40e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.56253619241153, + "fos_buckling": 1.2937766348542707, + "fos_yielding": 2.4032483461299057, + "deflection": 0.004396159288941309, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003874)" + }, + "parent_node_id": "node_232", + "improvement_over_parent": null + }, + "node_234": { + "node_id": "node_234", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 250.80 kg\n Factor of Safety: 1.43\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.80401631076845, + "fos_buckling": 1.4349160329319133, + "fos_yielding": 2.7163118108373743, + "deflection": 0.00389068725423181, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_233", + "improvement_over_parent": null + }, + "node_235": { + "node_id": "node_235", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.36 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.3628044989181, + "fos_buckling": 1.539998155544933, + "fos_yielding": 2.64760216440229, + "deflection": 0.003962516639493465, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_234", + "improvement_over_parent": null + }, + "node_236": { + "node_id": "node_236", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_235", + "improvement_over_parent": null + }, + "node_237": { + "node_id": "node_237", + "content": "INITIAL DESIGN (Trace 36)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 182.50 kg\n Factor of Safety: 0.86\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.49606287649928, + "fos_buckling": 0.8626288543837408, + "fos_yielding": 1.3578162039897594, + "deflection": 0.006451443527461172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_238": { + "node_id": "node_238", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 228.08 kg\n Factor of Safety: 1.04\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.07993786474267, + "fos_buckling": 1.0378845373664904, + "fos_yielding": 1.7044873008657582, + "deflection": 0.005176398635020195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_237", + "improvement_over_parent": null + }, + "node_239": { + "node_id": "node_239", + "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 230.57 kg\n Factor of Safety: 1.04\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.57007906348647, + "fos_buckling": 1.0375116643283415, + "fos_yielding": 2.428361318716906, + "deflection": 0.005023043722107257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.466)" + }, + "parent_node_id": "node_238", + "improvement_over_parent": null + }, + "node_240": { + "node_id": "node_240", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 249.66 kg\n Factor of Safety: 0.73\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.65982283829393, + "fos_buckling": 0.7288014207551224, + "fos_yielding": 2.5614553048138977, + "deflection": 0.00381621057660737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_239", + "improvement_over_parent": null + }, + "node_241": { + "node_id": "node_241", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.50 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4985858562734, + "fos_buckling": 1.5407524382912403, + "fos_yielding": 2.6490225541338597, + "deflection": 0.003960460381974926, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_240", + "improvement_over_parent": null + }, + "node_242": { + "node_id": "node_242", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_241", + "improvement_over_parent": null + }, + "node_243": { + "node_id": "node_243", + "content": "INITIAL DESIGN (Trace 37)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 174.90 kg\n Factor of Safety: 0.98\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.9021043611976, + "fos_buckling": 0.9757512813267938, + "fos_yielding": 1.8438226208821036, + "deflection": 0.0057632819972088575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_244": { + "node_id": "node_244", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 209.13 kg\n Factor of Safety: 1.14\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.13327497336863, + "fos_buckling": 1.1388688131763967, + "fos_yielding": 2.2012332516874316, + "deflection": 0.004829413799264841, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_243", + "improvement_over_parent": null + }, + "node_245": { + "node_id": "node_245", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 251.02 kg\n Factor of Safety: 1.33\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.024737797216, + "fos_buckling": 1.326132628950461, + "fos_yielding": 2.6371041780855657, + "deflection": 0.004033130011456698, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_244", + "improvement_over_parent": null + }, + "node_246": { + "node_id": "node_246", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.67 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.66733802603534, + "fos_buckling": 1.5415088852655447, + "fos_yielding": 2.6507944405546358, + "deflection": 0.003957785753564957, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_245", + "improvement_over_parent": null + }, + "node_247": { + "node_id": "node_247", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_246", + "improvement_over_parent": null + }, + "node_248": { + "node_id": "node_248", + "content": "INITIAL DESIGN (Trace 38)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 141.46 kg\n Factor of Safety: 0.42\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.4579499309048, + "fos_buckling": 0.41864231572748317, + "fos_yielding": 1.4668740829204188, + "deflection": 0.006696703415959137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_249": { + "node_id": "node_249", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 169.32 kg\n Factor of Safety: 0.49\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.32109639707645, + "fos_buckling": 0.4937500751857589, + "fos_yielding": 1.7537420816089209, + "deflection": 0.005604265318358996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_248", + "improvement_over_parent": null + }, + "node_250": { + "node_id": "node_250", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 203.00 kg\n Factor of Safety: 0.58\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.99863257289866, + "fos_buckling": 0.581219064530052, + "fos_yielding": 2.099566910443098, + "deflection": 0.0046841499275989094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_249", + "improvement_over_parent": null + }, + "node_251": { + "node_id": "node_251", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 209.43 kg\n Factor of Safety: 1.17\n Max Deflection: 4.86e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.4297539467943, + "fos_buckling": 1.1690122597162993, + "fos_yielding": 2.167425291608872, + "deflection": 0.004861851830201212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002617)" + }, + "parent_node_id": "node_250", + "improvement_over_parent": null + }, + "node_252": { + "node_id": "node_252", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 255.43 kg\n Factor of Safety: 1.39\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.42513980899602, + "fos_buckling": 1.3948945168580835, + "fos_yielding": 2.637849544816668, + "deflection": 0.0039965800756417875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_251", + "improvement_over_parent": null + }, + "node_253": { + "node_id": "node_253", + "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0039)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.30 kg\n Factor of Safety: 1.43\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.3022736750648, + "fos_buckling": 1.4276382986200893, + "fos_yielding": 2.6395448447401493, + "deflection": 0.003987594334650427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.321)" + }, + "parent_node_id": "node_252", + "improvement_over_parent": null + }, + "node_254": { + "node_id": "node_254", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_253", + "improvement_over_parent": null + }, + "node_255": { + "node_id": "node_255", + "content": "INITIAL DESIGN (Trace 39)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0013)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 105.24 kg\n Factor of Safety: 0.12\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": 105.24155789559012, + "fos_buckling": 0.11938444871748037, + "fos_yielding": 0.6483182828709005, + "deflection": 0.018367893027652262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_256": { + "node_id": "node_256", + "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 106.80 kg\n Factor of Safety: 0.12\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": 106.79928955849817, + "fos_buckling": 0.11937123722132051, + "fos_yielding": 0.6482465377265662, + "deflection": 0.01789134630448711, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.517)" + }, + "parent_node_id": "node_255", + "improvement_over_parent": null + }, + "node_257": { + "node_id": "node_257", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n\nPerformance:\n Mass: 110.02 kg\n Factor of Safety: 0.14\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": 110.02371287570635, + "fos_buckling": 0.14359376950303487, + "fos_yielding": 0.7186724036139951, + "deflection": 0.016585945855060583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001255)" + }, + "parent_node_id": "node_256", + "improvement_over_parent": null + }, + "node_258": { + "node_id": "node_258", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n\nPerformance:\n Mass: 140.16 kg\n Factor of Safety: 0.18\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": 140.1649996101128, + "fos_buckling": 0.1787671332510785, + "fos_yielding": 0.9142831839491423, + "deflection": 0.013035303806941649, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_257", + "improvement_over_parent": null + }, + "node_259": { + "node_id": "node_259", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n Mass: 179.85 kg\n Factor of Safety: 0.22\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.84795661265684, + "fos_buckling": 0.22235313855997094, + "fos_yielding": 1.1709828393194557, + "deflection": 0.010175540120204227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_258", + "improvement_over_parent": null + }, + "node_260": { + "node_id": "node_260", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 223.94 kg\n Factor of Safety: 0.27\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.94087370413035, + "fos_buckling": 0.2671620516271649, + "fos_yielding": 1.4550946416243424, + "deflection": 0.008186692877616234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_259", + "improvement_over_parent": null + }, + "node_261": { + "node_id": "node_261", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 255.89 kg\n Factor of Safety: 1.36\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.89081607786787, + "fos_buckling": 1.3570765645281238, + "fos_yielding": 2.608206621546425, + "deflection": 0.004047429813567347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_260", + "improvement_over_parent": null + }, + "node_262": { + "node_id": "node_262", + "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.56 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.56071079816735, + "fos_buckling": 1.5408656875332525, + "fos_yielding": 2.6496795858745092, + "deflection": 0.003959561046045847, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.263)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 40)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 210.17 kg\n Factor of Safety: 0.84\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.17132018462632, + "fos_buckling": 0.8366895750404019, + "fos_yielding": 2.401679097548084, + "deflection": 0.005175198796932033, + "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 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 238.54 kg\n Factor of Safety: 0.93\n Max Deflection: 4.57e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.54377598126874, + "fos_buckling": 0.927467442131553, + "fos_yielding": 2.7212192213722646, + "deflection": 0.004567765345177576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_264", + "improvement_over_parent": null + }, + "node_266": { + "node_id": "node_266", + "content": "MODIFICATION: Increase 16 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.35 kg\n Factor of Safety: 0.93\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.3502207079243, + "fos_buckling": 0.9264388352015696, + "fos_yielding": 2.719396545642702, + "deflection": 0.0044903663081324475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.650)" + }, + "parent_node_id": "node_265", + "improvement_over_parent": null + }, + "node_267": { + "node_id": "node_267", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 251.07 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.06703995728589, + "fos_buckling": 1.4363555832278871, + "fos_yielding": 2.7190297412490185, + "deflection": 0.0038867132499879747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_266", + "improvement_over_parent": null + }, + "node_268": { + "node_id": "node_268", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.63 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6258281454355, + "fos_buckling": 1.541253214506913, + "fos_yielding": 2.6502993053187773, + "deflection": 0.003958422065621927, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_267", + "improvement_over_parent": null + }, + "node_269": { + "node_id": "node_269", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_268", + "improvement_over_parent": null + }, + "node_270": { + "node_id": "node_270", + "content": "INITIAL DESIGN (Trace 41)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 188.44 kg\n Factor of Safety: 0.60\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.44292263195874, + "fos_buckling": 0.5967947060613955, + "fos_yielding": 1.4767813450514888, + "deflection": 0.0066298534989735975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_271": { + "node_id": "node_271", + "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 190.94 kg\n Factor of Safety: 0.60\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.93549442946005, + "fos_buckling": 0.5967947060613955, + "fos_yielding": 1.4767813450514888, + "deflection": 0.0066298534989735975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.353)" + }, + "parent_node_id": "node_270", + "improvement_over_parent": null + }, + "node_272": { + "node_id": "node_272", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 207.85 kg\n Factor of Safety: 0.84\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.8512460445522, + "fos_buckling": 0.839655587479863, + "fos_yielding": 2.2286780338032512, + "deflection": 0.005535582829491922, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004001)" + }, + "parent_node_id": "node_271", + "improvement_over_parent": null + }, + "node_273": { + "node_id": "node_273", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n Mass: 212.03 kg\n Factor of Safety: 0.90\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.03200851921804, + "fos_buckling": 0.8980616300383958, + "fos_yielding": 2.2222728326460675, + "deflection": 0.004820492882502623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002605)" + }, + "parent_node_id": "node_272", + "improvement_over_parent": null + }, + "node_274": { + "node_id": "node_274", + "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0041)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n Mass: 214.36 kg\n Factor of Safety: 0.90\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.3575363431707, + "fos_buckling": 0.8996161883508359, + "fos_yielding": 2.226119620649194, + "deflection": 0.004783982226814818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.211)" + }, + "parent_node_id": "node_273", + "improvement_over_parent": null + }, + "node_275": { + "node_id": "node_275", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 242.15 kg\n Factor of Safety: 1.01\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.1459452188491, + "fos_buckling": 1.0084778229345217, + "fos_yielding": 2.521804122870003, + "deflection": 0.004240386218155974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_274", + "improvement_over_parent": null + }, + "node_276": { + "node_id": "node_276", + "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0055)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 245.81 kg\n Factor of Safety: 1.01\n Max Deflection: 4.21e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.80750736617793, + "fos_buckling": 1.008308962295439, + "fos_yielding": 2.521381869205971, + "deflection": 0.004214860796842789, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.229)" + }, + "parent_node_id": "node_275", + "improvement_over_parent": null + }, + "node_277": { + "node_id": "node_277", + "content": "MODIFICATION: Increase 13 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0076)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0055)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 254.21 kg\n Factor of Safety: 0.87\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.2053153150679, + "fos_buckling": 0.8657419625202591, + "fos_yielding": 2.529463187250797, + "deflection": 0.004152491582445901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.629)" + }, + "parent_node_id": "node_276", + "improvement_over_parent": null + }, + "node_278": { + "node_id": "node_278", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_277", + "improvement_over_parent": null + }, + "node_279": { + "node_id": "node_279", + "content": "INITIAL DESIGN (Trace 42)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 171.88 kg\n Factor of Safety: 0.54\n Max Deflection: 3.72e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.87680385453945, + "fos_buckling": 0.544169439337604, + "fos_yielding": 1.9912801454599602, + "deflection": 3723951590575.255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_280": { + "node_id": "node_280", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 219.95 kg\n Factor of Safety: 0.15\n Max Deflection: 5.65e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.9464857172356, + "fos_buckling": 0.14588284192390957, + "fos_yielding": 0.10492214822335652, + "deflection": 56467758698988.72, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_279", + "improvement_over_parent": null + }, + "node_281": { + "node_id": "node_281", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 229.51 kg\n Factor of Safety: 0.91\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.5096266964554, + "fos_buckling": 0.9132376414806335, + "fos_yielding": 2.390560161096083, + "deflection": 0.004413616491847502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_280", + "improvement_over_parent": null + }, + "node_282": { + "node_id": "node_282", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 247.55 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.55216289920307, + "fos_buckling": 0.46907841793838223, + "fos_yielding": 2.4843562044834444, + "deflection": 0.004477936834988564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_281", + "improvement_over_parent": null + }, + "node_283": { + "node_id": "node_283", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5239162978987, + "fos_buckling": 1.5407978256887418, + "fos_yielding": 2.6492911794829137, + "deflection": 0.003960025142043413, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_282", + "improvement_over_parent": null + }, + "node_284": { + "node_id": "node_284", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_283", + "improvement_over_parent": null + }, + "node_285": { + "node_id": "node_285", + "content": "INITIAL DESIGN (Trace 43)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 140.05 kg\n Factor of Safety: 0.58\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.04508386742665, + "fos_buckling": 0.5774621561995615, + "fos_yielding": 1.4103817799535878, + "deflection": 0.007505793842449362, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_286": { + "node_id": "node_286", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 157.37 kg\n Factor of Safety: 0.64\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.3693023239792, + "fos_buckling": 0.6406737909776005, + "fos_yielding": 1.5834251778001782, + "deflection": 0.006685777092126193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_285", + "improvement_over_parent": null + }, + "node_287": { + "node_id": "node_287", + "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 158.15 kg\n Factor of Safety: 0.64\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.15421375862186, + "fos_buckling": 0.6406592815171734, + "fos_yielding": 1.5833894558143853, + "deflection": 0.0066612321333267225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.330)" + }, + "parent_node_id": "node_286", + "improvement_over_parent": null + }, + "node_288": { + "node_id": "node_288", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n Mass: 170.08 kg\n Factor of Safety: 1.08\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.0755742970975, + "fos_buckling": 1.0836491119365346, + "fos_yielding": 1.7566134579844923, + "deflection": 0.005966061659622355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002840)" + }, + "parent_node_id": "node_287", + "improvement_over_parent": null + }, + "node_289": { + "node_id": "node_289", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 202.11 kg\n Factor of Safety: 1.26\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.10646555896346, + "fos_buckling": 1.2588988390659688, + "fos_yielding": 2.0843854735812424, + "deflection": 0.005029832367182229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_288", + "improvement_over_parent": null + }, + "node_290": { + "node_id": "node_290", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.34 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.34424486279573, + "fos_buckling": 1.5398679305690304, + "fos_yielding": 2.647384199334518, + "deflection": 0.003962801549296016, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_289", + "improvement_over_parent": null + }, + "node_291": { + "node_id": "node_291", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_290", + "improvement_over_parent": null + }, + "node_292": { + "node_id": "node_292", + "content": "INITIAL DESIGN (Trace 44)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 147.07 kg\n Factor of Safety: 0.31\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.07023299072384, + "fos_buckling": 0.31337519412778503, + "fos_yielding": 0.9459525225068744, + "deflection": 0.01798393288063513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_293": { + "node_id": "node_293", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n\nPerformance:\n Mass: 159.42 kg\n Factor of Safety: 0.31\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.42137497899472, + "fos_buckling": 0.3132639725386141, + "fos_yielding": 0.9456175111144622, + "deflection": 0.017512494012971867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002857)" + }, + "parent_node_id": "node_292", + "improvement_over_parent": null + }, + "node_294": { + "node_id": "node_294", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n\nPerformance:\n Mass: 176.64 kg\n Factor of Safety: 0.34\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": 176.64061614006852, + "fos_buckling": 0.3426668523109661, + "fos_yielding": 1.046632253269396, + "deflection": 0.015821329707335286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_293", + "improvement_over_parent": null + }, + "node_295": { + "node_id": "node_295", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n Mass: 182.83 kg\n Factor of Safety: 1.03\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.83392049241766, + "fos_buckling": 1.0315244993497412, + "fos_yielding": 1.898978161481955, + "deflection": 0.005557928853494591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002807)" + }, + "parent_node_id": "node_294", + "improvement_over_parent": null + }, + "node_296": { + "node_id": "node_296", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 215.55 kg\n Factor of Safety: 1.19\n Max Deflection: 4.72e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.54541678060272, + "fos_buckling": 1.1948579158203145, + "fos_yielding": 2.2352664700153735, + "deflection": 0.00472316023722498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_295", + "improvement_over_parent": null + }, + "node_297": { + "node_id": "node_297", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 254.83 kg\n Factor of Safety: 1.38\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.833759468138, + "fos_buckling": 1.3825288608139092, + "fos_yielding": 2.6377808760935033, + "deflection": 0.004003825784480779, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_296", + "improvement_over_parent": null + }, + "node_298": { + "node_id": "node_298", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 255.99 kg\n Factor of Safety: 1.40\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.98724766435296, + "fos_buckling": 1.4011014265414052, + "fos_yielding": 2.638843046654869, + "deflection": 0.003997878161992919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.195)" + }, + "parent_node_id": "node_297", + "improvement_over_parent": null + }, + "node_299": { + "node_id": "node_299", + "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 258.65 kg\n Factor of Safety: 1.40\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.6494094936279, + "fos_buckling": 1.4015689109645129, + "fos_yielding": 2.6354658805926814, + "deflection": 0.003978543498011274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.263)" + }, + "parent_node_id": "node_298", + "improvement_over_parent": null + }, + "node_300": { + "node_id": "node_300", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_299", + "improvement_over_parent": null + }, + "node_301": { + "node_id": "node_301", + "content": "INITIAL DESIGN (Trace 45)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.14 kg\n Factor of Safety: 1.16\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.14484702679377, + "fos_buckling": 1.1629310571507534, + "fos_yielding": 2.4268507097853433, + "deflection": 0.004526086288660858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_302": { + "node_id": "node_302", + "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.63 kg\n Factor of Safety: 1.16\n Max Deflection: 4.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.6337811492161, + "fos_buckling": 1.162931057150753, + "fos_yielding": 2.4268507097853433, + "deflection": 0.004509001052468975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.176)" + }, + "parent_node_id": "node_301", + "improvement_over_parent": null + }, + "node_303": { + "node_id": "node_303", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 255.64 kg\n Factor of Safety: 1.53\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.63700775788243, + "fos_buckling": 1.5268004000350317, + "fos_yielding": 2.6404852771557534, + "deflection": 0.003945257126863469, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_302", + "improvement_over_parent": null + }, + "node_304": { + "node_id": "node_304", + "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0049)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 258.68 kg\n Factor of Safety: 1.52\n Max Deflection: 3.91e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.6821563632925, + "fos_buckling": 1.523287819378719, + "fos_yielding": 2.6518756840042634, + "deflection": 0.003909557890452671, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.348)" + }, + "parent_node_id": "node_303", + "improvement_over_parent": null + }, + "node_305": { + "node_id": "node_305", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_304", + "improvement_over_parent": null + }, + "node_306": { + "node_id": "node_306", + "content": "INITIAL DESIGN (Trace 46)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 163.39 kg\n Factor of Safety: 0.44\n Max Deflection: 9.34e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.39370402883364, + "fos_buckling": 0.4430161565119571, + "fos_yielding": 1.6794938612182022, + "deflection": 9344262344036.414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_307": { + "node_id": "node_307", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n Mass: 169.64 kg\n Factor of Safety: 0.70\n Max Deflection: 7.67e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.63873137328918, + "fos_buckling": 0.6964152266974827, + "fos_yielding": 1.3109909677850329, + "deflection": 0.007667525682007455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002832)" + }, + "parent_node_id": "node_306", + "improvement_over_parent": null + }, + "node_308": { + "node_id": "node_308", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 210.76 kg\n Factor of Safety: 0.84\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.76025737588276, + "fos_buckling": 0.8389862279114314, + "fos_yielding": 1.6264519659765029, + "deflection": 0.0061827528157003386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_307", + "improvement_over_parent": null + }, + "node_309": { + "node_id": "node_309", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n Mass: 215.00 kg\n Factor of Safety: 0.84\n Max Deflection: 4.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.99713118512008, + "fos_buckling": 0.8390891447114965, + "fos_yielding": 2.1521377529137538, + "deflection": 0.004941967621283102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002643)" + }, + "parent_node_id": "node_308", + "improvement_over_parent": null + }, + "node_310": { + "node_id": "node_310", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 239.46 kg\n Factor of Safety: 0.92\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.46488610074763, + "fos_buckling": 0.9175500284793207, + "fos_yielding": 2.394558936133199, + "deflection": 0.004442577445825102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_309", + "improvement_over_parent": null + }, + "node_311": { + "node_id": "node_311", + "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 241.11 kg\n Factor of Safety: 0.92\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.10624391480988, + "fos_buckling": 0.9175936303724053, + "fos_yielding": 2.3944461722749986, + "deflection": 0.004415128434157429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.458)" + }, + "parent_node_id": "node_310", + "improvement_over_parent": null + }, + "node_312": { + "node_id": "node_312", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 251.08 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.07799731350553, + "fos_buckling": 1.4356996685685703, + "fos_yielding": 2.7192946859027733, + "deflection": 0.003886468663127767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_311", + "improvement_over_parent": null + }, + "node_313": { + "node_id": "node_313", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.64 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.63678550165514, + "fos_buckling": 1.5413835516283287, + "fos_yielding": 2.6505220379821166, + "deflection": 0.003958200408198601, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_312", + "improvement_over_parent": null + }, + "node_314": { + "node_id": "node_314", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_313", + "improvement_over_parent": null + }, + "node_315": { + "node_id": "node_315", + "content": "INITIAL DESIGN (Trace 47)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0019)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 175.87 kg\n Factor of Safety: 0.85\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.86894795170787, + "fos_buckling": 0.8520603069900551, + "fos_yielding": 1.399306049147804, + "deflection": 0.006136225909298726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_316": { + "node_id": "node_316", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 217.08 kg\n Factor of Safety: 1.03\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.07869763142622, + "fos_buckling": 1.0343167843228869, + "fos_yielding": 1.7316463534153546, + "deflection": 0.004977831079340723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_315", + "improvement_over_parent": null + }, + "node_317": { + "node_id": "node_317", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 251.92 kg\n Factor of Safety: 1.18\n Max Deflection: 4.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.9171200905904, + "fos_buckling": 1.1832102474736605, + "fos_yielding": 2.014387005551373, + "deflection": 0.0042939571833822115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_316", + "improvement_over_parent": null + }, + "node_318": { + "node_id": "node_318", + "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.82 kg\n Factor of Safety: 1.20\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.8226239218966, + "fos_buckling": 1.2013353156723199, + "fos_yielding": 2.263309193514607, + "deflection": 0.004122360252714438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.479)" + }, + "parent_node_id": "node_317", + "improvement_over_parent": null + }, + "node_319": { + "node_id": "node_319", + "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4807145745023, + "fos_buckling": 1.5406310024229641, + "fos_yielding": 2.6489104656170985, + "deflection": 0.003960853424417513, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.488)" + }, + "parent_node_id": "node_318", + "improvement_over_parent": null + }, + "node_320": { + "node_id": "node_320", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_319", + "improvement_over_parent": null + }, + "node_321": { + "node_id": "node_321", + "content": "INITIAL DESIGN (Trace 48)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 154.34 kg\n Factor of Safety: 0.80\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.33745286381213, + "fos_buckling": 0.7953209629967392, + "fos_yielding": 1.6036118142334186, + "deflection": 0.0065762452837881576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_322": { + "node_id": "node_322", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 175.13 kg\n Factor of Safety: 0.89\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.13069155352255, + "fos_buckling": 0.894479579262877, + "fos_yielding": 1.8178712136333532, + "deflection": 0.005802331494374687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_321", + "improvement_over_parent": null + }, + "node_323": { + "node_id": "node_323", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 199.96 kg\n Factor of Safety: 1.01\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.96323400558248, + "fos_buckling": 1.0104119910775193, + "fos_yielding": 2.073199094881462, + "deflection": 0.005088961491323091, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_322", + "improvement_over_parent": null + }, + "node_324": { + "node_id": "node_324", + "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 201.07 kg\n Factor of Safety: 1.25\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.06686136630844, + "fos_buckling": 1.2533905726470804, + "fos_yielding": 2.0738126553053124, + "deflection": 0.0050554339416327716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.458)" + }, + "parent_node_id": "node_323", + "improvement_over_parent": null + }, + "node_325": { + "node_id": "node_325", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6636673574359, + "fos_buckling": 1.5414580645618956, + "fos_yielding": 2.6506944457511747, + "deflection": 0.003957883962571314, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 49)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 222.35 kg\n Factor of Safety: 0.05\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": 222.3545970770964, + "fos_buckling": 0.04530585981259428, + "fos_yielding": 0.5887252013336889, + "deflection": 0.017704532684454283, + "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 all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 244.84 kg\n Factor of Safety: 0.05\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": 244.84021312068504, + "fos_buckling": 0.04902402879700829, + "fos_yielding": 0.6475725293353799, + "deflection": 0.016098734920770557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_327", + "improvement_over_parent": null + }, + "node_329": { + "node_id": "node_329", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 254.40 kg\n Factor of Safety: 1.52\n Max Deflection: 3.99e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.40335409990485, + "fos_buckling": 1.517983237371827, + "fos_yielding": 2.652398886069087, + "deflection": 0.003985130745359949, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_328", + "improvement_over_parent": null + }, + "node_330": { + "node_id": "node_330", + "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 256.89 kg\n Factor of Safety: 1.52\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.88801811457216, + "fos_buckling": 1.5200414763559096, + "fos_yielding": 2.6410761126253575, + "deflection": 0.003958056613387631, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.203)" + }, + "parent_node_id": "node_329", + "improvement_over_parent": null + }, + "node_331": { + "node_id": "node_331", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_330", + "improvement_over_parent": null + }, + "node_332": { + "node_id": "node_332", + "content": "INITIAL DESIGN (Trace 50)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 196.96 kg\n Factor of Safety: 0.25\n Max Deflection: 9.04e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.96124880983257, + "fos_buckling": 0.24683387031592374, + "fos_yielding": 1.3102594561259218, + "deflection": 0.009036748038710893, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_333": { + "node_id": "node_333", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n\nPerformance:\n Mass: 225.71 kg\n Factor of Safety: 1.21\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.70503815262578, + "fos_buckling": 1.214559289475622, + "fos_yielding": 2.373841754869103, + "deflection": 0.004479086125870133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005262)" + }, + "parent_node_id": "node_332", + "improvement_over_parent": null + }, + "node_334": { + "node_id": "node_334", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 250.76 kg\n Factor of Safety: 1.32\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.76372732520798, + "fos_buckling": 1.324993789273547, + "fos_yielding": 2.6343755037241086, + "deflection": 0.0040372761997879555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_333", + "improvement_over_parent": null + }, + "node_335": { + "node_id": "node_335", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.41 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4063275540273, + "fos_buckling": 1.5402199872100586, + "fos_yielding": 2.6480580923637413, + "deflection": 0.003961819322198549, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_334", + "improvement_over_parent": null + }, + "node_336": { + "node_id": "node_336", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_335", + "improvement_over_parent": null + }, + "node_337": { + "node_id": "node_337", + "content": "INITIAL DESIGN (Trace 51)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0010)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0019)]\n\nPerformance:\n Mass: 126.71 kg\n Factor of Safety: 0.43\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.71286249492275, + "fos_buckling": 0.4327978366701512, + "fos_yielding": 1.4374636950939352, + "deflection": 0.008737558197487671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_338": { + "node_id": "node_338", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 161.59 kg\n Factor of Safety: 0.54\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.5916307239438, + "fos_buckling": 0.5415326312331993, + "fos_yielding": 1.829510245693191, + "deflection": 0.006864152847735414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_337", + "improvement_over_parent": null + }, + "node_339": { + "node_id": "node_339", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 0.67\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.79497578013655, + "fos_buckling": 0.6700155260468056, + "fos_yielding": 2.3129257038025894, + "deflection": 0.005428240724277401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_338", + "improvement_over_parent": null + }, + "node_340": { + "node_id": "node_340", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 233.38 kg\n Factor of Safety: 0.75\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.37738108759697, + "fos_buckling": 0.7512460880979713, + "fos_yielding": 2.631390206219413, + "deflection": 0.004770403392238869, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_339", + "improvement_over_parent": null + }, + "node_341": { + "node_id": "node_341", + "content": "MODIFICATION: Increase 19 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 238.07 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.06965962354522, + "fos_buckling": 0.926810198956081, + "fos_yielding": 2.6311198495294277, + "deflection": 0.004576542130160212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.311)" + }, + "parent_node_id": "node_340", + "improvement_over_parent": null + }, + "node_342": { + "node_id": "node_342", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 256.06 kg\n Factor of Safety: 1.23\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.0590241902051, + "fos_buckling": 1.2317501925050534, + "fos_yielding": 2.64887647825154, + "deflection": 0.0039879058599813855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_341", + "improvement_over_parent": null + }, + "node_343": { + "node_id": "node_343", + "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.56 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.55918446018256, + "fos_buckling": 1.5409901630450495, + "fos_yielding": 2.649711425674597, + "deflection": 0.003959423191246281, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.511)" + }, + "parent_node_id": "node_342", + "improvement_over_parent": null + }, + "node_344": { + "node_id": "node_344", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_343", + "improvement_over_parent": null + }, + "node_345": { + "node_id": "node_345", + "content": "INITIAL DESIGN (Trace 52)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 228.87 kg\n Factor of Safety: 0.61\n Max Deflection: 7.77e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.8660486454552, + "fos_buckling": 0.6144371295864055, + "fos_yielding": 1.957555053266053, + "deflection": 7766078518180.618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_346": { + "node_id": "node_346", + "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 232.18 kg\n Factor of Safety: 0.60\n Max Deflection: 8.76e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.1805817962887, + "fos_buckling": 0.6007174512739268, + "fos_yielding": 2.168122542626723, + "deflection": 8763318042141.81, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.447)" + }, + "parent_node_id": "node_345", + "improvement_over_parent": null + }, + "node_347": { + "node_id": "node_347", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 241.74 kg\n Factor of Safety: 1.30\n Max Deflection: 3.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.7437227755085, + "fos_buckling": 1.3049345071845342, + "fos_yielding": 2.7194293152517237, + "deflection": 0.00364490479887761, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_346", + "improvement_over_parent": null + }, + "node_348": { + "node_id": "node_348", + "content": "MODIFICATION: Increase 4 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 243.13 kg\n Factor of Safety: 1.30\n Max Deflection: 3.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.1334921512074, + "fos_buckling": 1.3048059936220386, + "fos_yielding": 2.7193211891839235, + "deflection": 0.0036578172362109014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.422)" + }, + "parent_node_id": "node_347", + "improvement_over_parent": null + }, + "node_349": { + "node_id": "node_349", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 250.97 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.97225516918687, + "fos_buckling": 1.4357207423074467, + "fos_yielding": 2.7181020502925985, + "deflection": 0.0038881549533521208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_348", + "improvement_over_parent": null + }, + "node_350": { + "node_id": "node_350", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5310433573365, + "fos_buckling": 1.5408458920293004, + "fos_yielding": 2.649361677661578, + "deflection": 0.003959919532299394, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_349", + "improvement_over_parent": null + }, + "node_351": { + "node_id": "node_351", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_350", + "improvement_over_parent": null + }, + "node_352": { + "node_id": "node_352", + "content": "INITIAL DESIGN (Trace 53)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 216.99 kg\n Factor of Safety: 0.64\n Max Deflection: 4.52e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.99208100506638, + "fos_buckling": 0.6353314379221237, + "fos_yielding": 2.058188295173361, + "deflection": 0.004517858633296502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_353": { + "node_id": "node_353", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.63 kg\n Factor of Safety: 0.71\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.6261277857568, + "fos_buckling": 0.7124694330923941, + "fos_yielding": 2.351634033828605, + "deflection": 0.003964830708773208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_352", + "improvement_over_parent": null + }, + "node_354": { + "node_id": "node_354", + "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.82 kg\n Factor of Safety: 0.73\n Max Deflection: 3.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.8247729717193, + "fos_buckling": 0.7293874973964993, + "fos_yielding": 2.5631875560011963, + "deflection": 0.003813789656590054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.351)" + }, + "parent_node_id": "node_353", + "improvement_over_parent": null + }, + "node_355": { + "node_id": "node_355", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.66353598969874, + "fos_buckling": 1.5414784278445472, + "fos_yielding": 2.650765758204056, + "deflection": 0.003957882990496646, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 54)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 124.86 kg\n Factor of Safety: 0.47\n Max Deflection: 1.96e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.8562471393803, + "fos_buckling": 0.46741459151920267, + "fos_yielding": 1.2963222880526002, + "deflection": 1963878819480.5784, + "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: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 149.10 kg\n Factor of Safety: 0.01\n Max Deflection: 2.90e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.10071083305678, + "fos_buckling": 0.014079232938369273, + "fos_yielding": 0.026242091581534416, + "deflection": 290099244767072.1, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_357", + "improvement_over_parent": null + }, + "node_359": { + "node_id": "node_359", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n\nPerformance:\n Mass: 153.22 kg\n Factor of Safety: 0.64\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.22330523572418, + "fos_buckling": 0.6373267417811674, + "fos_yielding": 1.5892099011639527, + "deflection": 0.007528864312954279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001624)" + }, + "parent_node_id": "node_358", + "improvement_over_parent": null + }, + "node_360": { + "node_id": "node_360", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n Mass: 184.03 kg\n Factor of Safety: 0.75\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.0344084807192, + "fos_buckling": 0.7493089808560293, + "fos_yielding": 1.9057850441012976, + "deflection": 0.006279308044871729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_359", + "improvement_over_parent": null + }, + "node_361": { + "node_id": "node_361", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 194.41 kg\n Factor of Safety: 1.22\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.41048190950198, + "fos_buckling": 1.2176857506344587, + "fos_yielding": 2.005852256484368, + "deflection": 0.00522647979062642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002856)" + }, + "parent_node_id": "node_360", + "improvement_over_parent": null + }, + "node_362": { + "node_id": "node_362", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 218.71 kg\n Factor of Safety: 1.35\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.70583580126538, + "fos_buckling": 1.3462251145864021, + "fos_yielding": 2.254016453762562, + "deflection": 0.004652408295824745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_361", + "improvement_over_parent": null + }, + "node_363": { + "node_id": "node_363", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.73 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7289389815486, + "fos_buckling": 1.5418079819129777, + "fos_yielding": 2.65146518284198, + "deflection": 0.003956870025666281, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_362", + "improvement_over_parent": null + }, + "node_364": { + "node_id": "node_364", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_363", + "improvement_over_parent": null + }, + "node_365": { + "node_id": "node_365", + "content": "INITIAL DESIGN (Trace 55)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 141.60 kg\n Factor of Safety: 0.77\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.60120635788894, + "fos_buckling": 0.7714047626188295, + "fos_yielding": 1.2924231558032315, + "deflection": 0.0072839940045484955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_366": { + "node_id": "node_366", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 179.17 kg\n Factor of Safety: 0.96\n Max Deflection: 5.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.16836234226804, + "fos_buckling": 0.9587143381033292, + "fos_yielding": 1.636475590503139, + "deflection": 0.005767274844259109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_365", + "improvement_over_parent": null + }, + "node_367": { + "node_id": "node_367", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 222.07 kg\n Factor of Safety: 1.16\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.06801307036628, + "fos_buckling": 1.1637061826590074, + "fos_yielding": 2.030328400447998, + "deflection": 0.004662774789906204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_366", + "improvement_over_parent": null + }, + "node_368": { + "node_id": "node_368", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.64 kg\n Factor of Safety: 1.30\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.63913106314317, + "fos_buckling": 1.303984425954704, + "fos_yielding": 2.3117700952332902, + "deflection": 0.0041045276876043755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_367", + "improvement_over_parent": null + }, + "node_369": { + "node_id": "node_369", + "content": "MODIFICATION: Increase 15 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.84 kg\n Factor of Safety: 1.34\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.8389814197031, + "fos_buckling": 1.3433995118098156, + "fos_yielding": 2.33245248400277, + "deflection": 0.004050568648400127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.333)" + }, + "parent_node_id": "node_368", + "improvement_over_parent": null + }, + "node_370": { + "node_id": "node_370", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6648364406793, + "fos_buckling": 1.541541971529339, + "fos_yielding": 2.650909881842893, + "deflection": 0.003957917169979108, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.259)" + }, + "parent_node_id": "node_369", + "improvement_over_parent": null + }, + "node_371": { + "node_id": "node_371", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_370", + "improvement_over_parent": null + }, + "node_372": { + "node_id": "node_372", + "content": "INITIAL DESIGN (Trace 56)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 138.64 kg\n Factor of Safety: 0.30\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": 138.64077620372674, + "fos_buckling": 0.30294984361396005, + "fos_yielding": 0.9947442656081782, + "deflection": 0.01853858749955912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_373": { + "node_id": "node_373", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n\nPerformance:\n Mass: 141.76 kg\n Factor of Safety: 0.30\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": 141.75731624349984, + "fos_buckling": 0.3029226977356499, + "fos_yielding": 0.9946552266152253, + "deflection": 0.01801086140284844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001840)" + }, + "parent_node_id": "node_372", + "improvement_over_parent": null + }, + "node_374": { + "node_id": "node_374", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 184.09 kg\n Factor of Safety: 0.38\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": 184.09253790923458, + "fos_buckling": 0.3801701568615319, + "fos_yielding": 1.2883597448575732, + "deflection": 0.01390860058395704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_373", + "improvement_over_parent": null + }, + "node_375": { + "node_id": "node_375", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n Mass: 191.08 kg\n Factor of Safety: 0.56\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.08174685452363, + "fos_buckling": 0.5649795134163841, + "fos_yielding": 2.002532958274679, + "deflection": 0.006279115950669037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003195)" + }, + "parent_node_id": "node_374", + "improvement_over_parent": null + }, + "node_376": { + "node_id": "node_376", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 236.16 kg\n Factor of Safety: 0.67\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.15800814154673, + "fos_buckling": 0.6721825491148168, + "fos_yielding": 2.46622096810578, + "deflection": 0.005095588505774002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_375", + "improvement_over_parent": null + }, + "node_377": { + "node_id": "node_377", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.41 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4131342234389, + "fos_buckling": 1.54018262147716, + "fos_yielding": 2.6479706140366694, + "deflection": 0.003961576546514992, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_376", + "improvement_over_parent": null + }, + "node_378": { + "node_id": "node_378", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_377", + "improvement_over_parent": null + }, + "node_379": { + "node_id": "node_379", + "content": "INITIAL DESIGN (Trace 57)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 164.85 kg\n Factor of Safety: 0.49\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.85274042150246, + "fos_buckling": 0.4878137347692238, + "fos_yielding": 1.6487777767024492, + "deflection": 0.007225064533950925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_380": { + "node_id": "node_380", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 184.21 kg\n Factor of Safety: 0.54\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.21080953570538, + "fos_buckling": 0.5381007112585765, + "fos_yielding": 1.840152885969256, + "deflection": 0.006471951730883958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_379", + "improvement_over_parent": null + }, + "node_381": { + "node_id": "node_381", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 201.13 kg\n Factor of Safety: 1.04\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.12641738269994, + "fos_buckling": 1.041162015008074, + "fos_yielding": 2.1318657481907057, + "deflection": 0.0050472762529799224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003790)" + }, + "parent_node_id": "node_380", + "improvement_over_parent": null + }, + "node_382": { + "node_id": "node_382", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 249.43 kg\n Factor of Safety: 1.26\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.42995702637242, + "fos_buckling": 1.261804364284866, + "fos_yielding": 2.636926062371155, + "deflection": 0.004080893503701221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_381", + "improvement_over_parent": null + }, + "node_383": { + "node_id": "node_383", + "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.63 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6295215459997, + "fos_buckling": 1.540608997983583, + "fos_yielding": 2.650570580851642, + "deflection": 0.003958319032074908, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.379)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 58)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 181.70 kg\n Factor of Safety: 0.73\n Max Deflection: 5.76e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.70100454267282, + "fos_buckling": 0.7338837338071118, + "fos_yielding": 2.2435114957770534, + "deflection": 5764169826666.186, + "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: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 202.96 kg\n Factor of Safety: 0.71\n Max Deflection: 1.47e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.95613062456496, + "fos_buckling": 0.707325308934532, + "fos_yielding": 1.3746489291844388, + "deflection": 1466569430374.6555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_385", + "improvement_over_parent": null + }, + "node_387": { + "node_id": "node_387", + "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 204.72 kg\n Factor of Safety: 0.69\n Max Deflection: 2.30e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.72141426435016, + "fos_buckling": 0.6918880131788913, + "fos_yielding": 2.2958778628465986, + "deflection": 2303619414708.9287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.294)" + }, + "parent_node_id": "node_386", + "improvement_over_parent": null + }, + "node_388": { + "node_id": "node_388", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 218.47 kg\n Factor of Safety: 0.13\n Max Deflection: 6.66e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.47088273053757, + "fos_buckling": 0.1315818947154869, + "fos_yielding": 0.49330718734305234, + "deflection": 6661317459235.097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_387", + "improvement_over_parent": null + }, + "node_389": { + "node_id": "node_389", + "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 220.88 kg\n Factor of Safety: 0.84\n Max Deflection: 2.69e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.88093421625692, + "fos_buckling": 0.8374437659238579, + "fos_yielding": 3.510332533509197, + "deflection": 2693069503623.528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.397)" + }, + "parent_node_id": "node_388", + "improvement_over_parent": null + }, + "node_390": { + "node_id": "node_390", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 238.92 kg\n Factor of Safety: 0.36\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.9234704190046, + "fos_buckling": 0.36372258200315105, + "fos_yielding": 1.161252491131646, + "deflection": 0.020712736190176696, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_389", + "improvement_over_parent": null + }, + "node_391": { + "node_id": "node_391", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 247.56 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.56033394665815, + "fos_buckling": 0.4690988812753741, + "fos_yielding": 2.484422616857805, + "deflection": 0.004477763689278879, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_390", + "improvement_over_parent": null + }, + "node_392": { + "node_id": "node_392", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5320873453538, + "fos_buckling": 1.540823125071207, + "fos_yielding": 2.6493625130824863, + "deflection": 0.00395986868459601, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_391", + "improvement_over_parent": null + }, + "node_393": { + "node_id": "node_393", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_392", + "improvement_over_parent": null + }, + "node_394": { + "node_id": "node_394", + "content": "INITIAL DESIGN (Trace 59)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 226.82 kg\n Factor of Safety: 0.61\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.81594857936264, + "fos_buckling": 0.6129875803692847, + "fos_yielding": 2.111343931393025, + "deflection": 0.005297570810565293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_395": { + "node_id": "node_395", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 236.79 kg\n Factor of Safety: 1.16\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.7877019780583, + "fos_buckling": 1.163590913137916, + "fos_yielding": 2.428227723462085, + "deflection": 0.004586638614648162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_394", + "improvement_over_parent": null + }, + "node_396": { + "node_id": "node_396", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 255.88 kg\n Factor of Safety: 1.52\n Max Deflection: 4.07e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.87744575286575, + "fos_buckling": 1.5232168377769961, + "fos_yielding": 2.499633468732865, + "deflection": 0.004065357597437725, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_395", + "improvement_over_parent": null + }, + "node_397": { + "node_id": "node_397", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5323194787102, + "fos_buckling": 1.5408373686582322, + "fos_yielding": 2.649363318519099, + "deflection": 0.003959832538446902, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.245)" + }, + "parent_node_id": "node_396", + "improvement_over_parent": null + }, + "node_398": { + "node_id": "node_398", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_397", + "improvement_over_parent": null + }, + "node_399": { + "node_id": "node_399", + "content": "INITIAL DESIGN (Trace 60)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\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_400": { + "node_id": "node_400", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n\nPerformance:\n Mass: 209.62 kg\n Factor of Safety: 1.05\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.62027049843016, + "fos_buckling": 1.0531716674210954, + "fos_yielding": 2.1534504446088993, + "deflection": 0.005048747153500624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001670)" + }, + "parent_node_id": "node_399", + "improvement_over_parent": null + }, + "node_401": { + "node_id": "node_401", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 226.53 kg\n Factor of Safety: 1.12\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.5282321636092, + "fos_buckling": 1.123324874274313, + "fos_yielding": 2.3550263165033827, + "deflection": 0.004497589152865576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003999)" + }, + "parent_node_id": "node_400", + "improvement_over_parent": null + }, + "node_402": { + "node_id": "node_402", + "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0060)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 231.01 kg\n Factor of Safety: 1.14\n Max Deflection: 4.34e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.00592643578537, + "fos_buckling": 1.1381741619373789, + "fos_yielding": 2.380835259221934, + "deflection": 0.00434088104011291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.605)" + }, + "parent_node_id": "node_401", + "improvement_over_parent": null + }, + "node_403": { + "node_id": "node_403", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0068)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 260.76 kg\n Factor of Safety: 1.27\n Max Deflection: 3.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.760137594854, + "fos_buckling": 1.271217537648691, + "fos_yielding": 2.6842972736750883, + "deflection": 0.003852541324130186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_402", + "improvement_over_parent": null + }, + "node_404": { + "node_id": "node_404", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_403", + "improvement_over_parent": null + }, + "node_405": { + "node_id": "node_405", + "content": "INITIAL DESIGN (Trace 61)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 152.99 kg\n Factor of Safety: 0.17\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": 152.98732888192458, + "fos_buckling": 0.1654778042575279, + "fos_yielding": 0.9473282782311919, + "deflection": 0.01155013664633967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_406": { + "node_id": "node_406", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 190.47 kg\n Factor of Safety: 0.20\n Max Deflection: 9.30e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.472793867502, + "fos_buckling": 0.19875236347769662, + "fos_yielding": 1.1781724173878534, + "deflection": 0.00929788325930713, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_405", + "improvement_over_parent": null + }, + "node_407": { + "node_id": "node_407", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 211.73 kg\n Factor of Safety: 0.20\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.72791994939413, + "fos_buckling": 0.1986853213305622, + "fos_yielding": 1.177775002196536, + "deflection": 0.008261154297573129, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_406", + "improvement_over_parent": null + }, + "node_408": { + "node_id": "node_408", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 243.68 kg\n Factor of Safety: 0.95\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.67786232313165, + "fos_buckling": 0.9508651091957995, + "fos_yielding": 2.515468403998846, + "deflection": 0.00475849792595411, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_407", + "improvement_over_parent": null + }, + "node_409": { + "node_id": "node_409", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.43 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.42733078931906, + "fos_buckling": 1.5406979696645384, + "fos_yielding": 2.6479066105902347, + "deflection": 0.003961599372172346, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_408", + "improvement_over_parent": null + }, + "node_410": { + "node_id": "node_410", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_409", + "improvement_over_parent": null + }, + "node_411": { + "node_id": "node_411", + "content": "INITIAL DESIGN (Trace 62)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0017)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0015)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0023)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n\nPerformance:\n Mass: 95.78 kg\n Factor of Safety: 0.32\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": 95.77645960289061, + "fos_buckling": 0.31504507299483314, + "fos_yielding": 0.7250728510568727, + "deflection": 0.013619577517578968, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_412": { + "node_id": "node_412", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n\nPerformance:\n Mass: 115.79 kg\n Factor of Safety: 0.37\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": 115.79299813924109, + "fos_buckling": 0.37469986760796087, + "fos_yielding": 0.8777449550783502, + "deflection": 0.01127841888482705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_411", + "improvement_over_parent": null + }, + "node_413": { + "node_id": "node_413", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n\nPerformance:\n Mass: 118.32 kg\n Factor of Safety: 0.37\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.3240017764088, + "fos_buckling": 0.37467270166617933, + "fos_yielding": 1.189707114577041, + "deflection": 0.010120252360078914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001479)" + }, + "parent_node_id": "node_412", + "improvement_over_parent": null + }, + "node_414": { + "node_id": "node_414", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n Mass: 150.13 kg\n Factor of Safety: 0.46\n Max Deflection: 7.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.1315847972611, + "fos_buckling": 0.46323843105383417, + "fos_yielding": 1.5123760922112859, + "deflection": 0.007992285793982656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_413", + "improvement_over_parent": null + }, + "node_415": { + "node_id": "node_415", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n\nPerformance:\n Mass: 180.57 kg\n Factor of Safety: 0.54\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.56523332578163, + "fos_buckling": 0.5432431545027836, + "fos_yielding": 1.8225134164753607, + "deflection": 0.006658051566848902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_414", + "improvement_over_parent": null + }, + "node_416": { + "node_id": "node_416", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 196.97 kg\n Factor of Safety: 1.25\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.96782257307908, + "fos_buckling": 1.2464184939442375, + "fos_yielding": 1.8295978401764057, + "deflection": 0.005195007605762743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003637)" + }, + "parent_node_id": "node_415", + "improvement_over_parent": null + }, + "node_417": { + "node_id": "node_417", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.33 kg\n Factor of Safety: 1.57\n Max Deflection: 4.02e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.3280700187411, + "fos_buckling": 1.5736526498802714, + "fos_yielding": 2.3806884982225696, + "deflection": 0.004020217851369292, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_416", + "improvement_over_parent": null + }, + "node_418": { + "node_id": "node_418", + "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6635031844937, + "fos_buckling": 1.541424665252739, + "fos_yielding": 2.650772037587001, + "deflection": 0.003957829743174606, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.425)" + }, + "parent_node_id": "node_417", + "improvement_over_parent": null + }, + "node_419": { + "node_id": "node_419", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_418", + "improvement_over_parent": null + }, + "node_420": { + "node_id": "node_420", + "content": "INITIAL DESIGN (Trace 63)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 237.86 kg\n Factor of Safety: 1.04\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.86246541704546, + "fos_buckling": 1.0356819863486475, + "fos_yielding": 2.4290063448903654, + "deflection": 0.005027192543894487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_421": { + "node_id": "node_421", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 242.87 kg\n Factor of Safety: 0.87\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.86569202571178, + "fos_buckling": 0.8675392719733062, + "fos_yielding": 2.5859816407031118, + "deflection": 0.003889395542269877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_420", + "improvement_over_parent": null + }, + "node_422": { + "node_id": "node_422", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 250.70 kg\n Factor of Safety: 1.48\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.70445504369124, + "fos_buckling": 1.481323479999111, + "fos_yielding": 2.6616272938521885, + "deflection": 0.004023920537857997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_421", + "improvement_over_parent": null + }, + "node_423": { + "node_id": "node_423", + "content": "MODIFICATION: Increase 14 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0043)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 254.12 kg\n Factor of Safety: 1.48\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.1201853254615, + "fos_buckling": 1.4828087716026033, + "fos_yielding": 2.650636852396994, + "deflection": 0.004036199889512885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.610)" + }, + "parent_node_id": "node_422", + "improvement_over_parent": null + }, + "node_424": { + "node_id": "node_424", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_423", + "improvement_over_parent": null + }, + "node_425": { + "node_id": "node_425", + "content": "INITIAL DESIGN (Trace 64)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 195.67 kg\n Factor of Safety: 0.84\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.6728594120258, + "fos_buckling": 0.8413997647897762, + "fos_yielding": 2.1581889805087826, + "deflection": 0.005744487030442412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_426": { + "node_id": "node_426", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 211.64 kg\n Factor of Safety: 1.05\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.6415582057475, + "fos_buckling": 1.0548853398903144, + "fos_yielding": 2.15764392137382, + "deflection": 0.005038796128315615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003891)" + }, + "parent_node_id": "node_425", + "improvement_over_parent": null + }, + "node_427": { + "node_id": "node_427", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 228.58 kg\n Factor of Safety: 1.40\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.58456940095522, + "fos_buckling": 1.3969837231077318, + "fos_yielding": 2.3546888215317616, + "deflection": 0.004453912512838067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004008)" + }, + "parent_node_id": "node_426", + "improvement_over_parent": null + }, + "node_428": { + "node_id": "node_428", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.50 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.50143176258007, + "fos_buckling": 1.5406865575483495, + "fos_yielding": 2.649067434773882, + "deflection": 0.0039603404752523216, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_427", + "improvement_over_parent": null + }, + "node_429": { + "node_id": "node_429", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_428", + "improvement_over_parent": null + }, + "node_430": { + "node_id": "node_430", + "content": "INITIAL DESIGN (Trace 65)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.52 kg\n Factor of Safety: 1.48\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.5231389267274, + "fos_buckling": 1.4831662373762515, + "fos_yielding": 2.661082758113281, + "deflection": 0.004022066230837868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_431": { + "node_id": "node_431", + "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.16 kg\n Factor of Safety: 1.50\n Max Deflection: 4.00e-03 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.16477339071176, + "fos_buckling": 1.5041832342485026, + "fos_yielding": 2.656154724054259, + "deflection": 0.003996888378304089, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.259)" + }, + "parent_node_id": "node_430", + "improvement_over_parent": null + }, + "node_432": { + "node_id": "node_432", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.13 kg\n Factor of Safety: 1.47\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.13448401430261, + "fos_buckling": 1.4663164452454631, + "fos_yielding": 2.653800408777983, + "deflection": 0.0039844738160018794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.264)" + }, + "parent_node_id": "node_431", + "improvement_over_parent": null + }, + "node_433": { + "node_id": "node_433", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.51975282926605, + "fos_buckling": 1.540751836093079, + "fos_yielding": 2.6493820543617184, + "deflection": 0.003959976331453715, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.289)" + }, + "parent_node_id": "node_432", + "improvement_over_parent": null + }, + "node_434": { + "node_id": "node_434", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_433", + "improvement_over_parent": null + }, + "node_435": { + "node_id": "node_435", + "content": "INITIAL DESIGN (Trace 66)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 150.23 kg\n Factor of Safety: 0.63\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.2254691247639, + "fos_buckling": 0.6261404379036777, + "fos_yielding": 1.5583513901051447, + "deflection": 0.007677765821092317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_436": { + "node_id": "node_436", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 168.46 kg\n Factor of Safety: 0.69\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.46451284523565, + "fos_buckling": 0.6933969883169762, + "fos_yielding": 1.7459291684272535, + "deflection": 0.006853589496841501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_435", + "improvement_over_parent": null + }, + "node_437": { + "node_id": "node_437", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 210.83 kg\n Factor of Safety: 0.84\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.83477899443497, + "fos_buckling": 0.8423011286450118, + "fos_yielding": 2.180340019356518, + "deflection": 0.005489381540438291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_436", + "improvement_over_parent": null + }, + "node_438": { + "node_id": "node_438", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 222.73 kg\n Factor of Safety: 1.37\n Max Deflection: 4.57e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.72521124401635, + "fos_buckling": 1.3669734399168187, + "fos_yielding": 2.294961225941126, + "deflection": 0.0045695320346336825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003307)" + }, + "parent_node_id": "node_437", + "improvement_over_parent": null + }, + "node_439": { + "node_id": "node_439", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.59614006037765, + "fos_buckling": 1.5411488070266124, + "fos_yielding": 2.6500492444255785, + "deflection": 0.003958899391248173, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_438", + "improvement_over_parent": null + }, + "node_440": { + "node_id": "node_440", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_439", + "improvement_over_parent": null + }, + "node_441": { + "node_id": "node_441", + "content": "INITIAL DESIGN (Trace 67)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 191.36 kg\n Factor of Safety: 0.97\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.35844373803175, + "fos_buckling": 0.9732270170071003, + "fos_yielding": 2.0246496825999496, + "deflection": 0.005510236941138593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_442": { + "node_id": "node_442", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 207.24 kg\n Factor of Safety: 1.02\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.2441025947197, + "fos_buckling": 1.017427881417146, + "fos_yielding": 2.1961988459018174, + "deflection": 0.004875214060430728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003738)" + }, + "parent_node_id": "node_441", + "improvement_over_parent": null + }, + "node_443": { + "node_id": "node_443", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 248.98 kg\n Factor of Safety: 1.19\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.9786450140362, + "fos_buckling": 1.1914086341307097, + "fos_yielding": 2.633128248229251, + "deflection": 0.004067715166646787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_442", + "improvement_over_parent": null + }, + "node_444": { + "node_id": "node_444", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n\nPerformance:\n Mass: 253.68 kg\n Factor of Safety: 1.38\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.6832145237632, + "fos_buckling": 1.3827306871487628, + "fos_yielding": 2.645933652490979, + "deflection": 0.003994597343139563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002058)" + }, + "parent_node_id": "node_443", + "improvement_over_parent": null + }, + "node_445": { + "node_id": "node_445", + "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n\nPerformance:\n Mass: 257.29 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.2897632424468, + "fos_buckling": 1.540941851502289, + "fos_yielding": 2.6473893890640507, + "deflection": 0.003955489871534597, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.451)" + }, + "parent_node_id": "node_444", + "improvement_over_parent": null + }, + "node_446": { + "node_id": "node_446", + "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0072)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n\nPerformance:\n Mass: 263.73 kg\n Factor of Safety: 1.54\n Max Deflection: 3.89e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 263.7318628636042, + "fos_buckling": 1.5437930208246073, + "fos_yielding": 2.6543827575251364, + "deflection": 0.00389135719886436, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.227)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 68)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 215.38 kg\n Factor of Safety: 0.68\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.38048400762875, + "fos_buckling": 0.6755436588554189, + "fos_yielding": 2.3287333049567565, + "deflection": 0.0054211843188068385, + "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: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n Mass: 219.54 kg\n Factor of Safety: 1.21\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.54497756572712, + "fos_buckling": 1.2092159946916974, + "fos_yielding": 2.345165480155702, + "deflection": 0.004590472218241061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002594)" + }, + "parent_node_id": "node_448", + "improvement_over_parent": null + }, + "node_450": { + "node_id": "node_450", + "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0046)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n Mass: 222.19 kg\n Factor of Safety: 1.20\n Max Deflection: 4.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.18903359923044, + "fos_buckling": 1.200444404306071, + "fos_yielding": 2.3425839800659713, + "deflection": 0.004569794662225358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.183)" + }, + "parent_node_id": "node_449", + "improvement_over_parent": null + }, + "node_451": { + "node_id": "node_451", + "content": "MODIFICATION: Increase 20 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0046)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0034)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 1.22\n Max Deflection: 4.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.32920827066067, + "fos_buckling": 1.2208005706999165, + "fos_yielding": 2.3428952881869685, + "deflection": 0.004552352198755475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.305)" + }, + "parent_node_id": "node_450", + "improvement_over_parent": null + }, + "node_452": { + "node_id": "node_452", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0052)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0039)]\n\nPerformance:\n Mass: 252.83 kg\n Factor of Safety: 1.36\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.8258735757137, + "fos_buckling": 1.3593785188932277, + "fos_yielding": 2.6484952858978486, + "deflection": 0.00402775093330885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_451", + "improvement_over_parent": null + }, + "node_453": { + "node_id": "node_453", + "content": "MODIFICATION: Increase 18 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0052)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0053)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0039)]\n\nPerformance:\n Mass: 255.97 kg\n Factor of Safety: 1.40\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.9665796102889, + "fos_buckling": 1.3986283223100686, + "fos_yielding": 2.648994440379876, + "deflection": 0.00400241565412338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.196)" + }, + "parent_node_id": "node_452", + "improvement_over_parent": null + }, + "node_454": { + "node_id": "node_454", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_453", + "improvement_over_parent": null + }, + "node_455": { + "node_id": "node_455", + "content": "INITIAL DESIGN (Trace 69)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 184.07 kg\n Factor of Safety: 0.24\n Max Deflection: 4.70e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.07392708746642, + "fos_buckling": 0.24018924664202515, + "fos_yielding": 2.1447845488756476, + "deflection": 4702579702464.406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_456": { + "node_id": "node_456", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 198.74 kg\n Factor of Safety: 0.38\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": 198.73505336867535, + "fos_buckling": 0.3816546295593679, + "fos_yielding": 1.2026064622905446, + "deflection": 0.014224018816832286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003542)" + }, + "parent_node_id": "node_455", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 219.62 kg\n Factor of Safety: 0.41\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": 219.62014526656318, + "fos_buckling": 0.41499689632759285, + "fos_yielding": 1.3270453129775435, + "deflection": 0.012885396889694584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_456", + "improvement_over_parent": null + }, + "node_458": { + "node_id": "node_458", + "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 221.99 kg\n Factor of Safety: 0.41\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": 221.99209366731645, + "fos_buckling": 0.41491230892548175, + "fos_yielding": 1.3267756285103474, + "deflection": 0.012629241505744822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.414)" + }, + "parent_node_id": "node_457", + "improvement_over_parent": null + }, + "node_459": { + "node_id": "node_459", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 247.26 kg\n Factor of Safety: 0.45\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": 247.25955647777258, + "fos_buckling": 0.4531664388797267, + "fos_yielding": 1.475298243950156, + "deflection": 0.011355214755874705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_458", + "improvement_over_parent": null + }, + "node_460": { + "node_id": "node_460", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 255.90 kg\n Factor of Safety: 1.45\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.89642000542614, + "fos_buckling": 1.4528144551008646, + "fos_yielding": 2.640365829500791, + "deflection": 0.003986691596629484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_459", + "improvement_over_parent": null + }, + "node_461": { + "node_id": "node_461", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.17 kg\n Factor of Safety: 1.48\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.16681364632194, + "fos_buckling": 1.476296276973074, + "fos_yielding": 2.6414802844912955, + "deflection": 0.0039806469944904345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.215)" + }, + "parent_node_id": "node_460", + "improvement_over_parent": null + }, + "node_462": { + "node_id": "node_462", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_461", + "improvement_over_parent": null + }, + "node_463": { + "node_id": "node_463", + "content": "INITIAL DESIGN (Trace 70)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 241.23 kg\n Factor of Safety: 0.50\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.23155483990897, + "fos_buckling": 0.4957266728053021, + "fos_yielding": 2.497085957037467, + "deflection": 0.004500222801688024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_464": { + "node_id": "node_464", + "content": "MODIFICATION: Increase 16 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.19 kg\n Factor of Safety: 0.47\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.1906004745218, + "fos_buckling": 0.4747066165194025, + "fos_yielding": 2.4870537046471832, + "deflection": 0.004504156829188686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.416)" + }, + "parent_node_id": "node_463", + "improvement_over_parent": null + }, + "node_465": { + "node_id": "node_465", + "content": "MODIFICATION: Increase 4 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.55 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.55113664087676, + "fos_buckling": 0.46911997101108444, + "fos_yielding": 2.4844335873513916, + "deflection": 0.004477837202833289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.410)" + }, + "parent_node_id": "node_464", + "improvement_over_parent": null + }, + "node_466": { + "node_id": "node_466", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5228900395724, + "fos_buckling": 1.540799013116827, + "fos_yielding": 2.649373773011499, + "deflection": 0.003959964917831343, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_465", + "improvement_over_parent": null + }, + "node_467": { + "node_id": "node_467", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_466", + "improvement_over_parent": null + }, + "node_468": { + "node_id": "node_468", + "content": "INITIAL DESIGN (Trace 71)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 198.66 kg\n Factor of Safety: 0.61\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.66262107562454, + "fos_buckling": 0.6077002453791727, + "fos_yielding": 2.1429201249152765, + "deflection": 0.006637973762353355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_469": { + "node_id": "node_469", + "content": "MODIFICATION: Increase 18 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 202.43 kg\n Factor of Safety: 0.61\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.42520110694448, + "fos_buckling": 0.6072454953390631, + "fos_yielding": 2.1427926201507765, + "deflection": 0.006353552865982505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.337)" + }, + "parent_node_id": "node_468", + "improvement_over_parent": null + }, + "node_470": { + "node_id": "node_470", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n\nPerformance:\n Mass: 206.84 kg\n Factor of Safety: 0.61\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.8369593259018, + "fos_buckling": 0.6071693889495471, + "fos_yielding": 2.180364597891845, + "deflection": 0.005759463565272876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002668)" + }, + "parent_node_id": "node_469", + "improvement_over_parent": null + }, + "node_471": { + "node_id": "node_471", + "content": "MODIFICATION: Increase 16 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0053)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n\nPerformance:\n Mass: 212.01 kg\n Factor of Safety: 0.61\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.0081655485408, + "fos_buckling": 0.6067237347938299, + "fos_yielding": 2.1787588558466116, + "deflection": 0.005750444308344929, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.364)" + }, + "parent_node_id": "node_470", + "improvement_over_parent": null + }, + "node_472": { + "node_id": "node_472", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 240.47 kg\n Factor of Safety: 0.67\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.46783903279902, + "fos_buckling": 0.6721941909192842, + "fos_yielding": 2.466649279597129, + "deflection": 0.005077690723828668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_471", + "improvement_over_parent": null + }, + "node_473": { + "node_id": "node_473", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 261.72 kg\n Factor of Safety: 1.48\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.7229651146912, + "fos_buckling": 1.4780252967565524, + "fos_yielding": 2.654401423207834, + "deflection": 0.003919412945507456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_472", + "improvement_over_parent": null + }, + "node_474": { + "node_id": "node_474", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_473", + "improvement_over_parent": null + }, + "node_475": { + "node_id": "node_475", + "content": "INITIAL DESIGN (Trace 72)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 192.68 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": 192.68243188453863, + "fos_buckling": 0.3903706220578694, + "fos_yielding": 0.751356109550997, + "deflection": 0.01598850279976192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_476": { + "node_id": "node_476", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 199.89 kg\n Factor of Safety: 0.80\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.89058121574033, + "fos_buckling": 0.7988770252630502, + "fos_yielding": 2.199380229800416, + "deflection": 0.005472133310789389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003303)" + }, + "parent_node_id": "node_475", + "improvement_over_parent": null + }, + "node_477": { + "node_id": "node_477", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 239.57 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.5681390426243, + "fos_buckling": 0.9267982576898471, + "fos_yielding": 2.630987395872718, + "deflection": 0.004576698768375434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_476", + "improvement_over_parent": null + }, + "node_478": { + "node_id": "node_478", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.56 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5575036092842, + "fos_buckling": 1.54096988198046, + "fos_yielding": 2.6496633315578677, + "deflection": 0.0039594313576073415, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 73)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 164.08 kg\n Factor of Safety: 0.03\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": 164.0816468723916, + "fos_buckling": 0.03455252435964874, + "fos_yielding": 0.430216332080474, + "deflection": 0.024076639851160327, + "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: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 199.65 kg\n Factor of Safety: 0.04\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": 199.653522392207, + "fos_buckling": 0.04095616725759715, + "fos_yielding": 0.5226926506922985, + "deflection": 0.019824619114648986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_480", + "improvement_over_parent": null + }, + "node_482": { + "node_id": "node_482", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n Mass: 207.35 kg\n Factor of Safety: 1.29\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.35202156040705, + "fos_buckling": 1.2868022398310561, + "fos_yielding": 2.138050647479905, + "deflection": 0.00490405680615922, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003343)" + }, + "parent_node_id": "node_481", + "improvement_over_parent": null + }, + "node_483": { + "node_id": "node_483", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.58622568954036, + "fos_buckling": 1.5411160648810824, + "fos_yielding": 2.6499399462038973, + "deflection": 0.0039591205836984975, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 74)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 173.83 kg\n Factor of Safety: 0.89\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.82789500604056, + "fos_buckling": 0.8860844040341891, + "fos_yielding": 1.7612443762710142, + "deflection": 0.006327227571329292, + "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 18 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 177.91 kg\n Factor of Safety: 0.89\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.90722543174851, + "fos_buckling": 0.8860271450897574, + "fos_yielding": 1.76113056432103, + "deflection": 0.006220552862835601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.385)" + }, + "parent_node_id": "node_485", + "improvement_over_parent": null + }, + "node_487": { + "node_id": "node_487", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 198.09 kg\n Factor of Safety: 0.97\n Max Deflection: 5.59e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.09333748772735, + "fos_buckling": 0.9718104222361954, + "fos_yielding": 1.9592581405776834, + "deflection": 0.0055938242030366256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_486", + "improvement_over_parent": null + }, + "node_488": { + "node_id": "node_488", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 245.73 kg\n Factor of Safety: 1.16\n Max Deflection: 4.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.72962696813954, + "fos_buckling": 1.1624551493496846, + "fos_yielding": 2.4254529721172546, + "deflection": 0.0045230427669138715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_487", + "improvement_over_parent": null + }, + "node_489": { + "node_id": "node_489", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 252.29 kg\n Factor of Safety: 1.16\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.28841515628915, + "fos_buckling": 1.161853335483628, + "fos_yielding": 2.424197292505962, + "deflection": 0.004486462414495772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_488", + "improvement_over_parent": null + }, + "node_490": { + "node_id": "node_490", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.29 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.2916417649555, + "fos_buckling": 1.5397241556900294, + "fos_yielding": 2.6469134848407836, + "deflection": 0.0039635936278973796, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_489", + "improvement_over_parent": null + }, + "node_491": { + "node_id": "node_491", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_490", + "improvement_over_parent": null + }, + "node_492": { + "node_id": "node_492", + "content": "INITIAL DESIGN (Trace 75)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 238.92 kg\n Factor of Safety: 1.13\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.9235325620409, + "fos_buckling": 1.1331590617739704, + "fos_yielding": 2.7190385447113212, + "deflection": 0.00406145365455864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_493": { + "node_id": "node_493", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 245.48 kg\n Factor of Safety: 1.13\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.4823207501905, + "fos_buckling": 1.1281172906561745, + "fos_yielding": 2.651661465463175, + "deflection": 0.004132103817101559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_492", + "improvement_over_parent": null + }, + "node_494": { + "node_id": "node_494", + "content": "MODIFICATION: Increase 20 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0044)]\n\nPerformance:\n Mass: 249.08 kg\n Factor of Safety: 1.13\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.08022821778098, + "fos_buckling": 1.126880714124281, + "fos_yielding": 2.638190136655797, + "deflection": 0.004146873993549554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.645)" + }, + "parent_node_id": "node_493", + "improvement_over_parent": null + }, + "node_495": { + "node_id": "node_495", + "content": "MODIFICATION: Increase 19 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0044)]\n\nPerformance:\n Mass: 253.21 kg\n Factor of Safety: 1.34\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.20760915182353, + "fos_buckling": 1.3356499319520592, + "fos_yielding": 2.6358550065997877, + "deflection": 0.004066538248170794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.332)" + }, + "parent_node_id": "node_494", + "improvement_over_parent": null + }, + "node_496": { + "node_id": "node_496", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_495", + "improvement_over_parent": null + }, + "node_497": { + "node_id": "node_497", + "content": "INITIAL DESIGN (Trace 76)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\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_498": { + "node_id": "node_498", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 211.55 kg\n Factor of Safety: 1.06\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.55444290558628, + "fos_buckling": 1.0556607976764543, + "fos_yielding": 2.1595745782795914, + "deflection": 0.005228166150753497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004012)" + }, + "parent_node_id": "node_497", + "improvement_over_parent": null + }, + "node_499": { + "node_id": "node_499", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n\nPerformance:\n Mass: 216.00 kg\n Factor of Safety: 1.12\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.9997074790482, + "fos_buckling": 1.1232071168740028, + "fos_yielding": 2.389303096281267, + "deflection": 0.00467811727592908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002690)" + }, + "parent_node_id": "node_498", + "improvement_over_parent": null + }, + "node_500": { + "node_id": "node_500", + "content": "MODIFICATION: Increase 15 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0063)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n\nPerformance:\n Mass: 224.53 kg\n Factor of Safety: 1.10\n Max Deflection: 4.63e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.53399502045048, + "fos_buckling": 1.097292839025446, + "fos_yielding": 2.3825169396439057, + "deflection": 0.004632765232395263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.610)" + }, + "parent_node_id": "node_499", + "improvement_over_parent": null + }, + "node_501": { + "node_id": "node_501", + "content": "MODIFICATION: Increase 20 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0063)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0035)]\n\nPerformance:\n Mass: 225.67 kg\n Factor of Safety: 1.09\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.66837433391777, + "fos_buckling": 1.0898793218719105, + "fos_yielding": 2.380662638009843, + "deflection": 0.004620005713307785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.284)" + }, + "parent_node_id": "node_500", + "improvement_over_parent": null + }, + "node_502": { + "node_id": "node_502", + "content": "MODIFICATION: Increase 19 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0063)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0057)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0035)]\n\nPerformance:\n Mass: 232.02 kg\n Factor of Safety: 1.07\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.02080803320064, + "fos_buckling": 1.066321704883361, + "fos_yielding": 2.3743545754023985, + "deflection": 0.004577783284716473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.422)" + }, + "parent_node_id": "node_501", + "improvement_over_parent": null + }, + "node_503": { + "node_id": "node_503", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0071)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0065)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0039)]\n\nPerformance:\n Mass: 260.92 kg\n Factor of Safety: 1.19\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.9183956130752, + "fos_buckling": 1.1878630562015133, + "fos_yielding": 2.6688490319503764, + "deflection": 0.004072882716031197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_502", + "improvement_over_parent": null + }, + "node_504": { + "node_id": "node_504", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_503", + "improvement_over_parent": null + }, + "node_505": { + "node_id": "node_505", + "content": "INITIAL DESIGN (Trace 77)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 126.10 kg\n Factor of Safety: 0.12\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": 126.10319870804847, + "fos_buckling": 0.12181880063491486, + "fos_yielding": 0.6492760807327386, + "deflection": 0.015510185524143759, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_506": { + "node_id": "node_506", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n\nPerformance:\n Mass: 144.63 kg\n Factor of Safety: 0.85\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.63105138769856, + "fos_buckling": 0.8471796381468374, + "fos_yielding": 1.5363700689066628, + "deflection": 0.0069445549988977635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003293)" + }, + "parent_node_id": "node_505", + "improvement_over_parent": null + }, + "node_507": { + "node_id": "node_507", + "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n\nPerformance:\n Mass: 146.22 kg\n Factor of Safety: 0.85\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.2215813111523, + "fos_buckling": 0.8484199090380671, + "fos_yielding": 1.5386193145079734, + "deflection": 0.006985120937579665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.565)" + }, + "parent_node_id": "node_506", + "improvement_over_parent": null + }, + "node_508": { + "node_id": "node_508", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n\nPerformance:\n Mass: 167.22 kg\n Factor of Safety: 0.96\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.22269575646044, + "fos_buckling": 0.9593477769415882, + "fos_yielding": 1.7593007655140938, + "deflection": 0.006114730355943828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_507", + "improvement_over_parent": null + }, + "node_509": { + "node_id": "node_509", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n\nPerformance:\n Mass: 197.67 kg\n Factor of Safety: 1.12\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.66843490352895, + "fos_buckling": 1.115296702831943, + "fos_yielding": 2.079232642069837, + "deflection": 0.005181300650716064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_508", + "improvement_over_parent": null + }, + "node_510": { + "node_id": "node_510", + "content": "MODIFICATION: Increase 17 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0047)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n\nPerformance:\n Mass: 201.73 kg\n Factor of Safety: 1.14\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.73278944631258, + "fos_buckling": 1.1363738216417687, + "fos_yielding": 2.0913966380719047, + "deflection": 0.0051057107917664765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.271)" + }, + "parent_node_id": "node_509", + "improvement_over_parent": null + }, + "node_511": { + "node_id": "node_511", + "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0047)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n\nPerformance:\n Mass: 203.07 kg\n Factor of Safety: 1.26\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.06691397449137, + "fos_buckling": 1.2557920075631819, + "fos_yielding": 2.0885019563252354, + "deflection": 0.004999415465481361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.263)" + }, + "parent_node_id": "node_510", + "improvement_over_parent": null + }, + "node_512": { + "node_id": "node_512", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0061)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 259.20 kg\n Factor of Safety: 1.54\n Max Deflection: 3.93e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 259.20306417480083, + "fos_buckling": 1.5397163490445513, + "fos_yielding": 2.659751218306716, + "deflection": 0.003929108367234424, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 78)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0024)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 145.01 kg\n Factor of Safety: 0.77\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.01258308970472, + "fos_buckling": 0.7651154657373492, + "fos_yielding": 1.6053573847749498, + "deflection": 0.0069283722127108085, + "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 13 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 150.95 kg\n Factor of Safety: 0.81\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.9463371344319, + "fos_buckling": 0.8080926726836787, + "fos_yielding": 1.6161204531792865, + "deflection": 0.0066720690318996505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.466)" + }, + "parent_node_id": "node_514", + "improvement_over_parent": null + }, + "node_516": { + "node_id": "node_516", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 171.59 kg\n Factor of Safety: 0.91\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.58523398257574, + "fos_buckling": 0.9092625720496947, + "fos_yielding": 1.834983451820458, + "deflection": 0.005876458049265502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_515", + "improvement_over_parent": null + }, + "node_517": { + "node_id": "node_517", + "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 172.62 kg\n Factor of Safety: 0.95\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.6247244420451, + "fos_buckling": 0.9485071711091674, + "fos_yielding": 1.834399299621735, + "deflection": 0.005824009373051373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.395)" + }, + "parent_node_id": "node_516", + "improvement_over_parent": null + }, + "node_518": { + "node_id": "node_518", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 194.24 kg\n Factor of Safety: 1.06\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.24184394868934, + "fos_buckling": 1.055584557741519, + "fos_yielding": 2.061712942189188, + "deflection": 0.005182398151262324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_517", + "improvement_over_parent": null + }, + "node_519": { + "node_id": "node_519", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 251.16 kg\n Factor of Safety: 1.33\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.15831734287173, + "fos_buckling": 1.3250652340245461, + "fos_yielding": 2.65760984588892, + "deflection": 0.004021336934487455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_518", + "improvement_over_parent": null + }, + "node_520": { + "node_id": "node_520", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.20 kg\n Factor of Safety: 1.47\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.20022842983664, + "fos_buckling": 1.4721245830899137, + "fos_yielding": 2.6580795729234685, + "deflection": 0.004002884594484801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.311)" + }, + "parent_node_id": "node_519", + "improvement_over_parent": null + }, + "node_521": { + "node_id": "node_521", + "content": "MODIFICATION: Increase 17 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.63 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.62520392403616, + "fos_buckling": 1.5413150879500441, + "fos_yielding": 2.6500960297629104, + "deflection": 0.003958590283817076, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.471)" + }, + "parent_node_id": "node_520", + "improvement_over_parent": null + }, + "node_522": { + "node_id": "node_522", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_521", + "improvement_over_parent": null + }, + "node_523": { + "node_id": "node_523", + "content": "INITIAL DESIGN (Trace 79)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n Mass: 157.01 kg\n Factor of Safety: 0.50\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.01025580363654, + "fos_buckling": 0.49801607107024015, + "fos_yielding": 1.7308023269443222, + "deflection": 0.007284015526214812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_524": { + "node_id": "node_524", + "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n Mass: 158.20 kg\n Factor of Safety: 0.50\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.20471924761605, + "fos_buckling": 0.4979990970188248, + "fos_yielding": 1.730743177748088, + "deflection": 0.0072400937126165825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.553)" + }, + "parent_node_id": "node_523", + "improvement_over_parent": null + }, + "node_525": { + "node_id": "node_525", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 198.00 kg\n Factor of Safety: 0.60\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.00020850578906, + "fos_buckling": 0.6021898508965609, + "fos_yielding": 2.158904581087432, + "deflection": 0.005801647661261599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_524", + "improvement_over_parent": null + }, + "node_526": { + "node_id": "node_526", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n Mass: 203.73 kg\n Factor of Safety: 0.60\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.72545681897932, + "fos_buckling": 0.6018959789093911, + "fos_yielding": 2.157847512861059, + "deflection": 0.005850197587733519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002307)" + }, + "parent_node_id": "node_525", + "improvement_over_parent": null + }, + "node_527": { + "node_id": "node_527", + "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n Mass: 206.12 kg\n Factor of Safety: 0.60\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.12082051653783, + "fos_buckling": 0.601855017723211, + "fos_yielding": 2.1577001742576853, + "deflection": 0.00582673303611513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.182)" + }, + "parent_node_id": "node_526", + "improvement_over_parent": null + }, + "node_528": { + "node_id": "node_528", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 236.14 kg\n Factor of Safety: 0.67\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.14116473932256, + "fos_buckling": 0.6721694498629248, + "fos_yielding": 2.4661613940349634, + "deflection": 0.005095969807581859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_527", + "improvement_over_parent": null + }, + "node_529": { + "node_id": "node_529", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.40 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.39629082121473, + "fos_buckling": 1.5400948053612564, + "fos_yielding": 2.6479113237159217, + "deflection": 0.003961985860956954, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_528", + "improvement_over_parent": null + }, + "node_530": { + "node_id": "node_530", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_529", + "improvement_over_parent": null + }, + "node_531": { + "node_id": "node_531", + "content": "INITIAL DESIGN (Trace 80)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\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_532": { + "node_id": "node_532", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 228.69 kg\n Factor of Safety: 0.58\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.69035053785217, + "fos_buckling": 0.5766344678157946, + "fos_yielding": 2.0820998059206737, + "deflection": 0.004620350158538843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_531", + "improvement_over_parent": null + }, + "node_533": { + "node_id": "node_533", + "content": "MODIFICATION: Increase 5 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 231.70 kg\n Factor of Safety: 0.67\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.70197965548283, + "fos_buckling": 0.6664344882629505, + "fos_yielding": 2.549303683732552, + "deflection": 0.004435700828582061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.504)" + }, + "parent_node_id": "node_532", + "improvement_over_parent": null + }, + "node_534": { + "node_id": "node_534", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 249.69 kg\n Factor of Safety: 0.73\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.69134422214273, + "fos_buckling": 0.7290977328662843, + "fos_yielding": 2.5618236774180057, + "deflection": 0.0038156633290521943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_533", + "improvement_over_parent": null + }, + "node_535": { + "node_id": "node_535", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53010724012216, + "fos_buckling": 1.5408265181592982, + "fos_yielding": 2.6493789145604825, + "deflection": 0.003959866139121169, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_534", + "improvement_over_parent": null + }, + "node_536": { + "node_id": "node_536", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_535", + "improvement_over_parent": null + }, + "node_537": { + "node_id": "node_537", + "content": "INITIAL DESIGN (Trace 81)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 153.92 kg\n Factor of Safety: 0.03\n Max Deflection: 3.40e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.9172008351539, + "fos_buckling": 0.03464360438919059, + "fos_yielding": 0.43145981347601353, + "deflection": 0.0340025659854377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_538": { + "node_id": "node_538", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n Mass: 159.12 kg\n Factor of Safety: 0.03\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": 159.1159836797033, + "fos_buckling": 0.034626472780044416, + "fos_yielding": 0.4312464522794211, + "deflection": 0.02461856866336625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002085)" + }, + "parent_node_id": "node_537", + "improvement_over_parent": null + }, + "node_539": { + "node_id": "node_539", + "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n Mass: 161.02 kg\n Factor of Safety: 0.03\n Max Deflection: 2.35e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.0171556468006, + "fos_buckling": 0.034621255353097236, + "fos_yielding": 0.43118147318451616, + "deflection": 0.023528685333474908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.224)" + }, + "parent_node_id": "node_538", + "improvement_over_parent": null + }, + "node_540": { + "node_id": "node_540", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0036)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n\nPerformance:\n Mass: 186.57 kg\n Factor of Safety: 0.04\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": 186.57163754645393, + "fos_buckling": 0.039355699815283314, + "fos_yielding": 0.49907821124287993, + "deflection": 0.020342963393614508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_539", + "improvement_over_parent": null + }, + "node_541": { + "node_id": "node_541", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 242.98 kg\n Factor of Safety: 0.05\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": 242.97893989514418, + "fos_buckling": 0.04907660115722743, + "fos_yielding": 0.6484406799358123, + "deflection": 0.01568422250220136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_540", + "improvement_over_parent": null + }, + "node_542": { + "node_id": "node_542", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 247.70 kg\n Factor of Safety: 0.05\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.69575914450576, + "fos_buckling": 0.04907294516585676, + "fos_yielding": 0.6483923739514055, + "deflection": 0.015386497551807318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_541", + "improvement_over_parent": null + }, + "node_543": { + "node_id": "node_543", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.26 kg\n Factor of Safety: 1.52\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.2589001237256, + "fos_buckling": 1.520025251934718, + "fos_yielding": 2.644265533471034, + "deflection": 0.003952777954041517, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_542", + "improvement_over_parent": null + }, + "node_544": { + "node_id": "node_544", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_543", + "improvement_over_parent": null + }, + "node_545": { + "node_id": "node_545", + "content": "INITIAL DESIGN (Trace 82)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 184.16 kg\n Factor of Safety: 0.40\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.16366935386492, + "fos_buckling": 0.40172676420166287, + "fos_yielding": 1.5029313674988727, + "deflection": 0.006211348997047092, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_546": { + "node_id": "node_546", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n\nPerformance:\n Mass: 191.83 kg\n Factor of Safety: 1.01\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.8286962430783, + "fos_buckling": 1.0057005470667697, + "fos_yielding": 1.6061385608638423, + "deflection": 0.005495980018974386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002752)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n Mass: 222.83 kg\n Factor of Safety: 1.15\n Max Deflection: 4.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.828517326923, + "fos_buckling": 1.1532443164429913, + "fos_yielding": 1.867673800121425, + "deflection": 0.004737293429630484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_546", + "improvement_over_parent": null + }, + "node_548": { + "node_id": "node_548", + "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n Mass: 224.83 kg\n Factor of Safety: 1.14\n Max Deflection: 4.56e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.82561506507028, + "fos_buckling": 1.1401369318469852, + "fos_yielding": 2.1910962687051545, + "deflection": 0.0045628738438630466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.300)" + }, + "parent_node_id": "node_547", + "improvement_over_parent": null + }, + "node_549": { + "node_id": "node_549", + "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n Mass: 228.62 kg\n Factor of Safety: 1.28\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.61641745452246, + "fos_buckling": 1.2771454831158964, + "fos_yielding": 2.2001488499560677, + "deflection": 0.004504193304302787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.639)" + }, + "parent_node_id": "node_548", + "improvement_over_parent": null + }, + "node_550": { + "node_id": "node_550", + "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n Mass: 229.84 kg\n Factor of Safety: 1.40\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.84241845579152, + "fos_buckling": 1.4034177097673253, + "fos_yielding": 2.3656984740449563, + "deflection": 0.0044302528917951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.182)" + }, + "parent_node_id": "node_549", + "improvement_over_parent": null + }, + "node_551": { + "node_id": "node_551", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.66014844634543, + "fos_buckling": 1.541487302091852, + "fos_yielding": 2.6486783176707127, + "deflection": 0.00395828417779392, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_550", + "improvement_over_parent": null + }, + "node_552": { + "node_id": "node_552", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_551", + "improvement_over_parent": null + }, + "node_553": { + "node_id": "node_553", + "content": "INITIAL DESIGN (Trace 83)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 146.23 kg\n Factor of Safety: 0.39\n Max Deflection: 1.37e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.22777644704405, + "fos_buckling": 0.3904891368451627, + "fos_yielding": 1.755166266754598, + "deflection": 13653053051944.066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_554": { + "node_id": "node_554", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 163.15 kg\n Factor of Safety: 0.13\n Max Deflection: 4.80e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.154958999475, + "fos_buckling": 0.12965620091586072, + "fos_yielding": 0.18803252798631173, + "deflection": 48034879760223.04, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003762)" + }, + "parent_node_id": "node_553", + "improvement_over_parent": null + }, + "node_555": { + "node_id": "node_555", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 204.84 kg\n Factor of Safety: 1.13\n Max Deflection: 2.70e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.844372695053, + "fos_buckling": 1.129994677638493, + "fos_yielding": 3.6780903679964885, + "deflection": 2695910533330.138, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_554", + "improvement_over_parent": null + }, + "node_556": { + "node_id": "node_556", + "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 208.61 kg\n Factor of Safety: 1.00\n Max Deflection: 2.09e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.60864417317356, + "fos_buckling": 1.0046426017314345, + "fos_yielding": 3.6780903679964885, + "deflection": 2094687286392.194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.538)" + }, + "parent_node_id": "node_555", + "improvement_over_parent": null + }, + "node_557": { + "node_id": "node_557", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 226.60 kg\n Factor of Safety: 0.57\n Max Deflection: 2.16e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.59800873983346, + "fos_buckling": 0.5716774749734259, + "fos_yielding": 4.680443378012263, + "deflection": 2161175363805.953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_556", + "improvement_over_parent": null + }, + "node_558": { + "node_id": "node_558", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 227.85 kg\n Factor of Safety: 0.38\n Max Deflection: 3.11e+12 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.84846958112593, + "fos_buckling": 0.38111831664895063, + "fos_yielding": 3.510332533509197, + "deflection": 3112051352185.213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.366)" + }, + "parent_node_id": "node_557", + "improvement_over_parent": null + }, + "node_559": { + "node_id": "node_559", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 248.80 kg\n Factor of Safety: 0.45\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": 248.80465358794154, + "fos_buckling": 0.45313561902064897, + "fos_yielding": 1.474560790798882, + "deflection": 0.011119617854234253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_558", + "improvement_over_parent": null + }, + "node_560": { + "node_id": "node_560", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.44 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4415171155951, + "fos_buckling": 1.5402789819215559, + "fos_yielding": 2.6483860593701842, + "deflection": 0.003961171609099669, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_559", + "improvement_over_parent": null + }, + "node_561": { + "node_id": "node_561", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_560", + "improvement_over_parent": null + }, + "node_562": { + "node_id": "node_562", + "content": "INITIAL DESIGN (Trace 84)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0019)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n Mass: 153.32 kg\n Factor of Safety: 0.82\n Max Deflection: 6.74e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.31924130500968, + "fos_buckling": 0.8194718546778462, + "fos_yielding": 1.3554025959834701, + "deflection": 0.006737832042757162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_563": { + "node_id": "node_563", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 175.83 kg\n Factor of Safety: 0.93\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.83486813450185, + "fos_buckling": 0.9298069581277674, + "fos_yielding": 1.5554618871926293, + "deflection": 0.005881520161908567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_562", + "improvement_over_parent": null + }, + "node_564": { + "node_id": "node_564", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 219.11 kg\n Factor of Safety: 1.13\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.10788829137135, + "fos_buckling": 1.1346764644762588, + "fos_yielding": 1.9410199047660774, + "deflection": 0.004729824001879939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_563", + "improvement_over_parent": null + }, + "node_565": { + "node_id": "node_565", + "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 221.11 kg\n Factor of Safety: 1.14\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.10520530763648, + "fos_buckling": 1.1364687565056468, + "fos_yielding": 2.337845471940816, + "deflection": 0.004591078557466108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.337)" + }, + "parent_node_id": "node_564", + "improvement_over_parent": null + }, + "node_566": { + "node_id": "node_566", + "content": "MODIFICATION: Increase 20 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 226.72 kg\n Factor of Safety: 1.39\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.72142942506147, + "fos_buckling": 1.3874547180504213, + "fos_yielding": 2.3356100637446233, + "deflection": 0.004490210036159045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.464)" + }, + "parent_node_id": "node_565", + "improvement_over_parent": null + }, + "node_567": { + "node_id": "node_567", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.47 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4685230506536, + "fos_buckling": 1.54050829107364, + "fos_yielding": 2.648638029736889, + "deflection": 0.003960994361825623, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_566", + "improvement_over_parent": null + }, + "node_568": { + "node_id": "node_568", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_567", + "improvement_over_parent": null + }, + "node_569": { + "node_id": "node_569", + "content": "INITIAL DESIGN (Trace 85)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 158.51 kg\n Factor of Safety: 0.83\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.50570316497704, + "fos_buckling": 0.8292466771611917, + "fos_yielding": 1.0565260750023422, + "deflection": 0.007125801560129584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_570": { + "node_id": "node_570", + "content": "MODIFICATION: Increase 14 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 161.27 kg\n Factor of Safety: 0.83\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.26505512638496, + "fos_buckling": 0.8290653243340507, + "fos_yielding": 1.0562950171085592, + "deflection": 0.007001874121543346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.453)" + }, + "parent_node_id": "node_569", + "improvement_over_parent": null + }, + "node_571": { + "node_id": "node_571", + "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 163.24 kg\n Factor of Safety: 0.83\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.23842864168807, + "fos_buckling": 0.828987531062656, + "fos_yielding": 1.6314908520305864, + "deflection": 0.006707721269879428, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.577)" + }, + "parent_node_id": "node_570", + "improvement_over_parent": null + }, + "node_572": { + "node_id": "node_572", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n\nPerformance:\n Mass: 166.59 kg\n Factor of Safety: 1.02\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.59295599096083, + "fos_buckling": 1.018496980224482, + "fos_yielding": 1.829705216393583, + "deflection": 0.005813889075878324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001989)" + }, + "parent_node_id": "node_571", + "improvement_over_parent": null + }, + "node_573": { + "node_id": "node_573", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n\nPerformance:\n Mass: 215.61 kg\n Factor of Safety: 1.27\n Max Deflection: 4.51e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.60722548855603, + "fos_buckling": 1.2745253601260003, + "fos_yielding": 2.36159769691464, + "deflection": 0.004506211746950194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_572", + "improvement_over_parent": null + }, + "node_574": { + "node_id": "node_574", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n Mass: 221.30 kg\n Factor of Safety: 1.30\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.29581834793615, + "fos_buckling": 1.2991562275451862, + "fos_yielding": 2.305326541269403, + "deflection": 0.004584835804060015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002291)" + }, + "parent_node_id": "node_573", + "improvement_over_parent": null + }, + "node_575": { + "node_id": "node_575", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 255.17 kg\n Factor of Safety: 1.47\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.1653239833399, + "fos_buckling": 1.4694163213665534, + "fos_yielding": 2.653669739499436, + "deflection": 0.003984207940414946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_574", + "improvement_over_parent": null + }, + "node_576": { + "node_id": "node_576", + "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0042)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.13 kg\n Factor of Safety: 1.44\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.1315564010864, + "fos_buckling": 1.4407067326314587, + "fos_yielding": 2.659840601663182, + "deflection": 0.003995035093422938, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.284)" + }, + "parent_node_id": "node_575", + "improvement_over_parent": null + }, + "node_577": { + "node_id": "node_577", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_576", + "improvement_over_parent": null + }, + "node_578": { + "node_id": "node_578", + "content": "INITIAL DESIGN (Trace 86)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0017)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0024)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n Mass: 107.36 kg\n Factor of Safety: 0.56\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.36209007709931, + "fos_buckling": 0.5550029161756187, + "fos_yielding": 0.867419681031193, + "deflection": 0.01080255027803794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_579": { + "node_id": "node_579", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 139.22 kg\n Factor of Safety: 0.70\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.22405919665317, + "fos_buckling": 0.7036511927799044, + "fos_yielding": 1.1266010909800654, + "deflection": 0.008342269146816409, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_578", + "improvement_over_parent": null + }, + "node_580": { + "node_id": "node_580", + "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 140.82 kg\n Factor of Safety: 0.70\n Max Deflection: 7.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.8245609502043, + "fos_buckling": 0.7035618628727484, + "fos_yielding": 1.359758489406091, + "deflection": 0.007985647320211066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.403)" + }, + "parent_node_id": "node_579", + "improvement_over_parent": null + }, + "node_581": { + "node_id": "node_581", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 166.75 kg\n Factor of Safety: 0.82\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.75390920415376, + "fos_buckling": 0.8178877577479967, + "fos_yielding": 1.6082928813984783, + "deflection": 0.0067541097318067995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_580", + "improvement_over_parent": null + }, + "node_582": { + "node_id": "node_582", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 200.15 kg\n Factor of Safety: 0.96\n Max Deflection: 5.64e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.15440687333603, + "fos_buckling": 0.958241726507636, + "fos_yielding": 1.9276067148534783, + "deflection": 0.005637960521276171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_581", + "improvement_over_parent": null + }, + "node_583": { + "node_id": "node_583", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.48135421712738, + "fos_buckling": 1.1625544501700589, + "fos_yielding": 2.4259861126733644, + "deflection": 0.004483068376134669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_582", + "improvement_over_parent": null + }, + "node_584": { + "node_id": "node_584", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4845808257937, + "fos_buckling": 1.54060785494254, + "fos_yielding": 2.648938322192169, + "deflection": 0.003960585865922073, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_583", + "improvement_over_parent": null + }, + "node_585": { + "node_id": "node_585", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_584", + "improvement_over_parent": null + }, + "node_586": { + "node_id": "node_586", + "content": "INITIAL DESIGN (Trace 87)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 197.93 kg\n Factor of Safety: 0.39\n Max Deflection: 9.85e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.9295417512886, + "fos_buckling": 0.38845511813317457, + "fos_yielding": 0.8397469306091013, + "deflection": 9854075712786.188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_587": { + "node_id": "node_587", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 199.50 kg\n Factor of Safety: 0.06\n Max Deflection: 8.90e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.50331035119302, + "fos_buckling": 0.06396192646616143, + "fos_yielding": 0.15305715305307507, + "deflection": 89011402624077.88, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.215)" + }, + "parent_node_id": "node_586", + "improvement_over_parent": null + }, + "node_588": { + "node_id": "node_588", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n\nPerformance:\n Mass: 207.41 kg\n Factor of Safety: 1.22\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.4068607438866, + "fos_buckling": 1.2229859209642406, + "fos_yielding": 2.251369047244983, + "deflection": 0.004692056641038319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003439)" + }, + "parent_node_id": "node_587", + "improvement_over_parent": null + }, + "node_589": { + "node_id": "node_589", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 250.85 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.8486773552433, + "fos_buckling": 1.4351500319861712, + "fos_yielding": 2.7168060809323884, + "deflection": 0.0038900062203592657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_588", + "improvement_over_parent": null + }, + "node_590": { + "node_id": "node_590", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.41 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4074655433929, + "fos_buckling": 1.5402257739267762, + "fos_yielding": 2.6480871660741703, + "deflection": 0.0039618188638849495, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_589", + "improvement_over_parent": null + }, + "node_591": { + "node_id": "node_591", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_590", + "improvement_over_parent": null + }, + "node_592": { + "node_id": "node_592", + "content": "INITIAL DESIGN (Trace 88)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n Mass: 125.76 kg\n Factor of Safety: 0.83\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.76243289498862, + "fos_buckling": 0.8262418064169773, + "fos_yielding": 1.301616536785366, + "deflection": 0.008047379108740847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_593": { + "node_id": "node_593", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 163.74 kg\n Factor of Safety: 1.05\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.74406116127872, + "fos_buckling": 1.0479764024389595, + "fos_yielding": 1.6917701282048305, + "deflection": 0.006194348711257953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_592", + "improvement_over_parent": null + }, + "node_594": { + "node_id": "node_594", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 200.71 kg\n Factor of Safety: 1.25\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.71483479272322, + "fos_buckling": 1.2515233719635623, + "fos_yielding": 2.070238241925066, + "deflection": 0.00506419123803103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_593", + "improvement_over_parent": null + }, + "node_595": { + "node_id": "node_595", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.58 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5809066481928, + "fos_buckling": 1.5410719659063865, + "fos_yielding": 2.6498818222542253, + "deflection": 0.003959132044221365, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_594", + "improvement_over_parent": null + }, + "node_596": { + "node_id": "node_596", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_595", + "improvement_over_parent": null + }, + "node_597": { + "node_id": "node_597", + "content": "INITIAL DESIGN (Trace 89)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 220.69 kg\n Factor of Safety: 0.91\n Max Deflection: 4.67e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.68530292882755, + "fos_buckling": 0.9132037988252442, + "fos_yielding": 2.2773452100931064, + "deflection": 0.004666880172925427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_598": { + "node_id": "node_598", + "content": "MODIFICATION: Increase 17 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 223.96 kg\n Factor of Safety: 0.91\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.9592865178966, + "fos_buckling": 0.9132899840602993, + "fos_yielding": 2.2771311869467574, + "deflection": 0.0045971150889563385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.323)" + }, + "parent_node_id": "node_597", + "improvement_over_parent": null + }, + "node_599": { + "node_id": "node_599", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 233.93 kg\n Factor of Safety: 0.91\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.93103991659223, + "fos_buckling": 0.9122410943708607, + "fos_yielding": 2.2903122543100363, + "deflection": 0.004579921992633088, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_598", + "improvement_over_parent": null + }, + "node_600": { + "node_id": "node_600", + "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 235.64 kg\n Factor of Safety: 0.91\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.64321859034635, + "fos_buckling": 0.9121061964225357, + "fos_yielding": 2.3881523253863244, + "deflection": 0.004475364293500366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.218)" + }, + "parent_node_id": "node_599", + "improvement_over_parent": null + }, + "node_601": { + "node_id": "node_601", + "content": "MODIFICATION: Increase 18 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0063)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 241.25 kg\n Factor of Safety: 0.91\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.24778368692142, + "fos_buckling": 0.9122533879380414, + "fos_yielding": 2.3877692139184594, + "deflection": 0.004437973281940601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.299)" + }, + "parent_node_id": "node_600", + "improvement_over_parent": null + }, + "node_602": { + "node_id": "node_602", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0063)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 259.29 kg\n Factor of Safety: 1.54\n Max Deflection: 3.94e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 259.2903198896691, + "fos_buckling": 1.5413355903227732, + "fos_yielding": 2.6475759491232664, + "deflection": 0.003943336035222597, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_601", + "improvement_over_parent": null + }, + "node_603": { + "node_id": "node_603", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_602", + "improvement_over_parent": null + }, + "node_604": { + "node_id": "node_604", + "content": "INITIAL DESIGN (Trace 90)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 203.03 kg\n Factor of Safety: 0.04\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": 203.02779197212064, + "fos_buckling": 0.044038074186306966, + "fos_yielding": 0.5691218770421818, + "deflection": 0.018259009325596102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_605": { + "node_id": "node_605", + "content": "MODIFICATION: Increase 17 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 209.25 kg\n Factor of Safety: 0.04\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": 209.24651222747195, + "fos_buckling": 0.04402507562087323, + "fos_yielding": 0.5689538913140318, + "deflection": 0.018267195695045303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.553)" + }, + "parent_node_id": "node_604", + "improvement_over_parent": null + }, + "node_606": { + "node_id": "node_606", + "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 217.40 kg\n Factor of Safety: 0.04\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": 217.4046829442131, + "fos_buckling": 0.04400803478673271, + "fos_yielding": 0.5687336657094473, + "deflection": 0.018223334497845755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.445)" + }, + "parent_node_id": "node_605", + "improvement_over_parent": null + }, + "node_607": { + "node_id": "node_607", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.07 kg\n Factor of Safety: 0.05\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": 248.07433691418515, + "fos_buckling": 0.04905673212996337, + "fos_yielding": 0.6481212592130821, + "deflection": 0.015996503686381815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_606", + "improvement_over_parent": null + }, + "node_608": { + "node_id": "node_608", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.64 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.637477893405, + "fos_buckling": 1.5408822785491627, + "fos_yielding": 2.6504491945640285, + "deflection": 0.003958408915093223, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_607", + "improvement_over_parent": null + }, + "node_609": { + "node_id": "node_609", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_608", + "improvement_over_parent": null + }, + "node_610": { + "node_id": "node_610", + "content": "INITIAL DESIGN (Trace 91)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 141.64 kg\n Factor of Safety: 0.03\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": 141.63676744078415, + "fos_buckling": 0.03304547163967038, + "fos_yielding": 0.4091763032825052, + "deflection": 0.028262152200033617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_611": { + "node_id": "node_611", + "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 142.60 kg\n Factor of Safety: 0.03\n Max Deflection: 2.80e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.59812983595828, + "fos_buckling": 0.03304496778747114, + "fos_yielding": 0.4091700644736744, + "deflection": 0.027992379988836264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.506)" + }, + "parent_node_id": "node_610", + "improvement_over_parent": null + }, + "node_612": { + "node_id": "node_612", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n\nPerformance:\n Mass: 148.61 kg\n Factor of Safety: 0.46\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.61293488445475, + "fos_buckling": 0.45501519881416314, + "fos_yielding": 1.5622464090241515, + "deflection": 0.008051313662125968, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002570)" + }, + "parent_node_id": "node_611", + "improvement_over_parent": null + }, + "node_613": { + "node_id": "node_613", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n\nPerformance:\n Mass: 194.45 kg\n Factor of Safety: 0.57\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.4491411605029, + "fos_buckling": 0.5733456759527855, + "fos_yielding": 2.036756745677481, + "deflection": 0.006171937230723664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_612", + "improvement_over_parent": null + }, + "node_614": { + "node_id": "node_614", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 236.24 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.23924597590306, + "fos_buckling": 0.6723889122088914, + "fos_yielding": 2.4664262724513346, + "deflection": 0.0050940255045003975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_613", + "improvement_over_parent": null + }, + "node_615": { + "node_id": "node_615", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.49 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4943720577952, + "fos_buckling": 1.5406507486232903, + "fos_yielding": 2.648977069272083, + "deflection": 0.003960494312899118, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_614", + "improvement_over_parent": null + }, + "node_616": { + "node_id": "node_616", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_615", + "improvement_over_parent": null + }, + "node_617": { + "node_id": "node_617", + "content": "INITIAL DESIGN (Trace 92)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 181.17 kg\n Factor of Safety: 0.32\n Max Deflection: 5.93e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.17228615187034, + "fos_buckling": 0.32321843019394925, + "fos_yielding": 2.5192407918273036, + "deflection": 5930013741792.757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_618": { + "node_id": "node_618", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 185.28 kg\n Factor of Safety: 0.23\n Max Deflection: 9.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.28191613418488, + "fos_buckling": 0.2270629339901866, + "fos_yielding": 1.1969133748511767, + "deflection": 0.009887538120966101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002471)" + }, + "parent_node_id": "node_617", + "improvement_over_parent": null + }, + "node_619": { + "node_id": "node_619", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n\nPerformance:\n Mass: 211.52 kg\n Factor of Safety: 1.31\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.5232997811483, + "fos_buckling": 1.308708412201011, + "fos_yielding": 2.1806454160792907, + "deflection": 0.004808418493524047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004768)" + }, + "parent_node_id": "node_618", + "improvement_over_parent": null + }, + "node_620": { + "node_id": "node_620", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.56 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.56011591821346, + "fos_buckling": 1.540922210467983, + "fos_yielding": 2.649674231248443, + "deflection": 0.003959445671502953, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_619", + "improvement_over_parent": null + }, + "node_621": { + "node_id": "node_621", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_620", + "improvement_over_parent": null + }, + "node_622": { + "node_id": "node_622", + "content": "INITIAL DESIGN (Trace 93)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 215.99 kg\n Factor of Safety: 0.82\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.99172669983798, + "fos_buckling": 0.8177955998865192, + "fos_yielding": 2.2583313690533307, + "deflection": 0.005385198498469288, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_623": { + "node_id": "node_623", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n Mass: 220.04 kg\n Factor of Safety: 1.36\n Max Deflection: 4.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.04349590307243, + "fos_buckling": 1.3595015724428765, + "fos_yielding": 2.2784042801368853, + "deflection": 0.00460887278498591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002518)" + }, + "parent_node_id": "node_622", + "improvement_over_parent": null + }, + "node_624": { + "node_id": "node_624", + "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0041)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n Mass: 222.38 kg\n Factor of Safety: 1.36\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.37824952891057, + "fos_buckling": 1.3593366114857588, + "fos_yielding": 2.279114182264322, + "deflection": 0.004581911388498483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.279)" + }, + "parent_node_id": "node_623", + "improvement_over_parent": null + }, + "node_625": { + "node_id": "node_625", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0049)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 258.98 kg\n Factor of Safety: 1.54\n Max Deflection: 3.94e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.97691475970635, + "fos_buckling": 1.541646093976243, + "fos_yielding": 2.650237599616353, + "deflection": 0.003942282438754062, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_624", + "improvement_over_parent": null + }, + "node_626": { + "node_id": "node_626", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_625", + "improvement_over_parent": null + }, + "node_627": { + "node_id": "node_627", + "content": "INITIAL DESIGN (Trace 94)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 172.00 kg\n Factor of Safety: 0.33\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": 171.9989490986602, + "fos_buckling": 0.33186482805654205, + "fos_yielding": 1.0244211619422292, + "deflection": 0.016007027842602377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_628": { + "node_id": "node_628", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 215.10 kg\n Factor of Safety: 0.40\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": 215.10184242040518, + "fos_buckling": 0.40185864154482726, + "fos_yielding": 1.2775700928061056, + "deflection": 0.012835226317803237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_627", + "improvement_over_parent": null + }, + "node_629": { + "node_id": "node_629", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.78 kg\n Factor of Safety: 0.45\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": 248.78199139165142, + "fos_buckling": 0.45292423459227327, + "fos_yielding": 1.4743980252746656, + "deflection": 0.011121740803294217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_628", + "improvement_over_parent": null + }, + "node_630": { + "node_id": "node_630", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.42 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.418854919305, + "fos_buckling": 1.5402695278320315, + "fos_yielding": 2.6481869113094674, + "deflection": 0.003961477985799681, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_629", + "improvement_over_parent": null + }, + "node_631": { + "node_id": "node_631", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_630", + "improvement_over_parent": null + }, + "node_632": { + "node_id": "node_632", + "content": "INITIAL DESIGN (Trace 95)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n Mass: 131.28 kg\n Factor of Safety: 0.18\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": 131.27603516570292, + "fos_buckling": 0.18046346558385784, + "fos_yielding": 0.9381331316382645, + "deflection": 0.013612194705853058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_633": { + "node_id": "node_633", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 144.93 kg\n Factor of Safety: 0.18\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": 144.93037818395007, + "fos_buckling": 0.18328265369959254, + "fos_yielding": 0.9379299437130038, + "deflection": 0.012619506414662883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002992)" + }, + "parent_node_id": "node_632", + "improvement_over_parent": null + }, + "node_634": { + "node_id": "node_634", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n\nPerformance:\n Mass: 165.46 kg\n Factor of Safety: 1.06\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.45892735600484, + "fos_buckling": 1.05772507451672, + "fos_yielding": 1.709348495043232, + "deflection": 0.00613076045323114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003669)" + }, + "parent_node_id": "node_633", + "improvement_over_parent": null + }, + "node_635": { + "node_id": "node_635", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n\nPerformance:\n Mass: 210.06 kg\n Factor of Safety: 1.30\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.06344156200453, + "fos_buckling": 1.3011219449773712, + "fos_yielding": 2.165730819329502, + "deflection": 0.004841431097643032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_634", + "improvement_over_parent": null + }, + "node_636": { + "node_id": "node_636", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5076913239663, + "fos_buckling": 1.5407587019715556, + "fos_yielding": 2.6491304809769374, + "deflection": 0.003960242954155546, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_635", + "improvement_over_parent": null + }, + "node_637": { + "node_id": "node_637", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_636", + "improvement_over_parent": null + }, + "node_638": { + "node_id": "node_638", + "content": "INITIAL DESIGN (Trace 96)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0015)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 132.59 kg\n Factor of Safety: 0.84\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.58537878063552, + "fos_buckling": 0.838274705378715, + "fos_yielding": 1.4074062662119091, + "deflection": 0.007559136630895533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_639": { + "node_id": "node_639", + "content": "MODIFICATION: Increase 17 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 135.63 kg\n Factor of Safety: 0.89\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.6330130053247, + "fos_buckling": 0.8850569165701605, + "fos_yielding": 1.403055169482148, + "deflection": 0.007466243770370688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.493)" + }, + "parent_node_id": "node_638", + "improvement_over_parent": null + }, + "node_640": { + "node_id": "node_640", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 178.03 kg\n Factor of Safety: 1.13\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.03387612760156, + "fos_buckling": 1.1280335248651128, + "fos_yielding": 1.838097417719426, + "deflection": 0.005702050028335321, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_639", + "improvement_over_parent": null + }, + "node_641": { + "node_id": "node_641", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 217.46 kg\n Factor of Safety: 1.34\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.46023145900128, + "fos_buckling": 1.3396859800748695, + "fos_yielding": 2.2411087229904108, + "deflection": 0.004678889348798347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_640", + "improvement_over_parent": null + }, + "node_642": { + "node_id": "node_642", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.46 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.45528186945444, + "fos_buckling": 1.5404010996089275, + "fos_yielding": 2.6484529683055595, + "deflection": 0.003961153913881236, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 97)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 169.91 kg\n Factor of Safety: 0.04\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": 169.91390790772036, + "fos_buckling": 0.03745041818050421, + "fos_yielding": 0.47139787758954255, + "deflection": 0.02226470287635853, + "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: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 188.16 kg\n Factor of Safety: 0.04\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": 188.1553365651067, + "fos_buckling": 0.04087159124998613, + "fos_yielding": 0.5214129196761479, + "deflection": 0.020130959565963304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_644", + "improvement_over_parent": null + }, + "node_646": { + "node_id": "node_646", + "content": "MODIFICATION: Increase 11 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 189.98 kg\n Factor of Safety: 0.04\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": 189.98162193234984, + "fos_buckling": 0.04087159124998609, + "fos_yielding": 0.5214129196761474, + "deflection": 0.020116812084066155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.287)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n Mass: 197.66 kg\n Factor of Safety: 1.28\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.66299311513802, + "fos_buckling": 1.2773865006151484, + "fos_yielding": 2.133592226215341, + "deflection": 0.005051278001968276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003335)" + }, + "parent_node_id": "node_646", + "improvement_over_parent": null + }, + "node_648": { + "node_id": "node_648", + "content": "MODIFICATION: Increase 19 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0056)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n Mass: 205.09 kg\n Factor of Safety: 1.28\n Max Deflection: 4.96e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.0912715804366, + "fos_buckling": 1.2841839068812535, + "fos_yielding": 2.131756018597117, + "deflection": 0.004955438135052125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.486)" + }, + "parent_node_id": "node_647", + "improvement_over_parent": null + }, + "node_649": { + "node_id": "node_649", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0072)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 255.20 kg\n Factor of Safety: 1.54\n Max Deflection: 3.99e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.20147159482212, + "fos_buckling": 1.5409559037491005, + "fos_yielding": 2.6481004742470273, + "deflection": 0.0039911976463403945, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_648", + "improvement_over_parent": null + }, + "node_650": { + "node_id": "node_650", + "content": "MODIFICATION: Increase 17 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0072)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 260.87 kg\n Factor of Safety: 1.54\n Max Deflection: 3.94e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 260.868657402195, + "fos_buckling": 1.5396789003498983, + "fos_yielding": 2.6512052676462865, + "deflection": 0.003938238042276445, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.307)" + }, + "parent_node_id": "node_649", + "improvement_over_parent": null + }, + "node_651": { + "node_id": "node_651", + "content": "MODIFICATION: Increase 11 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0052)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0072)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 264.44 kg\n Factor of Safety: 1.54\n Max Deflection: 3.92e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 264.44403733601035, + "fos_buckling": 1.539481814312441, + "fos_yielding": 2.6520784914522118, + "deflection": 0.003916025984382952, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.379)" + }, + "parent_node_id": "node_650", + "improvement_over_parent": null + }, + "node_652": { + "node_id": "node_652", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_651", + "improvement_over_parent": null + }, + "node_653": { + "node_id": "node_653", + "content": "INITIAL DESIGN (Trace 98)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 207.84 kg\n Factor of Safety: 0.26\n Max Deflection: 7.31e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.84139956595587, + "fos_buckling": 0.2620733989034547, + "fos_yielding": 1.2596203959136518, + "deflection": 7309757492436.992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_654": { + "node_id": "node_654", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 230.76 kg\n Factor of Safety: 0.08\n Max Deflection: 1.16e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.75801516823998, + "fos_buckling": 0.08166323974911097, + "fos_yielding": 1.0787349082301443, + "deflection": 11551449887707.668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_653", + "improvement_over_parent": null + }, + "node_655": { + "node_id": "node_655", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 244.51 kg\n Factor of Safety: 0.05\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": 244.5074836344274, + "fos_buckling": 0.04902927076996571, + "fos_yielding": 0.647654759560352, + "deflection": 0.016137620190435232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_654", + "improvement_over_parent": null + }, + "node_656": { + "node_id": "node_656", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 254.07 kg\n Factor of Safety: 1.52\n Max Deflection: 3.99e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.0706246136472, + "fos_buckling": 1.5163064088628146, + "fos_yielding": 2.652671064157316, + "deflection": 0.003986079742478884, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_655", + "improvement_over_parent": null + }, + "node_657": { + "node_id": "node_657", + "content": "MODIFICATION: Increase 17 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0055)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 258.06 kg\n Factor of Safety: 1.50\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.05564658212364, + "fos_buckling": 1.5039367902134393, + "fos_yielding": 2.6532791623351994, + "deflection": 0.0039582726061292515, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.250)" + }, + "parent_node_id": "node_656", + "improvement_over_parent": null + }, + "node_658": { + "node_id": "node_658", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_657", + "improvement_over_parent": null + }, + "node_659": { + "node_id": "node_659", + "content": "INITIAL DESIGN (Trace 99)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 235.82 kg\n Factor of Safety: 0.95\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.8183606326145, + "fos_buckling": 0.9511128792591418, + "fos_yielding": 2.5174110063200583, + "deflection": 0.0048708172819290395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_660": { + "node_id": "node_660", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 236.85 kg\n Factor of Safety: 0.95\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.84964833373638, + "fos_buckling": 0.9510971910474758, + "fos_yielding": 2.5173367038628256, + "deflection": 0.004846963794468799, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.307)" + }, + "parent_node_id": "node_659", + "improvement_over_parent": null + }, + "node_661": { + "node_id": "node_661", + "content": "MODIFICATION: Increase 19 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.78 kg\n Factor of Safety: 0.95\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.78408066241767, + "fos_buckling": 0.9509917161316633, + "fos_yielding": 2.5168372041409577, + "deflection": 0.00475629402012149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.531)" + }, + "parent_node_id": "node_660", + "improvement_over_parent": null + }, + "node_662": { + "node_id": "node_662", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53354912860505, + "fos_buckling": 1.5408268349215, + "fos_yielding": 2.649366331492723, + "deflection": 0.003959859377559814, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_661", + "improvement_over_parent": null + }, + "node_663": { + "node_id": "node_663", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_662", + "improvement_over_parent": null + }, + "node_664": { + "node_id": "node_664", + "content": "INITIAL DESIGN (Trace 100)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 179.55 kg\n Factor of Safety: 0.92\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.54790564231752, + "fos_buckling": 0.9215063398317446, + "fos_yielding": 1.928896144234532, + "deflection": 0.005616616703034798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_665": { + "node_id": "node_665", + "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 180.29 kg\n Factor of Safety: 0.92\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.28712400641723, + "fos_buckling": 0.9213038296137827, + "fos_yielding": 1.929814203293473, + "deflection": 0.005607084436721101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.256)" + }, + "parent_node_id": "node_664", + "improvement_over_parent": null + }, + "node_666": { + "node_id": "node_666", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 210.90 kg\n Factor of Safety: 1.06\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.90124010739896, + "fos_buckling": 1.0632104195309688, + "fos_yielding": 2.2536098504404483, + "deflection": 0.004801471234751122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_665", + "improvement_over_parent": null + }, + "node_667": { + "node_id": "node_667", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.74 kg\n Factor of Safety: 1.22\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.7371411590165, + "fos_buckling": 1.2238977008390817, + "fos_yielding": 2.631158949111901, + "deflection": 0.004112414763931158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_666", + "improvement_over_parent": null + }, + "node_668": { + "node_id": "node_668", + "content": "MODIFICATION: Increase 13 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.98 kg\n Factor of Safety: 1.54\n Max Deflection: 3.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.98221820464724, + "fos_buckling": 1.5406281975878762, + "fos_yielding": 2.6470716635645375, + "deflection": 0.0039691440079683326, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.447)" + }, + "parent_node_id": "node_667", + "improvement_over_parent": null + }, + "node_669": { + "node_id": "node_669", + "content": "MODIFICATION: Increase 11 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.43 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4331187776678, + "fos_buckling": 1.5402187581939877, + "fos_yielding": 2.648445470913896, + "deflection": 0.003961332072925948, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.307)" + }, + "parent_node_id": "node_668", + "improvement_over_parent": null + }, + "node_670": { + "node_id": "node_670", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_669", + "improvement_over_parent": null + }, + "node_671": { + "node_id": "node_671", + "content": "INITIAL DESIGN (Trace 101)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 213.97 kg\n Factor of Safety: 0.45\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.96691775288775, + "fos_buckling": 0.4544621345244249, + "fos_yielding": 2.245337762801708, + "deflection": 0.005122345308527289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_672": { + "node_id": "node_672", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n\nPerformance:\n Mass: 222.92 kg\n Factor of Safety: 1.35\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.92472693814682, + "fos_buckling": 1.3514109421009723, + "fos_yielding": 2.395708016144002, + "deflection": 0.004541962879468532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003256)" + }, + "parent_node_id": "node_671", + "improvement_over_parent": null + }, + "node_673": { + "node_id": "node_673", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 248.35 kg\n Factor of Safety: 1.48\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.34591491776146, + "fos_buckling": 1.4769681026677224, + "fos_yielding": 2.664934670293718, + "deflection": 0.004082911995244345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_672", + "improvement_over_parent": null + }, + "node_674": { + "node_id": "node_674", + "content": "MODIFICATION: Increase 3 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 250.40 kg\n Factor of Safety: 1.48\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.39763320419755, + "fos_buckling": 1.4771743911151316, + "fos_yielding": 2.663429993293135, + "deflection": 0.004027711318934989, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.639)" + }, + "parent_node_id": "node_673", + "improvement_over_parent": null + }, + "node_675": { + "node_id": "node_675", + "content": "MODIFICATION: Increase 14 thickness by 67%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0065)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 258.18 kg\n Factor of Safety: 1.46\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.1805738772326, + "fos_buckling": 1.4551961998684755, + "fos_yielding": 2.63582157816855, + "deflection": 0.0039637108618282395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.667)" + }, + "parent_node_id": "node_674", + "improvement_over_parent": null + }, + "node_676": { + "node_id": "node_676", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_675", + "improvement_over_parent": null + }, + "node_677": { + "node_id": "node_677", + "content": "INITIAL DESIGN (Trace 102)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 244.50 kg\n Factor of Safety: 1.14\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.4972561730888, + "fos_buckling": 1.1429261985655825, + "fos_yielding": 1.7573837377700157, + "deflection": 0.0041656682468017205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_678": { + "node_id": "node_678", + "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 245.63 kg\n Factor of Safety: 1.24\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.63134687644853, + "fos_buckling": 1.2415006227857424, + "fos_yielding": 2.161916086874674, + "deflection": 0.004112560560543824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.276)" + }, + "parent_node_id": "node_677", + "improvement_over_parent": null + }, + "node_679": { + "node_id": "node_679", + "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.51 kg\n Factor of Safety: 1.24\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.50671645574593, + "fos_buckling": 1.2413989223888153, + "fos_yielding": 2.3479257845925097, + "deflection": 0.004038494953282548, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.575)" + }, + "parent_node_id": "node_678", + "improvement_over_parent": null + }, + "node_680": { + "node_id": "node_680", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 255.07 kg\n Factor of Safety: 1.23\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.06550464389554, + "fos_buckling": 1.23263072190295, + "fos_yielding": 2.3313420066997237, + "deflection": 0.004105216593552232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_679", + "improvement_over_parent": null + }, + "node_681": { + "node_id": "node_681", + "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53471077669934, + "fos_buckling": 1.5407991549452233, + "fos_yielding": 2.6493704460375325, + "deflection": 0.003959718105967895, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.439)" + }, + "parent_node_id": "node_680", + "improvement_over_parent": null + }, + "node_682": { + "node_id": "node_682", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_681", + "improvement_over_parent": null + }, + "node_683": { + "node_id": "node_683", + "content": "INITIAL DESIGN (Trace 103)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 131.32 kg\n Factor of Safety: 0.24\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.3197464320554, + "fos_buckling": 0.24264429142676514, + "fos_yielding": 1.3512141787464862, + "deflection": 0.007905429058787406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_684": { + "node_id": "node_684", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n\nPerformance:\n Mass: 136.78 kg\n Factor of Safety: 0.42\n Max Deflection: 6.92e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.78361347108122, + "fos_buckling": 0.4247747716176907, + "fos_yielding": 1.409878912046656, + "deflection": 0.006916014781024499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.001923)" + }, + "parent_node_id": "node_683", + "improvement_over_parent": null + }, + "node_685": { + "node_id": "node_685", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n\nPerformance:\n Mass: 157.51 kg\n Factor of Safety: 0.48\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.5071678331859, + "fos_buckling": 0.48384045931582004, + "fos_yielding": 1.62210586311987, + "deflection": 0.006013928504248371, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_684", + "improvement_over_parent": null + }, + "node_686": { + "node_id": "node_686", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n\nPerformance:\n Mass: 162.45 kg\n Factor of Safety: 1.04\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.45346885414227, + "fos_buckling": 1.0406476375290905, + "fos_yielding": 1.678518849928792, + "deflection": 0.006243193255049787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001978)" + }, + "parent_node_id": "node_685", + "improvement_over_parent": null + }, + "node_687": { + "node_id": "node_687", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n\nPerformance:\n Mass: 181.08 kg\n Factor of Safety: 1.14\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.08356644491764, + "fos_buckling": 1.1449421691279646, + "fos_yielding": 1.8694152015579144, + "deflection": 0.005606925436561193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_686", + "improvement_over_parent": null + }, + "node_688": { + "node_id": "node_688", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n\nPerformance:\n Mass: 199.84 kg\n Factor of Safety: 1.25\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.83508344055815, + "fos_buckling": 1.246815209342333, + "fos_yielding": 2.061227220168633, + "deflection": 0.005086308248269633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_687", + "improvement_over_parent": null + }, + "node_689": { + "node_id": "node_689", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.36902202250803, + "fos_buckling": 1.5400409448975492, + "fos_yielding": 2.6477025173352953, + "deflection": 0.003962404808944786, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_688", + "improvement_over_parent": null + }, + "node_690": { + "node_id": "node_690", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_689", + "improvement_over_parent": null + }, + "node_691": { + "node_id": "node_691", + "content": "INITIAL DESIGN (Trace 104)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 120.20 kg\n Factor of Safety: 0.32\n Max Deflection: 3.32e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.19995514083637, + "fos_buckling": 0.3157453055830811, + "fos_yielding": 0.7781941992918415, + "deflection": 33164873042228.574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_692": { + "node_id": "node_692", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n\nPerformance:\n Mass: 133.43 kg\n Factor of Safety: 0.51\n Max Deflection: 7.30e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.42687052686748, + "fos_buckling": 0.5118496817280188, + "fos_yielding": 1.4041330134036785, + "deflection": 7302191329190.229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002916)" + }, + "parent_node_id": "node_691", + "improvement_over_parent": null + }, + "node_693": { + "node_id": "node_693", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n\nPerformance:\n Mass: 138.88 kg\n Factor of Safety: 0.03\n Max Deflection: 3.57e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.8791606548738, + "fos_buckling": 0.03316312112919675, + "fos_yielding": 0.41079101538928703, + "deflection": 0.035747682724535254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002452)" + }, + "parent_node_id": "node_692", + "improvement_over_parent": null + }, + "node_694": { + "node_id": "node_694", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n Mass: 178.28 kg\n Factor of Safety: 0.04\n Max Deflection: 2.79e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.2788069529621, + "fos_buckling": 0.041211064020402706, + "fos_yielding": 0.5264212952269847, + "deflection": 0.027911004590550348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_693", + "improvement_over_parent": null + }, + "node_695": { + "node_id": "node_695", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 220.17 kg\n Factor of Safety: 0.05\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.16624894456635, + "fos_buckling": 0.04911410142114901, + "fos_yielding": 0.6489158761743705, + "deflection": 0.02265555529327824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_694", + "improvement_over_parent": null + }, + "node_696": { + "node_id": "node_696", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 230.14 kg\n Factor of Safety: 0.05\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": 230.13800234326197, + "fos_buckling": 0.04908315067471649, + "fos_yielding": 0.6485069420768639, + "deflection": 0.016284174973086398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_695", + "improvement_over_parent": null + }, + "node_697": { + "node_id": "node_697", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 239.70 kg\n Factor of Safety: 0.93\n Max Deflection: 4.57e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.70114332248178, + "fos_buckling": 0.9272686852345935, + "fos_yielding": 2.6325113652945835, + "deflection": 0.0045744066716415675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_696", + "improvement_over_parent": null + }, + "node_698": { + "node_id": "node_698", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.69 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.69050788914166, + "fos_buckling": 1.5417855023210316, + "fos_yielding": 2.651205755353484, + "deflection": 0.003957561978813272, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_697", + "improvement_over_parent": null + }, + "node_699": { + "node_id": "node_699", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_698", + "improvement_over_parent": null + }, + "node_700": { + "node_id": "node_700", + "content": "INITIAL DESIGN (Trace 105)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 189.35 kg\n Factor of Safety: 1.00\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.3478736068881, + "fos_buckling": 0.9959092197996405, + "fos_yielding": 2.005816152357794, + "deflection": 0.005356146129207556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_701": { + "node_id": "node_701", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 216.52 kg\n Factor of Safety: 1.12\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.5237329474923, + "fos_buckling": 1.124007002447129, + "fos_yielding": 2.2903383791260694, + "deflection": 0.004691103175757911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_700", + "improvement_over_parent": null + }, + "node_702": { + "node_id": "node_702", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.53 kg\n Factor of Safety: 1.27\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.52739582165648, + "fos_buckling": 1.2745174229863354, + "fos_yielding": 2.6347212446981287, + "deflection": 0.00407822480657791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_701", + "improvement_over_parent": null + }, + "node_703": { + "node_id": "node_703", + "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.3680246641339, + "fos_buckling": 1.540465178203992, + "fos_yielding": 2.6475792999377363, + "deflection": 0.003962412460628406, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.357)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 106)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 0.61\n Max Deflection: 4.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.74094646264325, + "fos_buckling": 0.6122005744921379, + "fos_yielding": 2.1145416421874446, + "deflection": 0.004625254946153676, + "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: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 211.20 kg\n Factor of Safety: 1.31\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.2017021931445, + "fos_buckling": 1.3128453891935792, + "fos_yielding": 2.1870483041265087, + "deflection": 0.004800401130453084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002630)" + }, + "parent_node_id": "node_705", + "improvement_over_parent": null + }, + "node_707": { + "node_id": "node_707", + "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0039)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 213.26 kg\n Factor of Safety: 1.31\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.26340734392753, + "fos_buckling": 1.3126982796538573, + "fos_yielding": 2.187677681903809, + "deflection": 0.0047742727538692695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.255)" + }, + "parent_node_id": "node_706", + "improvement_over_parent": null + }, + "node_708": { + "node_id": "node_708", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0048)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 258.85 kg\n Factor of Safety: 1.54\n Max Deflection: 3.94e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.85472361315266, + "fos_buckling": 1.5416671971549407, + "fos_yielding": 2.6503393472139685, + "deflection": 0.003943296992047777, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_707", + "improvement_over_parent": null + }, + "node_709": { + "node_id": "node_709", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_708", + "improvement_over_parent": null + }, + "node_710": { + "node_id": "node_710", + "content": "INITIAL DESIGN (Trace 107)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 134.71 kg\n Factor of Safety: 0.61\n Max Deflection: 2.77e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.71085145626677, + "fos_buckling": 0.613568230931825, + "fos_yielding": 2.3616124037846213, + "deflection": 2767004999446.815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_711": { + "node_id": "node_711", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n\nPerformance:\n Mass: 139.78 kg\n Factor of Safety: 0.58\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.7827418810601, + "fos_buckling": 0.5769561318539067, + "fos_yielding": 1.4090894808977636, + "deflection": 0.007553546453738726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002272)" + }, + "parent_node_id": "node_710", + "improvement_over_parent": null + }, + "node_712": { + "node_id": "node_712", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n\nPerformance:\n Mass: 157.08 kg\n Factor of Safety: 0.64\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.0759058332337, + "fos_buckling": 0.6401211204288313, + "fos_yielding": 1.581986777897468, + "deflection": 0.006728224804546298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_711", + "improvement_over_parent": null + }, + "node_713": { + "node_id": "node_713", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 189.99 kg\n Factor of Safety: 0.76\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.99462570506373, + "fos_buckling": 0.755389177675473, + "fos_yielding": 1.910244084320777, + "deflection": 0.005572356542432229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_712", + "improvement_over_parent": null + }, + "node_714": { + "node_id": "node_714", + "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 193.71 kg\n Factor of Safety: 0.76\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.71293157869874, + "fos_buckling": 0.7553891776754732, + "fos_yielding": 1.9102440843207789, + "deflection": 0.00554363955054945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.453)" + }, + "parent_node_id": "node_713", + "improvement_over_parent": null + }, + "node_715": { + "node_id": "node_715", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0057)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 242.45 kg\n Factor of Safety: 0.91\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.45390883483606, + "fos_buckling": 0.9116976756772148, + "fos_yielding": 2.3864787703353945, + "deflection": 0.004438249873989362, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_714", + "improvement_over_parent": null + }, + "node_716": { + "node_id": "node_716", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0057)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 260.50 kg\n Factor of Safety: 1.26\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.4964450375837, + "fos_buckling": 1.2642236516407845, + "fos_yielding": 2.641715903860733, + "deflection": 0.003958618237261977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_715", + "improvement_over_parent": null + }, + "node_717": { + "node_id": "node_717", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_716", + "improvement_over_parent": null + }, + "node_718": { + "node_id": "node_718", + "content": "INITIAL DESIGN (Trace 108)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 173.73 kg\n Factor of Safety: 0.14\n Max Deflection: 4.26e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.72797517226982, + "fos_buckling": 0.13664384064572108, + "fos_yielding": 1.4222852115636375, + "deflection": 4263806449529.866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_719": { + "node_id": "node_719", + "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 174.94 kg\n Factor of Safety: 0.08\n Max Deflection: 4.43e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.94458256956955, + "fos_buckling": 0.07970890704333729, + "fos_yielding": 1.0178357347253721, + "deflection": 4427733416227.695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.462)" + }, + "parent_node_id": "node_718", + "improvement_over_parent": null + }, + "node_720": { + "node_id": "node_720", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 183.01 kg\n Factor of Safety: 0.52\n Max Deflection: 4.32e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.00569331525793, + "fos_buckling": 0.5195576854707211, + "fos_yielding": 2.124605413778435, + "deflection": 4323861919680.3955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002905)" + }, + "parent_node_id": "node_719", + "improvement_over_parent": null + }, + "node_721": { + "node_id": "node_721", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 199.95 kg\n Factor of Safety: 0.38\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": 199.9461844480162, + "fos_buckling": 0.3799206509268982, + "fos_yielding": 0.9884875276852507, + "deflection": 0.014201590572975736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003796)" + }, + "parent_node_id": "node_720", + "improvement_over_parent": null + }, + "node_722": { + "node_id": "node_722", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 221.32 kg\n Factor of Safety: 0.41\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": 221.31697655636677, + "fos_buckling": 0.41372267983586314, + "fos_yielding": 1.0942039077340422, + "deflection": 0.012844702345320801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_721", + "improvement_over_parent": null + }, + "node_723": { + "node_id": "node_723", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 229.05 kg\n Factor of Safety: 1.41\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.04556371410706, + "fos_buckling": 1.4067565825901565, + "fos_yielding": 2.372104759190612, + "deflection": 0.004428149078359382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003562)" + }, + "parent_node_id": "node_722", + "improvement_over_parent": null + }, + "node_724": { + "node_id": "node_724", + "content": "MODIFICATION: Increase 11 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0069)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 237.43 kg\n Factor of Safety: 1.40\n Max Deflection: 4.33e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.42981114071068, + "fos_buckling": 1.3996788409109397, + "fos_yielding": 2.3806966292321023, + "deflection": 0.004330480183586693, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.328)" + }, + "parent_node_id": "node_723", + "improvement_over_parent": null + }, + "node_725": { + "node_id": "node_725", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0078)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 265.16 kg\n Factor of Safety: 1.54\n Max Deflection: 3.88e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 265.16099826954667, + "fos_buckling": 1.535238584469214, + "fos_yielding": 2.6567152114198187, + "deflection": 0.003882723111974037, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 109)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 106.68 kg\n Factor of Safety: 0.28\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": 106.67558676939616, + "fos_buckling": 0.27801899390477575, + "fos_yielding": 1.1434691714249132, + "deflection": 15510626702271.877, + "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: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 117.89 kg\n Factor of Safety: 0.17\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": 117.88920901365685, + "fos_buckling": 0.17195783503620057, + "fos_yielding": 1.1261072095770115, + "deflection": 0.012162347731765265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002662)" + }, + "parent_node_id": "node_727", + "improvement_over_parent": null + }, + "node_729": { + "node_id": "node_729", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 150.84 kg\n Factor of Safety: 0.21\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.83735256740962, + "fos_buckling": 0.21319440387885655, + "fos_yielding": 1.4383315736820415, + "deflection": 0.009523962526527728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_728", + "improvement_over_parent": null + }, + "node_730": { + "node_id": "node_730", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 189.58 kg\n Factor of Safety: 0.26\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.58446755601332, + "fos_buckling": 0.2579129966623456, + "fos_yielding": 1.8041223689512265, + "deflection": 0.007594581846521432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_729", + "improvement_over_parent": null + }, + "node_731": { + "node_id": "node_731", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 208.67 kg\n Factor of Safety: 0.26\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.67421133082078, + "fos_buckling": 0.2577718511323842, + "fos_yielding": 1.8031350445000505, + "deflection": 0.006969956533660285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_730", + "improvement_over_parent": null + }, + "node_732": { + "node_id": "node_732", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 215.23 kg\n Factor of Safety: 0.26\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.2329995189704, + "fos_buckling": 0.25762652984175843, + "fos_yielding": 1.802118510263716, + "deflection": 0.007100255112131289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_731", + "improvement_over_parent": null + }, + "node_733": { + "node_id": "node_733", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 236.49 kg\n Factor of Safety: 0.67\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.48812560086253, + "fos_buckling": 0.6735951696920557, + "fos_yielding": 2.273165397117152, + "deflection": 0.005117903583754806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_732", + "improvement_over_parent": null + }, + "node_734": { + "node_id": "node_734", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.44 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4443096076781, + "fos_buckling": 1.5403079519154192, + "fos_yielding": 2.648114226772366, + "deflection": 0.003961423528906411, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_733", + "improvement_over_parent": null + }, + "node_735": { + "node_id": "node_735", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_734", + "improvement_over_parent": null + }, + "node_736": { + "node_id": "node_736", + "content": "INITIAL DESIGN (Trace 110)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 140.80 kg\n Factor of Safety: 0.04\n Max Deflection: 2.27e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.7967593833041, + "fos_buckling": 0.04252636137784736, + "fos_yielding": 0.5196592308085725, + "deflection": 22707810929022.156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_737": { + "node_id": "node_737", + "content": "MODIFICATION: Increase 15 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 142.07 kg\n Factor of Safety: 0.47\n Max Deflection: 2.07e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.06813538296592, + "fos_buckling": 0.4710628656153505, + "fos_yielding": 0.877583133377299, + "deflection": 20708671261597.633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.376)" + }, + "parent_node_id": "node_736", + "improvement_over_parent": null + }, + "node_738": { + "node_id": "node_738", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n\nPerformance:\n Mass: 155.45 kg\n Factor of Safety: 0.01\n Max Deflection: 2.62e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.45123378708206, + "fos_buckling": 0.010599101964736804, + "fos_yielding": 0.13384488475628825, + "deflection": 26176525141253.18, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003217)" + }, + "parent_node_id": "node_737", + "improvement_over_parent": null + }, + "node_739": { + "node_id": "node_739", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n\nPerformance:\n Mass: 162.57 kg\n Factor of Safety: 0.22\n Max Deflection: 1.51e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.56606302159256, + "fos_buckling": 0.2225811412594729, + "fos_yielding": 1.2596203959136518, + "deflection": 15138226584182.396, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003072)" + }, + "parent_node_id": "node_738", + "improvement_over_parent": null + }, + "node_740": { + "node_id": "node_740", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n\nPerformance:\n Mass: 178.15 kg\n Factor of Safety: 0.71\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.15427958667016, + "fos_buckling": 0.7110954596884098, + "fos_yielding": 1.7817906663084944, + "deflection": 0.005920046527731844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003472)" + }, + "parent_node_id": "node_739", + "improvement_over_parent": null + }, + "node_741": { + "node_id": "node_741", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 0.80\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.04116059722864, + "fos_buckling": 0.7987089772664068, + "fos_yielding": 2.0380429100458444, + "deflection": 0.005176400977350661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_740", + "improvement_over_parent": null + }, + "node_742": { + "node_id": "node_742", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 219.41 kg\n Factor of Safety: 1.35\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.4106444493624, + "fos_buckling": 1.3498518924728595, + "fos_yielding": 2.261122234584486, + "deflection": 0.004637702036935764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003727)" + }, + "parent_node_id": "node_741", + "improvement_over_parent": null + }, + "node_743": { + "node_id": "node_743", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.3658967174042, + "fos_buckling": 1.5400237104380465, + "fos_yielding": 2.6476758904791438, + "deflection": 0.003962410867776442, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_742", + "improvement_over_parent": null + }, + "node_744": { + "node_id": "node_744", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_743", + "improvement_over_parent": null + }, + "node_745": { + "node_id": "node_745", + "content": "INITIAL DESIGN (Trace 111)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 125.51 kg\n Factor of Safety: 0.27\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.5114907152274, + "fos_buckling": 0.2670640562375464, + "fos_yielding": 1.2908290104599385, + "deflection": 0.008712695301406897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_746": { + "node_id": "node_746", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 151.94 kg\n Factor of Safety: 0.32\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.9367519686199, + "fos_buckling": 0.317782765609001, + "fos_yielding": 1.5606154651607167, + "deflection": 0.0072073030789657514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_745", + "improvement_over_parent": null + }, + "node_747": { + "node_id": "node_747", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 174.92 kg\n Factor of Safety: 0.36\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.9187020105357, + "fos_buckling": 0.36032222424309973, + "fos_yielding": 1.7946813988519457, + "deflection": 0.00626788375005059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_746", + "improvement_over_parent": null + }, + "node_748": { + "node_id": "node_748", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 218.80 kg\n Factor of Safety: 0.44\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.8043903664224, + "fos_buckling": 0.43747868386182376, + "fos_yielding": 2.2401742043907826, + "deflection": 0.005022240324159574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_747", + "improvement_over_parent": null + }, + "node_749": { + "node_id": "node_749", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.14 kg\n Factor of Safety: 0.48\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.13502413828823, + "fos_buckling": 0.4779402863128085, + "fos_yielding": 2.486320300381941, + "deflection": 0.004525418279567996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_748", + "improvement_over_parent": null + }, + "node_750": { + "node_id": "node_750", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 253.11 kg\n Factor of Safety: 1.51\n Max Deflection: 4.00e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.10677753698388, + "fos_buckling": 1.5071378127594746, + "fos_yielding": 2.653299107750929, + "deflection": 0.0039980318263804805, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_749", + "improvement_over_parent": null + }, + "node_751": { + "node_id": "node_751", + "content": "MODIFICATION: Increase 14 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 256.82 kg\n Factor of Safety: 1.51\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.82306877953323, + "fos_buckling": 1.5098858937121542, + "fos_yielding": 2.637410729095336, + "deflection": 0.003960254524538628, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.307)" + }, + "parent_node_id": "node_750", + "improvement_over_parent": null + }, + "node_752": { + "node_id": "node_752", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_751", + "improvement_over_parent": null + }, + "node_753": { + "node_id": "node_753", + "content": "INITIAL DESIGN (Trace 112)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 166.55 kg\n Factor of Safety: 1.01\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.54671794200254, + "fos_buckling": 1.013275793918301, + "fos_yielding": 1.7415446299581385, + "deflection": 0.006065706433609342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_754": { + "node_id": "node_754", + "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 167.02 kg\n Factor of Safety: 1.00\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.01506675498524, + "fos_buckling": 0.9957074761409812, + "fos_yielding": 1.7417785734588969, + "deflection": 0.006049044271765021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.189)" + }, + "parent_node_id": "node_753", + "improvement_over_parent": null + }, + "node_755": { + "node_id": "node_755", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 208.33 kg\n Factor of Safety: 1.21\n Max Deflection: 4.86e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.33339229893608, + "fos_buckling": 1.2102635388847567, + "fos_yielding": 2.168263605879132, + "deflection": 0.004861256950617191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_754", + "improvement_over_parent": null + }, + "node_756": { + "node_id": "node_756", + "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 209.59 kg\n Factor of Safety: 1.30\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.59105742831943, + "fos_buckling": 1.3032805452437044, + "fos_yielding": 2.1687700793809506, + "deflection": 0.004839476407131382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.179)" + }, + "parent_node_id": "node_755", + "improvement_over_parent": null + }, + "node_757": { + "node_id": "node_757", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.38 kg\n Factor of Safety: 1.54\n Max Deflection: 3.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.3751925398156, + "fos_buckling": 1.5404407201747268, + "fos_yielding": 2.6470507934583205, + "deflection": 0.003967195669745877, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_756", + "improvement_over_parent": null + }, + "node_758": { + "node_id": "node_758", + "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.40 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.39795006859595, + "fos_buckling": 1.5401622521685427, + "fos_yielding": 2.6479745654267246, + "deflection": 0.003961925992842808, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.200)" + }, + "parent_node_id": "node_757", + "improvement_over_parent": null + }, + "node_759": { + "node_id": "node_759", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_758", + "improvement_over_parent": null + }, + "node_760": { + "node_id": "node_760", + "content": "INITIAL DESIGN (Trace 113)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 156.56 kg\n Factor of Safety: 0.79\n Max Deflection: 7.26e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.55767438985515, + "fos_buckling": 0.785231466802886, + "fos_yielding": 1.4191994844852132, + "deflection": 0.007256639157074622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_761": { + "node_id": "node_761", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n Mass: 159.71 kg\n Factor of Safety: 0.86\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.71269356910622, + "fos_buckling": 0.8615631162282059, + "fos_yielding": 1.4783493490420814, + "deflection": 0.006415727086003615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001864)" + }, + "parent_node_id": "node_760", + "improvement_over_parent": null + }, + "node_762": { + "node_id": "node_762", + "content": "MODIFICATION: Increase 11 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n Mass: 163.39 kg\n Factor of Safety: 0.88\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.38548288539604, + "fos_buckling": 0.8775927035128321, + "fos_yielding": 1.4772714148949873, + "deflection": 0.006348314222802676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.590)" + }, + "parent_node_id": "node_761", + "improvement_over_parent": null + }, + "node_763": { + "node_id": "node_763", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n Mass: 164.66 kg\n Factor of Safety: 0.85\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.65586452852963, + "fos_buckling": 0.8523801249521493, + "fos_yielding": 1.478892927077571, + "deflection": 0.006234098828422049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.250)" + }, + "parent_node_id": "node_762", + "improvement_over_parent": null + }, + "node_764": { + "node_id": "node_764", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0043)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n\nPerformance:\n Mass: 189.76 kg\n Factor of Safety: 0.97\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.7609236897296, + "fos_buckling": 0.9726193121936868, + "fos_yielding": 1.7057546435382167, + "deflection": 0.005415419366321637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_763", + "improvement_over_parent": null + }, + "node_765": { + "node_id": "node_765", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0041)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0049)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 215.57 kg\n Factor of Safety: 1.09\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.56992707211373, + "fos_buckling": 1.09349521588705, + "fos_yielding": 1.9395139277258802, + "deflection": 0.004772528350041412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_764", + "improvement_over_parent": null + }, + "node_766": { + "node_id": "node_766", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0050)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0061)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 260.93 kg\n Factor of Safety: 1.30\n Max Deflection: 3.95e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.9302718004146, + "fos_buckling": 1.2991727119348822, + "fos_yielding": 2.3518911869226713, + "deflection": 0.0039507278719338665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_765", + "improvement_over_parent": null + }, + "node_767": { + "node_id": "node_767", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_766", + "improvement_over_parent": null + }, + "node_768": { + "node_id": "node_768", + "content": "INITIAL DESIGN (Trace 114)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 205.30 kg\n Factor of Safety: 0.30\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": 205.29736818867983, + "fos_buckling": 0.29501378735009987, + "fos_yielding": 1.0512278240613102, + "deflection": 0.020785462943781, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_769": { + "node_id": "node_769", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n Mass: 210.93 kg\n Factor of Safety: 0.40\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": 210.927174639186, + "fos_buckling": 0.3953070754476952, + "fos_yielding": 1.253190985322727, + "deflection": 0.013085616831126579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002495)" + }, + "parent_node_id": "node_768", + "improvement_over_parent": null + }, + "node_770": { + "node_id": "node_770", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 248.95 kg\n Factor of Safety: 0.45\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": 248.9492813457898, + "fos_buckling": 0.45316911517210895, + "fos_yielding": 1.4754641641508655, + "deflection": 0.011114291322076877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_769", + "improvement_over_parent": null + }, + "node_771": { + "node_id": "node_771", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.58614487344335, + "fos_buckling": 1.541102829699395, + "fos_yielding": 2.649952273270686, + "deflection": 0.003959110769834936, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_770", + "improvement_over_parent": null + }, + "node_772": { + "node_id": "node_772", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_771", + "improvement_over_parent": null + }, + "node_773": { + "node_id": "node_773", + "content": "INITIAL DESIGN (Trace 115)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0011)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n Mass: 136.63 kg\n Factor of Safety: 0.81\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.6285224815708, + "fos_buckling": 0.8131748078306779, + "fos_yielding": 1.5258197552553279, + "deflection": 0.007076119533116065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_774": { + "node_id": "node_774", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 170.23 kg\n Factor of Safety: 0.99\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.23148411506588, + "fos_buckling": 0.9942278932138009, + "fos_yielding": 1.8972522546916333, + "deflection": 0.0056913304974519525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_773", + "improvement_over_parent": null + }, + "node_775": { + "node_id": "node_775", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n Mass: 174.79 kg\n Factor of Safety: 0.98\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.7887306841596, + "fos_buckling": 0.9797137588420721, + "fos_yielding": 1.8524384339952373, + "deflection": 0.005788512032555694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001806)" + }, + "parent_node_id": "node_774", + "improvement_over_parent": null + }, + "node_776": { + "node_id": "node_776", + "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n Mass: 175.79 kg\n Factor of Safety: 0.99\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.786705050816, + "fos_buckling": 0.9893889041235596, + "fos_yielding": 1.8495297183942911, + "deflection": 0.005756324587748584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.427)" + }, + "parent_node_id": "node_775", + "improvement_over_parent": null + }, + "node_777": { + "node_id": "node_777", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n Mass: 195.01 kg\n Factor of Safety: 1.09\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.00558206448113, + "fos_buckling": 1.0860011551283972, + "fos_yielding": 2.0496853771783545, + "deflection": 0.00519486707043779, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_776", + "improvement_over_parent": null + }, + "node_778": { + "node_id": "node_778", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 253.01 kg\n Factor of Safety: 1.36\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.0135919337015, + "fos_buckling": 1.3638559024170196, + "fos_yielding": 2.65133034143508, + "deflection": 0.004017482791767813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_777", + "improvement_over_parent": null + }, + "node_779": { + "node_id": "node_779", + "content": "MODIFICATION: Increase 20 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0035)]\n\nPerformance:\n Mass: 254.74 kg\n Factor of Safety: 1.36\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.7426097235331, + "fos_buckling": 1.3629991256578544, + "fos_yielding": 2.6440186465289397, + "deflection": 0.004025442628537907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.299)" + }, + "parent_node_id": "node_778", + "improvement_over_parent": null + }, + "node_780": { + "node_id": "node_780", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_779", + "improvement_over_parent": null + }, + "node_781": { + "node_id": "node_781", + "content": "INITIAL DESIGN (Trace 116)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 195.13 kg\n Factor of Safety: 0.60\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.1294970183393, + "fos_buckling": 0.6006953308833769, + "fos_yielding": 2.152572994614091, + "deflection": 0.006112257732304686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_782": { + "node_id": "node_782", + "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 0.60\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.11538072458706, + "fos_buckling": 0.6005419378625569, + "fos_yielding": 2.1520214887302607, + "deflection": 0.005918481026054724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.517)" + }, + "parent_node_id": "node_781", + "improvement_over_parent": null + }, + "node_783": { + "node_id": "node_783", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 234.61 kg\n Factor of Safety: 0.67\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.60576560186925, + "fos_buckling": 0.6724770326570265, + "fos_yielding": 2.46742374941333, + "deflection": 0.005158990433936087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_782", + "improvement_over_parent": null + }, + "node_784": { + "node_id": "node_784", + "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 236.20 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.1964497206291, + "fos_buckling": 0.6723255080830265, + "fos_yielding": 2.466865663985187, + "deflection": 0.00509469081406422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.248)" + }, + "parent_node_id": "node_783", + "improvement_over_parent": null + }, + "node_785": { + "node_id": "node_785", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.45 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.45157580252123, + "fos_buckling": 1.5399758644888193, + "fos_yielding": 2.6486596513749663, + "deflection": 0.003961098605046537, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_784", + "improvement_over_parent": null + }, + "node_786": { + "node_id": "node_786", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_785", + "improvement_over_parent": null + }, + "node_787": { + "node_id": "node_787", + "content": "INITIAL DESIGN (Trace 117)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 160.98 kg\n Factor of Safety: 0.07\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": 160.9793118217984, + "fos_buckling": 0.06819274325604147, + "fos_yielding": 0.8578307205313054, + "deflection": 0.014128287966520093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_788": { + "node_id": "node_788", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 188.60 kg\n Factor of Safety: 0.08\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": 188.596654697154, + "fos_buckling": 0.07818352850513194, + "fos_yielding": 1.0048511267022617, + "deflection": 0.012068890539078433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_787", + "improvement_over_parent": null + }, + "node_789": { + "node_id": "node_789", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n Mass: 197.03 kg\n Factor of Safety: 0.58\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.02765772634044, + "fos_buckling": 0.5830555001539489, + "fos_yielding": 1.9264317112980736, + "deflection": 0.006077306877320557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003049)" + }, + "parent_node_id": "node_788", + "improvement_over_parent": null + }, + "node_790": { + "node_id": "node_790", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 232.96 kg\n Factor of Safety: 0.67\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.9558414024121, + "fos_buckling": 0.6704290682666614, + "fos_yielding": 2.2731480085683122, + "deflection": 0.005149136326792854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_789", + "improvement_over_parent": null + }, + "node_791": { + "node_id": "node_791", + "content": "MODIFICATION: Increase 14 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 235.94 kg\n Factor of Safety: 0.66\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.94169200431446, + "fos_buckling": 0.6570435996673871, + "fos_yielding": 2.272565095607099, + "deflection": 0.005102491517219341, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.245)" + }, + "parent_node_id": "node_790", + "improvement_over_parent": null + }, + "node_792": { + "node_id": "node_792", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 256.90 kg\n Factor of Safety: 1.52\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.89787601113005, + "fos_buckling": 1.5161386469370637, + "fos_yielding": 2.6399378628630745, + "deflection": 0.003958082053074168, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_791", + "improvement_over_parent": null + }, + "node_793": { + "node_id": "node_793", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_792", + "improvement_over_parent": null + }, + "node_794": { + "node_id": "node_794", + "content": "INITIAL DESIGN (Trace 118)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 179.84 kg\n Factor of Safety: 0.91\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.84464525004987, + "fos_buckling": 0.9091463203866821, + "fos_yielding": 1.9210891769458924, + "deflection": 0.00566367289639616, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_795": { + "node_id": "node_795", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 210.73 kg\n Factor of Safety: 1.05\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.73190926939978, + "fos_buckling": 1.0526809251556521, + "fos_yielding": 2.2472071296951706, + "deflection": 0.00484161677308567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_794", + "improvement_over_parent": null + }, + "node_796": { + "node_id": "node_796", + "content": "MODIFICATION: Increase 15 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 214.99 kg\n Factor of Safety: 1.33\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.98765619733356, + "fos_buckling": 1.3268416278023933, + "fos_yielding": 2.2158891982256725, + "deflection": 0.004731908553888552, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.634)" + }, + "parent_node_id": "node_795", + "improvement_over_parent": null + }, + "node_797": { + "node_id": "node_797", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6600220281465, + "fos_buckling": 1.5414212081584104, + "fos_yielding": 2.6505486333006774, + "deflection": 0.00395795631731102, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_796", + "improvement_over_parent": null + }, + "node_798": { + "node_id": "node_798", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_797", + "improvement_over_parent": null + }, + "node_799": { + "node_id": "node_799", + "content": "INITIAL DESIGN (Trace 119)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 226.18 kg\n Factor of Safety: 0.66\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.1752949798084, + "fos_buckling": 0.6611950817897282, + "fos_yielding": 2.2759303108907183, + "deflection": 0.0053432944599105464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_800": { + "node_id": "node_800", + "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 0.66\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.64913575151834, + "fos_buckling": 0.6612105687059241, + "fos_yielding": 2.2758342009802335, + "deflection": 0.005286669210686239, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.395)" + }, + "parent_node_id": "node_799", + "improvement_over_parent": null + }, + "node_801": { + "node_id": "node_801", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 248.61 kg\n Factor of Safety: 1.28\n Max Deflection: 4.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.60531975833396, + "fos_buckling": 1.275549383594327, + "fos_yielding": 2.013842581710359, + "deflection": 0.004257657431803716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_800", + "improvement_over_parent": null + }, + "node_802": { + "node_id": "node_802", + "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 250.72 kg\n Factor of Safety: 1.32\n Max Deflection: 4.27e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.7152875330949, + "fos_buckling": 1.3203735157106382, + "fos_yielding": 2.0116189080325753, + "deflection": 0.004273446405004065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.404)" + }, + "parent_node_id": "node_801", + "improvement_over_parent": null + }, + "node_803": { + "node_id": "node_803", + "content": "MODIFICATION: Increase 15 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 254.33 kg\n Factor of Safety: 1.43\n Max Deflection: 4.21e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.32597240919745, + "fos_buckling": 1.4292240242511713, + "fos_yielding": 2.0155463413139927, + "deflection": 0.0042134310382798325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.391)" + }, + "parent_node_id": "node_802", + "improvement_over_parent": null + }, + "node_804": { + "node_id": "node_804", + "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5223069379924, + "fos_buckling": 1.5408346759372937, + "fos_yielding": 2.6494040499864453, + "deflection": 0.003960231987417364, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.597)" + }, + "parent_node_id": "node_803", + "improvement_over_parent": null + }, + "node_805": { + "node_id": "node_805", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_804", + "improvement_over_parent": null + }, + "node_806": { + "node_id": "node_806", + "content": "INITIAL DESIGN (Trace 120)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\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_807": { + "node_id": "node_807", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 198.07 kg\n Factor of Safety: 0.22\n Max Deflection: 9.33e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.06756659849805, + "fos_buckling": 0.22229466283207788, + "fos_yielding": 1.317798495876608, + "deflection": 0.009326950633509601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_806", + "improvement_over_parent": null + }, + "node_808": { + "node_id": "node_808", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 230.02 kg\n Factor of Safety: 0.59\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.01750897223556, + "fos_buckling": 0.5873258099405922, + "fos_yielding": 2.2755086266682247, + "deflection": 0.004986948342361851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_807", + "improvement_over_parent": null + }, + "node_809": { + "node_id": "node_809", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 250.97 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.97369297905118, + "fos_buckling": 1.4357596940923913, + "fos_yielding": 2.7181012658675088, + "deflection": 0.003888113461781927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_808", + "improvement_over_parent": null + }, + "node_810": { + "node_id": "node_810", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5324811672008, + "fos_buckling": 1.5408121629122211, + "fos_yielding": 2.649375361397789, + "deflection": 0.00395986457656333, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_809", + "improvement_over_parent": null + }, + "node_811": { + "node_id": "node_811", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_810", + "improvement_over_parent": null + }, + "node_812": { + "node_id": "node_812", + "content": "INITIAL DESIGN (Trace 121)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 134.25 kg\n Factor of Safety: 0.29\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": 134.2505753983474, + "fos_buckling": 0.28817395997476986, + "fos_yielding": 0.8745028550983591, + "deflection": 0.01949402502020703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_813": { + "node_id": "node_813", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n\nPerformance:\n Mass: 138.86 kg\n Factor of Safety: 0.29\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": 138.86418762508856, + "fos_buckling": 0.2880974713170052, + "fos_yielding": 0.8742712043254686, + "deflection": 0.019522171327099422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001838)" + }, + "parent_node_id": "node_812", + "improvement_over_parent": null + }, + "node_814": { + "node_id": "node_814", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n\nPerformance:\n Mass: 166.60 kg\n Factor of Safety: 0.34\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": 166.6036302359521, + "fos_buckling": 0.3382220524627465, + "fos_yielding": 1.0465824385306033, + "deflection": 0.016300523161091755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_813", + "improvement_over_parent": null + }, + "node_815": { + "node_id": "node_815", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n Mass: 172.70 kg\n Factor of Safety: 1.08\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.7036803087383, + "fos_buckling": 1.0812723215263877, + "fos_yielding": 1.8913936948975538, + "deflection": 0.005748359151670559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002762)" + }, + "parent_node_id": "node_814", + "improvement_over_parent": null + }, + "node_816": { + "node_id": "node_816", + "content": "MODIFICATION: Increase 17 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0047)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n Mass: 178.90 kg\n Factor of Safety: 1.07\n Max Deflection: 5.67e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.89823100397246, + "fos_buckling": 1.066286881014565, + "fos_yielding": 1.8922064011291928, + "deflection": 0.005672408027661352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.538)" + }, + "parent_node_id": "node_815", + "improvement_over_parent": null + }, + "node_817": { + "node_id": "node_817", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 227.26 kg\n Factor of Safety: 1.31\n Max Deflection: 4.47e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.25640662256868, + "fos_buckling": 1.3118271508549224, + "fos_yielding": 2.399265924682801, + "deflection": 0.00447479642205758, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_816", + "improvement_over_parent": null + }, + "node_818": { + "node_id": "node_818", + "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0038)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 230.27 kg\n Factor of Safety: 1.31\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.2725478119011, + "fos_buckling": 1.314001555176933, + "fos_yielding": 2.390982713564248, + "deflection": 0.004486449400636632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.587)" + }, + "parent_node_id": "node_817", + "improvement_over_parent": null + }, + "node_819": { + "node_id": "node_819", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0042)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0068)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 256.33 kg\n Factor of Safety: 1.44\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.3331734432017, + "fos_buckling": 1.4376518219442678, + "fos_yielding": 2.6598002900168076, + "deflection": 0.004033628652587512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_818", + "improvement_over_parent": null + }, + "node_820": { + "node_id": "node_820", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_819", + "improvement_over_parent": null + }, + "node_821": { + "node_id": "node_821", + "content": "INITIAL DESIGN (Trace 122)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 158.33 kg\n Factor of Safety: 0.29\n Max Deflection: 7.83e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.3265324574419, + "fos_buckling": 0.28719478872347093, + "fos_yielding": 0.877583133377299, + "deflection": 7829993901824.863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_822": { + "node_id": "node_822", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 172.93 kg\n Factor of Safety: 0.38\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": 172.93128840807452, + "fos_buckling": 0.3817831972775787, + "fos_yielding": 1.294613890926523, + "deflection": 0.01558606418915418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003533)" + }, + "parent_node_id": "node_821", + "improvement_over_parent": null + }, + "node_823": { + "node_id": "node_823", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 213.21 kg\n Factor of Safety: 0.45\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": 213.20730617936738, + "fos_buckling": 0.45403931572347533, + "fos_yielding": 1.591492627017913, + "deflection": 0.012664970994418814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_822", + "improvement_over_parent": null + }, + "node_824": { + "node_id": "node_824", + "content": "MODIFICATION: Increase 15 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 218.89 kg\n Factor of Safety: 0.45\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": 218.89212472843144, + "fos_buckling": 0.4538175252223398, + "fos_yielding": 1.5905440745158703, + "deflection": 0.012303868213041854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.504)" + }, + "parent_node_id": "node_823", + "improvement_over_parent": null + }, + "node_825": { + "node_id": "node_825", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 240.15 kg\n Factor of Safety: 0.45\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": 240.14725081032358, + "fos_buckling": 0.4535414087920977, + "fos_yielding": 1.4766084106698079, + "deflection": 0.012142632787080098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_824", + "improvement_over_parent": null + }, + "node_826": { + "node_id": "node_826", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 246.71 kg\n Factor of Safety: 0.45\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": 246.7060389984732, + "fos_buckling": 0.45328610070935105, + "fos_yielding": 1.4757799399703135, + "deflection": 0.011464611688632585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_825", + "improvement_over_parent": null + }, + "node_827": { + "node_id": "node_827", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 248.95 kg\n Factor of Safety: 0.45\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": 248.9511894814165, + "fos_buckling": 0.4531696695986175, + "fos_yielding": 1.475402121830697, + "deflection": 0.011114508622270463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.319)" + }, + "parent_node_id": "node_826", + "improvement_over_parent": null + }, + "node_828": { + "node_id": "node_828", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.58805300907005, + "fos_buckling": 1.5411099744567276, + "fos_yielding": 2.6499344162199443, + "deflection": 0.00395911831649113, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_827", + "improvement_over_parent": null + }, + "node_829": { + "node_id": "node_829", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_828", + "improvement_over_parent": null + }, + "node_830": { + "node_id": "node_830", + "content": "INITIAL DESIGN (Trace 123)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 161.35 kg\n Factor of Safety: 0.91\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.34531334692517, + "fos_buckling": 0.9102134022009609, + "fos_yielding": 1.6737965995213318, + "deflection": 0.006295391865589361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_831": { + "node_id": "node_831", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 205.51 kg\n Factor of Safety: 1.14\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.51386066011028, + "fos_buckling": 1.136702884388483, + "fos_yielding": 2.127676904700149, + "deflection": 0.0049545584554127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_830", + "improvement_over_parent": null + }, + "node_832": { + "node_id": "node_832", + "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 207.49 kg\n Factor of Safety: 1.29\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.48791756264302, + "fos_buckling": 1.2875092759595865, + "fos_yielding": 2.139439556203551, + "deflection": 0.0049007951474806756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.350)" + }, + "parent_node_id": "node_831", + "improvement_over_parent": null + }, + "node_833": { + "node_id": "node_833", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.38 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.3811397499001, + "fos_buckling": 1.5401104317667875, + "fos_yielding": 2.647856006038897, + "deflection": 0.0039621586629060455, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_832", + "improvement_over_parent": null + }, + "node_834": { + "node_id": "node_834", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_833", + "improvement_over_parent": null + }, + "node_835": { + "node_id": "node_835", + "content": "INITIAL DESIGN (Trace 124)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 201.76 kg\n Factor of Safety: 0.59\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.7574709304623, + "fos_buckling": 0.5878555570754815, + "fos_yielding": 2.0027223238415774, + "deflection": 0.00593488033118704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_836": { + "node_id": "node_836", + "content": "MODIFICATION: Increase 15 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 0.58\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.7419820164915, + "fos_buckling": 0.5795695161198585, + "fos_yielding": 2.0022081068841797, + "deflection": 0.005844767352528041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.355)" + }, + "parent_node_id": "node_835", + "improvement_over_parent": null + }, + "node_837": { + "node_id": "node_837", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 232.92 kg\n Factor of Safety: 0.65\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.9202375997497, + "fos_buckling": 0.649394477750021, + "fos_yielding": 2.2741908779512703, + "deflection": 0.0051448675056311064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_836", + "improvement_over_parent": null + }, + "node_838": { + "node_id": "node_838", + "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 234.29 kg\n Factor of Safety: 0.65\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.2934770756142, + "fos_buckling": 0.649486742015388, + "fos_yielding": 2.274101449124653, + "deflection": 0.005134951550566337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.451)" + }, + "parent_node_id": "node_837", + "improvement_over_parent": null + }, + "node_839": { + "node_id": "node_839", + "content": "MODIFICATION: Increase 16 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 235.25 kg\n Factor of Safety: 0.68\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.25175328604374, + "fos_buckling": 0.6757918334187442, + "fos_yielding": 2.273914255787887, + "deflection": 0.005144613838056371, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.188)" + }, + "parent_node_id": "node_838", + "improvement_over_parent": null + }, + "node_840": { + "node_id": "node_840", + "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 236.53 kg\n Factor of Safety: 0.67\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.53358870303214, + "fos_buckling": 0.6737299304472929, + "fos_yielding": 2.2738307995120013, + "deflection": 0.005116583538124046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.199)" + }, + "parent_node_id": "node_839", + "improvement_over_parent": null + }, + "node_841": { + "node_id": "node_841", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.49 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4897727098477, + "fos_buckling": 1.5405824631050442, + "fos_yielding": 2.648909168189677, + "deflection": 0.003960491187885494, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_840", + "improvement_over_parent": null + }, + "node_842": { + "node_id": "node_842", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_841", + "improvement_over_parent": null + }, + "node_843": { + "node_id": "node_843", + "content": "INITIAL DESIGN (Trace 125)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 169.28 kg\n Factor of Safety: 0.56\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.28026228412745, + "fos_buckling": 0.557443949683679, + "fos_yielding": 1.9015459603158709, + "deflection": 0.007211001437379127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_844": { + "node_id": "node_844", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 186.15 kg\n Factor of Safety: 0.75\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.15300834090218, + "fos_buckling": 0.7521553950428195, + "fos_yielding": 1.900625169038781, + "deflection": 0.006166182691025039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003749)" + }, + "parent_node_id": "node_843", + "improvement_over_parent": null + }, + "node_845": { + "node_id": "node_845", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 200.48 kg\n Factor of Safety: 0.96\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.47518622266037, + "fos_buckling": 0.9595587920394013, + "fos_yielding": 1.9306846209500816, + "deflection": 0.005629028986776195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003454)" + }, + "parent_node_id": "node_844", + "improvement_over_parent": null + }, + "node_846": { + "node_id": "node_846", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 252.52 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.51929478913155, + "fos_buckling": 1.1627033777807676, + "fos_yielding": 2.4263661498779734, + "deflection": 0.004482392714416799, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5225213977979, + "fos_buckling": 1.5407958822012155, + "fos_yielding": 2.649312836943046, + "deflection": 0.00396000237661997, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_846", + "improvement_over_parent": null + }, + "node_848": { + "node_id": "node_848", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_847", + "improvement_over_parent": null + }, + "node_849": { + "node_id": "node_849", + "content": "INITIAL DESIGN (Trace 126)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 121.72 kg\n Factor of Safety: 0.06\n Max Deflection: 7.46e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.72297073043272, + "fos_buckling": 0.06496276470804663, + "fos_yielding": 0.7902287449861374, + "deflection": 7455328059274.919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_850": { + "node_id": "node_850", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n\nPerformance:\n Mass: 126.72 kg\n Factor of Safety: 0.47\n Max Deflection: 9.06e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.72412633229348, + "fos_buckling": 0.471660740241788, + "fos_yielding": 1.3239490365537705, + "deflection": 0.009061646364785224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002117)" + }, + "parent_node_id": "node_849", + "improvement_over_parent": null + }, + "node_851": { + "node_id": "node_851", + "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n\nPerformance:\n Mass: 127.93 kg\n Factor of Safety: 0.47\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.92789522443411, + "fos_buckling": 0.47162445877007964, + "fos_yielding": 1.3237655574759482, + "deflection": 0.008904637774835527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.244)" + }, + "parent_node_id": "node_850", + "improvement_over_parent": null + }, + "node_852": { + "node_id": "node_852", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n\nPerformance:\n Mass: 161.26 kg\n Factor of Safety: 0.58\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.26102708564068, + "fos_buckling": 0.584828650941513, + "fos_yielding": 1.665984238596988, + "deflection": 0.007078543201629852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_851", + "improvement_over_parent": null + }, + "node_853": { + "node_id": "node_853", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n\nPerformance:\n Mass: 182.83 kg\n Factor of Safety: 0.66\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.82895907328341, + "fos_buckling": 0.6559124513093036, + "fos_yielding": 1.8868296582011999, + "deflection": 0.0062518117752915605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_852", + "improvement_over_parent": null + }, + "node_854": { + "node_id": "node_854", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0038)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n\nPerformance:\n Mass: 209.20 kg\n Factor of Safety: 0.74\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.19909854161656, + "fos_buckling": 0.7404964720966233, + "fos_yielding": 2.156229373490249, + "deflection": 0.00547265382615024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_853", + "improvement_over_parent": null + }, + "node_855": { + "node_id": "node_855", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0046)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 244.97 kg\n Factor of Safety: 0.85\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.9682511296772, + "fos_buckling": 0.8511046241069177, + "fos_yielding": 2.5205748602787494, + "deflection": 0.00468390915941166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_854", + "improvement_over_parent": null + }, + "node_856": { + "node_id": "node_856", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0046)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 258.72 kg\n Factor of Safety: 1.53\n Max Deflection: 3.92e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.7177195958646, + "fos_buckling": 1.5304045355746332, + "fos_yielding": 2.6566068647068644, + "deflection": 0.00391566290438402, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_855", + "improvement_over_parent": null + }, + "node_857": { + "node_id": "node_857", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_856", + "improvement_over_parent": null + }, + "node_858": { + "node_id": "node_858", + "content": "INITIAL DESIGN (Trace 127)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 164.19 kg\n Factor of Safety: 0.67\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.18642607683424, + "fos_buckling": 0.6702557626808163, + "fos_yielding": 1.6660004968605464, + "deflection": 0.006384199481637221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_859": { + "node_id": "node_859", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n Mass: 176.72 kg\n Factor of Safety: 1.01\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.72371411957045, + "fos_buckling": 1.005374807528296, + "fos_yielding": 1.8623467652578818, + "deflection": 0.005745197914728766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002996)" + }, + "parent_node_id": "node_858", + "improvement_over_parent": null + }, + "node_860": { + "node_id": "node_860", + "content": "MODIFICATION: Increase 15 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n Mass: 178.98 kg\n Factor of Safety: 1.13\n Max Deflection: 5.67e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.97696825701016, + "fos_buckling": 1.1333355801901677, + "fos_yielding": 1.8479488425290886, + "deflection": 0.0056720874011013216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.328)" + }, + "parent_node_id": "node_859", + "improvement_over_parent": null + }, + "node_861": { + "node_id": "node_861", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 223.81 kg\n Factor of Safety: 1.37\n Max Deflection: 4.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.80520952006194, + "fos_buckling": 1.372556715291026, + "fos_yielding": 2.3060689794391296, + "deflection": 0.004547726481923997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_860", + "improvement_over_parent": null + }, + "node_862": { + "node_id": "node_862", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.82 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.822036356139, + "fos_buckling": 1.5422725591468587, + "fos_yielding": 2.652451508506053, + "deflection": 0.003955449400981559, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_861", + "improvement_over_parent": null + }, + "node_863": { + "node_id": "node_863", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_862", + "improvement_over_parent": null + }, + "node_864": { + "node_id": "node_864", + "content": "INITIAL DESIGN (Trace 128)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 195.33 kg\n Factor of Safety: 0.54\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.3274454326477, + "fos_buckling": 0.5368438849836874, + "fos_yielding": 2.044193279236575, + "deflection": 0.005215795636894931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_865": { + "node_id": "node_865", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n\nPerformance:\n Mass: 201.21 kg\n Factor of Safety: 0.53\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.21028214494413, + "fos_buckling": 0.5334183292079927, + "fos_yielding": 2.0431583036319267, + "deflection": 0.005677195090917397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002376)" + }, + "parent_node_id": "node_864", + "improvement_over_parent": null + }, + "node_866": { + "node_id": "node_866", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n Mass: 208.24 kg\n Factor of Safety: 0.60\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.238727290007, + "fos_buckling": 0.596013979777635, + "fos_yielding": 2.0423347037405266, + "deflection": 0.005819657208260709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002881)" + }, + "parent_node_id": "node_865", + "improvement_over_parent": null + }, + "node_867": { + "node_id": "node_867", + "content": "MODIFICATION: Increase 15 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0059)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n Mass: 215.34 kg\n Factor of Safety: 0.60\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.34454179645334, + "fos_buckling": 0.5962115299804533, + "fos_yielding": 2.0410869708028008, + "deflection": 0.005550680554347426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.499)" + }, + "parent_node_id": "node_866", + "improvement_over_parent": null + }, + "node_868": { + "node_id": "node_868", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0066)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 239.92 kg\n Factor of Safety: 0.65\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.92311220006346, + "fos_buckling": 0.65257505099639, + "fos_yielding": 2.272335132768249, + "deflection": 0.004987451959486879, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_867", + "improvement_over_parent": null + }, + "node_869": { + "node_id": "node_869", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0066)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 260.88 kg\n Factor of Safety: 1.27\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.8792962068791, + "fos_buckling": 1.2738537664884377, + "fos_yielding": 2.6710838086501076, + "deflection": 0.00400006669679895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_868", + "improvement_over_parent": null + }, + "node_870": { + "node_id": "node_870", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_869", + "improvement_over_parent": null + }, + "node_871": { + "node_id": "node_871", + "content": "INITIAL DESIGN (Trace 129)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0012)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 140.48 kg\n Factor of Safety: 0.71\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.47917951231165, + "fos_buckling": 0.7141922052276312, + "fos_yielding": 1.5053844253740227, + "deflection": 0.007237701840069273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_872": { + "node_id": "node_872", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 183.74 kg\n Factor of Safety: 0.92\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.7435709001595, + "fos_buckling": 0.9192497662269519, + "fos_yielding": 1.9643514212911048, + "deflection": 0.005546460374329011, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_871", + "improvement_over_parent": null + }, + "node_873": { + "node_id": "node_873", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 211.53 kg\n Factor of Safety: 1.05\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.534899248053, + "fos_buckling": 1.0472462751288496, + "fos_yielding": 2.2579960890945707, + "deflection": 0.004824981778826561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_872", + "improvement_over_parent": null + }, + "node_874": { + "node_id": "node_874", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.23 kg\n Factor of Safety: 1.23\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.23284585629887, + "fos_buckling": 1.229403703756866, + "fos_yielding": 2.6863297357888145, + "deflection": 0.004055305349533579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_873", + "improvement_over_parent": null + }, + "node_875": { + "node_id": "node_875", + "content": "MODIFICATION: Increase 15 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.38 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.38451319604053, + "fos_buckling": 1.5401556519251711, + "fos_yielding": 2.6480266410685243, + "deflection": 0.003962085736464587, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.658)" + }, + "parent_node_id": "node_874", + "improvement_over_parent": null + }, + "node_876": { + "node_id": "node_876", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_875", + "improvement_over_parent": null + }, + "node_877": { + "node_id": "node_877", + "content": "INITIAL DESIGN (Trace 130)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0017)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 135.84 kg\n Factor of Safety: 0.74\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.84389757206708, + "fos_buckling": 0.7434207999295125, + "fos_yielding": 1.1032708661593051, + "deflection": 0.008112580959507105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_878": { + "node_id": "node_878", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 165.98 kg\n Factor of Safety: 0.89\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.98160803202535, + "fos_buckling": 0.8868684143060117, + "fos_yielding": 1.351720437407738, + "deflection": 0.006647188892636679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_877", + "improvement_over_parent": null + }, + "node_879": { + "node_id": "node_879", + "content": "MODIFICATION: Increase 16 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 170.08 kg\n Factor of Safety: 0.89\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.07500073570455, + "fos_buckling": 0.8866958544118472, + "fos_yielding": 1.3923068831282936, + "deflection": 0.0065658579975446845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.486)" + }, + "parent_node_id": "node_878", + "improvement_over_parent": null + }, + "node_880": { + "node_id": "node_880", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n\nPerformance:\n Mass: 180.34 kg\n Factor of Safety: 1.06\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.3376775978101, + "fos_buckling": 1.0601158702895994, + "fos_yielding": 1.4035593960807404, + "deflection": 0.005901254945390845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002351)" + }, + "parent_node_id": "node_879", + "improvement_over_parent": null + }, + "node_881": { + "node_id": "node_881", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n Mass: 225.10 kg\n Factor of Safety: 1.28\n Max Deflection: 4.74e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.1038968926347, + "fos_buckling": 1.284000093391224, + "fos_yielding": 1.757908695169241, + "deflection": 0.004735510536364997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_880", + "improvement_over_parent": null + }, + "node_882": { + "node_id": "node_882", + "content": "MODIFICATION: Increase 14 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n Mass: 229.19 kg\n Factor of Safety: 1.23\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.19098218618532, + "fos_buckling": 1.2259961668355799, + "fos_yielding": 1.7603722318122295, + "deflection": 0.00468478633442168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.370)" + }, + "parent_node_id": "node_881", + "improvement_over_parent": null + }, + "node_883": { + "node_id": "node_883", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0053)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n Mass: 253.58 kg\n Factor of Safety: 1.34\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.5830861516853, + "fos_buckling": 1.3424872238497374, + "fos_yielding": 1.952035253583781, + "deflection": 0.004237314211381809, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_882", + "improvement_over_parent": null + }, + "node_884": { + "node_id": "node_884", + "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0053)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n Mass: 256.98 kg\n Factor of Safety: 1.50\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.98223029791137, + "fos_buckling": 1.5046251070847532, + "fos_yielding": 2.6366858707335212, + "deflection": 0.003960276729723591, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.658)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 131)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 141.83 kg\n Factor of Safety: 0.93\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.83180801165724, + "fos_buckling": 0.9329622906398558, + "fos_yielding": 1.3691961592798774, + "deflection": 0.007182754108469375, + "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 all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 167.70 kg\n Factor of Safety: 1.09\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.6984371106826, + "fos_buckling": 1.0909737011064395, + "fos_yielding": 1.6207426035571808, + "deflection": 0.006083522596422951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_886", + "improvement_over_parent": null + }, + "node_888": { + "node_id": "node_888", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 169.08 kg\n Factor of Safety: 1.08\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.08268604931834, + "fos_buckling": 1.0780873265837962, + "fos_yielding": 1.7464883787574248, + "deflection": 0.006000605418148418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.357)" + }, + "parent_node_id": "node_887", + "improvement_over_parent": null + }, + "node_889": { + "node_id": "node_889", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 221.19 kg\n Factor of Safety: 1.36\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.19024812406644, + "fos_buckling": 1.359022737534658, + "fos_yielding": 2.2792783874802676, + "deflection": 0.0046008252600116695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_888", + "improvement_over_parent": null + }, + "node_890": { + "node_id": "node_890", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.63 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.634392841936, + "fos_buckling": 1.5412920127175112, + "fos_yielding": 2.650407826321798, + "deflection": 0.003958311944156008, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_889", + "improvement_over_parent": null + }, + "node_891": { + "node_id": "node_891", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_890", + "improvement_over_parent": null + }, + "node_892": { + "node_id": "node_892", + "content": "INITIAL DESIGN (Trace 132)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 191.52 kg\n Factor of Safety: 0.78\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.51864547901258, + "fos_buckling": 0.7810610679656651, + "fos_yielding": 1.9983563263739015, + "deflection": 0.006103127925526603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_893": { + "node_id": "node_893", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 193.03 kg\n Factor of Safety: 0.78\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.0310678746849, + "fos_buckling": 0.7810044146926941, + "fos_yielding": 1.9980962085081497, + "deflection": 0.00598983585605582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.305)" + }, + "parent_node_id": "node_892", + "improvement_over_parent": null + }, + "node_894": { + "node_id": "node_894", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.27\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.91793720009264, + "fos_buckling": 1.2686224923202027, + "fos_yielding": 2.1030506748070557, + "deflection": 0.004985840267857812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003007)" + }, + "parent_node_id": "node_893", + "improvement_over_parent": null + }, + "node_895": { + "node_id": "node_895", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.59812076686126, + "fos_buckling": 1.5411921636151351, + "fos_yielding": 2.6501588217520626, + "deflection": 0.003959083881539527, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_894", + "improvement_over_parent": null + }, + "node_896": { + "node_id": "node_896", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_895", + "improvement_over_parent": null + }, + "node_897": { + "node_id": "node_897", + "content": "INITIAL DESIGN (Trace 133)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 174.23 kg\n Factor of Safety: 0.68\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.22820902949707, + "fos_buckling": 0.6845813240142665, + "fos_yielding": 1.6168710904510217, + "deflection": 0.0073592369054549436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_898": { + "node_id": "node_898", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 200.68 kg\n Factor of Safety: 0.77\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.68416578695542, + "fos_buckling": 0.7719191086738714, + "fos_yielding": 1.8626806820276238, + "deflection": 0.006399366394532192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_897", + "improvement_over_parent": null + }, + "node_899": { + "node_id": "node_899", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 201.99 kg\n Factor of Safety: 0.77\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.98882973595192, + "fos_buckling": 0.7718165528779776, + "fos_yielding": 2.2064193525540827, + "deflection": 0.006252351689629096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.200)" + }, + "parent_node_id": "node_898", + "improvement_over_parent": null + }, + "node_900": { + "node_id": "node_900", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n Mass: 206.12 kg\n Factor of Safety: 0.94\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.1177867044125, + "fos_buckling": 0.9361529092946191, + "fos_yielding": 2.206158231329058, + "deflection": 0.005463215085863686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002570)" + }, + "parent_node_id": "node_899", + "improvement_over_parent": null + }, + "node_901": { + "node_id": "node_901", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 218.15 kg\n Factor of Safety: 1.32\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.15414815164797, + "fos_buckling": 1.3207163575042664, + "fos_yielding": 2.3343270837328944, + "deflection": 0.0045987477558184974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003351)" + }, + "parent_node_id": "node_900", + "improvement_over_parent": null + }, + "node_902": { + "node_id": "node_902", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 249.21 kg\n Factor of Safety: 1.47\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.2137573615609, + "fos_buckling": 1.4740558816981009, + "fos_yielding": 2.661797033559956, + "deflection": 0.004033416485767458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_901", + "improvement_over_parent": null + }, + "node_903": { + "node_id": "node_903", + "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 251.59 kg\n Factor of Safety: 1.48\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.59317146036096, + "fos_buckling": 1.4812363764751484, + "fos_yielding": 2.6677704853274067, + "deflection": 0.0040447433579668185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.346)" + }, + "parent_node_id": "node_902", + "improvement_over_parent": null + }, + "node_904": { + "node_id": "node_904", + "content": "MODIFICATION: Increase 14 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 254.11 kg\n Factor of Safety: 1.48\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.10617466530678, + "fos_buckling": 1.4819788768363495, + "fos_yielding": 2.6601060412178597, + "deflection": 0.004052802614533172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.441)" + }, + "parent_node_id": "node_903", + "improvement_over_parent": null + }, + "node_905": { + "node_id": "node_905", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_904", + "improvement_over_parent": null + }, + "node_906": { + "node_id": "node_906", + "content": "INITIAL DESIGN (Trace 134)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0013)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n Mass: 101.47 kg\n Factor of Safety: 0.04\n Max Deflection: 6.47e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.47021661028775, + "fos_buckling": 0.03655703220035809, + "fos_yielding": 0.07842726988467624, + "deflection": 64740063680535.68, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_907": { + "node_id": "node_907", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0016)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 126.68 kg\n Factor of Safety: 0.14\n Max Deflection: 1.22e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.6835071662945, + "fos_buckling": 0.14325187666230627, + "fos_yielding": 0.7853243433606008, + "deflection": 12178225057937.879, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_906", + "improvement_over_parent": null + }, + "node_908": { + "node_id": "node_908", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 154.44 kg\n Factor of Safety: 0.07\n Max Deflection: 2.76e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.43738250590272, + "fos_buckling": 0.07120048869513655, + "fos_yielding": 0.25851423526328204, + "deflection": 27605396725317.934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_907", + "improvement_over_parent": null + }, + "node_909": { + "node_id": "node_909", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 156.60 kg\n Factor of Safety: 0.06\n Max Deflection: 2.02e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.59516520130836, + "fos_buckling": 0.06102899031011705, + "fos_yielding": 0.6141934351227872, + "deflection": 20169721296331.23, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.495)" + }, + "parent_node_id": "node_908", + "improvement_over_parent": null + }, + "node_910": { + "node_id": "node_910", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 194.32 kg\n Factor of Safety: 0.34\n Max Deflection: 5.83e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.31978937371687, + "fos_buckling": 0.34305507721000633, + "fos_yielding": 1.4101710783899684, + "deflection": 5834109576734.507, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_909", + "improvement_over_parent": null + }, + "node_911": { + "node_id": "node_911", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 220.67 kg\n Factor of Safety: 0.10\n Max Deflection: 1.69e+13 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.67065391390187, + "fos_buckling": 0.09533991505192042, + "fos_yielding": 0.5497999407062967, + "deflection": 16860579594046.637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_910", + "improvement_over_parent": null + }, + "node_912": { + "node_id": "node_912", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 225.67 kg\n Factor of Safety: 0.27\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.6738805225682, + "fos_buckling": 0.26772553000962557, + "fos_yielding": 1.4546197540417078, + "deflection": 0.008131572279716278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_911", + "improvement_over_parent": null + }, + "node_913": { + "node_id": "node_913", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.62 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6238228963057, + "fos_buckling": 1.5408565624889627, + "fos_yielding": 2.650440600954123, + "deflection": 0.003958254536615419, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_912", + "improvement_over_parent": null + }, + "node_914": { + "node_id": "node_914", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_913", + "improvement_over_parent": null + }, + "node_915": { + "node_id": "node_915", + "content": "INITIAL DESIGN (Trace 135)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 161.89 kg\n Factor of Safety: 0.67\n Max Deflection: 6.74e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.89354786913694, + "fos_buckling": 0.6669803114904486, + "fos_yielding": 1.7845348759858939, + "deflection": 0.006741119405136868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_916": { + "node_id": "node_916", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 190.99 kg\n Factor of Safety: 0.77\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.98578710901836, + "fos_buckling": 0.7687968305226953, + "fos_yielding": 2.1023029861717752, + "deflection": 0.005724260596906317, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_915", + "improvement_over_parent": null + }, + "node_917": { + "node_id": "node_917", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.52 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.52134918812098, + "fos_buckling": 0.9266569015041444, + "fos_yielding": 2.630493700110717, + "deflection": 0.00457761586686332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_916", + "improvement_over_parent": null + }, + "node_918": { + "node_id": "node_918", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.51071375478085, + "fos_buckling": 1.5407314968017007, + "fos_yielding": 2.6491670155740734, + "deflection": 0.003960196076985296, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_917", + "improvement_over_parent": null + }, + "node_919": { + "node_id": "node_919", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_918", + "improvement_over_parent": null + }, + "node_920": { + "node_id": "node_920", + "content": "INITIAL DESIGN (Trace 136)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 161.81 kg\n Factor of Safety: 0.56\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.81486239368763, + "fos_buckling": 0.5561275441031073, + "fos_yielding": 1.7543316311723463, + "deflection": 0.00809385197395724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_921": { + "node_id": "node_921", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n\nPerformance:\n Mass: 167.46 kg\n Factor of Safety: 0.70\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.46048756385613, + "fos_buckling": 0.7049587277199728, + "fos_yielding": 1.753390315730053, + "deflection": 0.007153474563059455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002276)" + }, + "parent_node_id": "node_920", + "improvement_over_parent": null + }, + "node_922": { + "node_id": "node_922", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 189.26 kg\n Factor of Safety: 0.78\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.2590976136824, + "fos_buckling": 0.7825036300826101, + "fos_yielding": 1.9795210898940658, + "deflection": 0.006337505625751598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_921", + "improvement_over_parent": null + }, + "node_923": { + "node_id": "node_923", + "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 190.58 kg\n Factor of Safety: 0.78\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.5816783898128, + "fos_buckling": 0.7823264608598551, + "fos_yielding": 1.9794382345696395, + "deflection": 0.006270030516539623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.269)" + }, + "parent_node_id": "node_922", + "improvement_over_parent": null + }, + "node_924": { + "node_id": "node_924", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 194.65 kg\n Factor of Safety: 0.78\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.65424342722815, + "fos_buckling": 0.7822355671038678, + "fos_yielding": 2.1378536454764427, + "deflection": 0.005607958102933798, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002447)" + }, + "parent_node_id": "node_923", + "improvement_over_parent": null + }, + "node_925": { + "node_id": "node_925", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 209.30 kg\n Factor of Safety: 1.21\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.29738804058334, + "fos_buckling": 1.2093397231688785, + "fos_yielding": 2.1528837151312787, + "deflection": 0.004884094112675903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003543)" + }, + "parent_node_id": "node_924", + "improvement_over_parent": null + }, + "node_926": { + "node_id": "node_926", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0038)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.32 kg\n Factor of Safety: 1.45\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.3162615030329, + "fos_buckling": 1.4510553641032404, + "fos_yielding": 2.641379924687361, + "deflection": 0.003982905919940291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_925", + "improvement_over_parent": null + }, + "node_927": { + "node_id": "node_927", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_926", + "improvement_over_parent": null + }, + "node_928": { + "node_id": "node_928", + "content": "INITIAL DESIGN (Trace 137)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 198.29 kg\n Factor of Safety: 0.82\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.2912407941278, + "fos_buckling": 0.8242870266652358, + "fos_yielding": 2.1079510617811033, + "deflection": 0.005883403293284246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_929": { + "node_id": "node_929", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n Mass: 214.84 kg\n Factor of Safety: 0.82\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.84014484060103, + "fos_buckling": 0.8238986118439259, + "fos_yielding": 2.2858141247543493, + "deflection": 0.005291673291602781, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003907)" + }, + "parent_node_id": "node_928", + "improvement_over_parent": null + }, + "node_930": { + "node_id": "node_930", + "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n Mass: 218.21 kg\n Factor of Safety: 0.82\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.21275362838307, + "fos_buckling": 0.8238986118439255, + "fos_yielding": 2.2858141247543493, + "deflection": 0.005291673291602782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.610)" + }, + "parent_node_id": "node_929", + "improvement_over_parent": null + }, + "node_931": { + "node_id": "node_931", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n Mass: 219.15 kg\n Factor of Safety: 0.82\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.15214208310078, + "fos_buckling": 0.8238765746920774, + "fos_yielding": 2.283290622073681, + "deflection": 0.005273295302127009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.299)" + }, + "parent_node_id": "node_930", + "improvement_over_parent": null + }, + "node_932": { + "node_id": "node_932", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n Mass: 223.24 kg\n Factor of Safety: 1.37\n Max Deflection: 4.56e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.2410535517988, + "fos_buckling": 1.3696680069659222, + "fos_yielding": 2.3002675888057293, + "deflection": 0.004559079012642411, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002543)" + }, + "parent_node_id": "node_931", + "improvement_over_parent": null + }, + "node_933": { + "node_id": "node_933", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.38 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.3823544493002, + "fos_buckling": 1.5401568277413826, + "fos_yielding": 2.6479268114071144, + "deflection": 0.003962113776297212, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 138)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 181.81 kg\n Factor of Safety: 0.80\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.81044560097948, + "fos_buckling": 0.7963912968728593, + "fos_yielding": 1.44539570264002, + "deflection": 0.00580025202122351, + "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: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 213.44 kg\n Factor of Safety: 0.92\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.43939822291645, + "fos_buckling": 0.92409844342574, + "fos_yielding": 1.7007168896804243, + "deflection": 0.004946714026325569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_935", + "improvement_over_parent": null + }, + "node_937": { + "node_id": "node_937", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 216.11 kg\n Factor of Safety: 1.17\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.1061307665654, + "fos_buckling": 1.170893764601008, + "fos_yielding": 2.2738542256217054, + "deflection": 0.004675277895857945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.603)" + }, + "parent_node_id": "node_936", + "improvement_over_parent": null + }, + "node_938": { + "node_id": "node_938", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n Mass: 221.83 kg\n Factor of Safety: 1.36\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.82974637529844, + "fos_buckling": 1.362327259282252, + "fos_yielding": 2.285750555375857, + "deflection": 0.004587624063202051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002540)" + }, + "parent_node_id": "node_937", + "improvement_over_parent": null + }, + "node_939": { + "node_id": "node_939", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.3726889243088, + "fos_buckling": 1.5400316101364202, + "fos_yielding": 2.6476891142099417, + "deflection": 0.003962186303427139, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_938", + "improvement_over_parent": null + }, + "node_940": { + "node_id": "node_940", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_939", + "improvement_over_parent": null + }, + "node_941": { + "node_id": "node_941", + "content": "INITIAL DESIGN (Trace 139)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 221.70 kg\n Factor of Safety: 0.67\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.69607472776323, + "fos_buckling": 0.6729938592841963, + "fos_yielding": 2.4694445338305835, + "deflection": 0.005152307297826951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_942": { + "node_id": "node_942", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 228.25 kg\n Factor of Safety: 0.67\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.25486291591284, + "fos_buckling": 0.6726186241061476, + "fos_yielding": 2.468062419889925, + "deflection": 0.005213516437470274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_941", + "improvement_over_parent": null + }, + "node_943": { + "node_id": "node_943", + "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 236.28 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.27913723785485, + "fos_buckling": 0.6724657184675131, + "fos_yielding": 2.467499220076408, + "deflection": 0.0050930909486456835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.368)" + }, + "parent_node_id": "node_942", + "improvement_over_parent": null + }, + "node_944": { + "node_id": "node_944", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.534263319747, + "fos_buckling": 1.540955421640988, + "fos_yielding": 2.6493762133507306, + "deflection": 0.003959838570520386, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_943", + "improvement_over_parent": null + }, + "node_945": { + "node_id": "node_945", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_944", + "improvement_over_parent": null + }, + "node_946": { + "node_id": "node_946", + "content": "INITIAL DESIGN (Trace 140)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 234.69 kg\n Factor of Safety: 0.58\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.68619554333938, + "fos_buckling": 0.5831128630840839, + "fos_yielding": 2.265892617879734, + "deflection": 0.005647181320455678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_947": { + "node_id": "node_947", + "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 237.66 kg\n Factor of Safety: 0.58\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.66261715189214, + "fos_buckling": 0.5831128630840839, + "fos_yielding": 2.265892617879734, + "deflection": 0.005647181320455678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.418)" + }, + "parent_node_id": "node_946", + "improvement_over_parent": null + }, + "node_948": { + "node_id": "node_948", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 244.31 kg\n Factor of Safety: 0.93\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.30521738071147, + "fos_buckling": 0.9262857164332182, + "fos_yielding": 2.7187711852967307, + "deflection": 0.004460830322059484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_947", + "improvement_over_parent": null + }, + "node_949": { + "node_id": "node_949", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 246.25 kg\n Factor of Safety: 0.93\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.24897443751954, + "fos_buckling": 0.9261833993622922, + "fos_yielding": 2.7184688990445705, + "deflection": 0.004491947588314907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.362)" + }, + "parent_node_id": "node_948", + "improvement_over_parent": null + }, + "node_950": { + "node_id": "node_950", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 252.81 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.80776262566914, + "fos_buckling": 0.9256658756332347, + "fos_yielding": 2.629828369273621, + "deflection": 0.004580450573127395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_949", + "improvement_over_parent": null + }, + "node_951": { + "node_id": "node_951", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5245818750307, + "fos_buckling": 1.5408115983434154, + "fos_yielding": 2.649361296199509, + "deflection": 0.00395990598752156, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_950", + "improvement_over_parent": null + }, + "node_952": { + "node_id": "node_952", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_951", + "improvement_over_parent": null + }, + "node_953": { + "node_id": "node_953", + "content": "INITIAL DESIGN (Trace 141)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 214.18 kg\n Factor of Safety: 0.49\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.17880169316786, + "fos_buckling": 0.4944342890599459, + "fos_yielding": 1.7547637315211062, + "deflection": 0.0066005630625480885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_954": { + "node_id": "node_954", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 227.93 kg\n Factor of Safety: 0.67\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.92827015935526, + "fos_buckling": 0.6702902483664628, + "fos_yielding": 1.7526906620351768, + "deflection": 0.005424025758851213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_953", + "improvement_over_parent": null + }, + "node_955": { + "node_id": "node_955", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 229.90 kg\n Factor of Safety: 0.67\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.90477467367575, + "fos_buckling": 0.6702073284264802, + "fos_yielding": 2.272916921150188, + "deflection": 0.005194215469937596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.326)" + }, + "parent_node_id": "node_954", + "improvement_over_parent": null + }, + "node_956": { + "node_id": "node_956", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 231.56 kg\n Factor of Safety: 0.67\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.56000475585776, + "fos_buckling": 0.6702073284264802, + "fos_yielding": 2.272916921150189, + "deflection": 0.005186021767442982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.199)" + }, + "parent_node_id": "node_955", + "improvement_over_parent": null + }, + "node_957": { + "node_id": "node_957", + "content": "MODIFICATION: Increase 14 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 235.60 kg\n Factor of Safety: 0.67\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.60321461045126, + "fos_buckling": 0.6738213184928037, + "fos_yielding": 2.2726537890323137, + "deflection": 0.005149840271202211, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.295)" + }, + "parent_node_id": "node_956", + "improvement_over_parent": null + }, + "node_958": { + "node_id": "node_958", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 256.56 kg\n Factor of Safety: 1.54\n Max Deflection: 3.98e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.5593986172669, + "fos_buckling": 1.5407339160193734, + "fos_yielding": 2.6499500418557336, + "deflection": 0.003980723803596123, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_957", + "improvement_over_parent": null + }, + "node_959": { + "node_id": "node_959", + "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53121968948795, + "fos_buckling": 1.5408308281340803, + "fos_yielding": 2.6493768900155747, + "deflection": 0.0039600663989923105, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.232)" + }, + "parent_node_id": "node_958", + "improvement_over_parent": null + }, + "node_960": { + "node_id": "node_960", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_959", + "improvement_over_parent": null + }, + "node_961": { + "node_id": "node_961", + "content": "INITIAL DESIGN (Trace 142)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 161.86 kg\n Factor of Safety: 0.06\n Max Deflection: 6.20e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.85552250819865, + "fos_buckling": 0.0646322126722316, + "fos_yielding": 0.1744324940838289, + "deflection": 62015100345864.91, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_962": { + "node_id": "node_962", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 177.72 kg\n Factor of Safety: 0.09\n Max Deflection: 3.83e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.72148630097925, + "fos_buckling": 0.09452739789985154, + "fos_yielding": 0.20993673265227528, + "deflection": 38339632112040.234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003733)" + }, + "parent_node_id": "node_961", + "improvement_over_parent": null + }, + "node_963": { + "node_id": "node_963", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 179.00 kg\n Factor of Safety: 0.25\n Max Deflection: 1.19e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.99793529163796, + "fos_buckling": 0.25207306106627075, + "fos_yielding": 0.8397469306091011, + "deflection": 11908387814518.111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.233)" + }, + "parent_node_id": "node_962", + "improvement_over_parent": null + }, + "node_964": { + "node_id": "node_964", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 193.95 kg\n Factor of Safety: 0.58\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.9514144571531, + "fos_buckling": 0.5782679276120856, + "fos_yielding": 1.6175273458797221, + "deflection": 0.006372486043069984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003624)" + }, + "parent_node_id": "node_963", + "improvement_over_parent": null + }, + "node_965": { + "node_id": "node_965", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 211.62 kg\n Factor of Safety: 1.29\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.6169712281543, + "fos_buckling": 1.2901254599596839, + "fos_yielding": 1.5998722410311224, + "deflection": 0.005019618636413681, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003939)" + }, + "parent_node_id": "node_964", + "improvement_over_parent": null + }, + "node_966": { + "node_id": "node_966", + "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 214.06 kg\n Factor of Safety: 1.32\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.063939438601, + "fos_buckling": 1.32205619642218, + "fos_yielding": 2.2064581724488384, + "deflection": 0.004751989210212944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.429)" + }, + "parent_node_id": "node_965", + "improvement_over_parent": null + }, + "node_967": { + "node_id": "node_967", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.34 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.3398412338232, + "fos_buckling": 1.5399102520476748, + "fos_yielding": 2.647289679267589, + "deflection": 0.003962738246301051, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 143)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 174.32 kg\n Factor of Safety: 0.54\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.31793822854175, + "fos_buckling": 0.5385007434968742, + "fos_yielding": 1.8075324775422694, + "deflection": 0.005620622432150697, + "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 1 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n\nPerformance:\n Mass: 179.86 kg\n Factor of Safety: 0.99\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.85873075895668, + "fos_buckling": 0.9888997426959805, + "fos_yielding": 1.8156709970011808, + "deflection": 0.005825559064584844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002231)" + }, + "parent_node_id": "node_969", + "improvement_over_parent": null + }, + "node_971": { + "node_id": "node_971", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 204.48 kg\n Factor of Safety: 1.11\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.47582845077426, + "fos_buckling": 1.109610346853817, + "fos_yielding": 2.064238176139435, + "deflection": 0.005129814305803347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_970", + "improvement_over_parent": null + }, + "node_972": { + "node_id": "node_972", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 254.26 kg\n Factor of Safety: 1.34\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.26121124888886, + "fos_buckling": 1.3429786134983284, + "fos_yielding": 2.567411945400583, + "deflection": 0.00413433381525045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_971", + "improvement_over_parent": null + }, + "node_973": { + "node_id": "node_973", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 255.59 kg\n Factor of Safety: 1.36\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.5861744391163, + "fos_buckling": 1.3578185637454914, + "fos_yielding": 2.6099022771406375, + "deflection": 0.004051064945766211, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.188)" + }, + "parent_node_id": "node_972", + "improvement_over_parent": null + }, + "node_974": { + "node_id": "node_974", + "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.23 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.2322539048479, + "fos_buckling": 1.5393705768793082, + "fos_yielding": 2.64632372771471, + "deflection": 0.003964326816007203, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.259)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 144)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 186.66 kg\n Factor of Safety: 0.83\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.6618341514064, + "fos_buckling": 0.8312231151765969, + "fos_yielding": 1.8888928445969235, + "deflection": 0.005428274451288406, + "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: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 188.09 kg\n Factor of Safety: 0.97\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.08732947728865, + "fos_buckling": 0.9733257948564398, + "fos_yielding": 2.0895837332419473, + "deflection": 0.005315924900072294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.248)" + }, + "parent_node_id": "node_976", + "improvement_over_parent": null + }, + "node_978": { + "node_id": "node_978", + "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 189.34 kg\n Factor of Safety: 0.97\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.34269786402342, + "fos_buckling": 0.9709611210655221, + "fos_yielding": 2.0965054852351823, + "deflection": 0.005333091710180951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.271)" + }, + "parent_node_id": "node_977", + "improvement_over_parent": null + }, + "node_979": { + "node_id": "node_979", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 214.41 kg\n Factor of Safety: 1.09\n Max Deflection: 4.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.40894853209147, + "fos_buckling": 1.088689853009897, + "fos_yielding": 2.369983894524319, + "deflection": 0.004715990531468193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_978", + "improvement_over_parent": null + }, + "node_980": { + "node_id": "node_980", + "content": "MODIFICATION: Increase 20 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 219.23 kg\n Factor of Safety: 1.11\n Max Deflection: 4.63e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.23019190267968, + "fos_buckling": 1.1091629464917587, + "fos_yielding": 2.3682993528838097, + "deflection": 0.004632116080013596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.366)" + }, + "parent_node_id": "node_979", + "improvement_over_parent": null + }, + "node_981": { + "node_id": "node_981", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 244.08 kg\n Factor of Safety: 1.22\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.0766898170296, + "fos_buckling": 1.2229501910438016, + "fos_yielding": 2.6327767641334674, + "deflection": 0.004166020050832123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_980", + "improvement_over_parent": null + }, + "node_982": { + "node_id": "node_982", + "content": "MODIFICATION: Increase 18 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 251.45 kg\n Factor of Safety: 1.33\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.45322534717096, + "fos_buckling": 1.3312792079388547, + "fos_yielding": 2.641657827494557, + "deflection": 0.0040448617449452525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.595)" + }, + "parent_node_id": "node_981", + "improvement_over_parent": null + }, + "node_983": { + "node_id": "node_983", + "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.75 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7481810992477, + "fos_buckling": 1.5423795527809543, + "fos_yielding": 2.6514519259501688, + "deflection": 0.003956783048320737, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.269)" + }, + "parent_node_id": "node_982", + "improvement_over_parent": null + }, + "node_984": { + "node_id": "node_984", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_983", + "improvement_over_parent": null + }, + "node_985": { + "node_id": "node_985", + "content": "INITIAL DESIGN (Trace 145)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 139.44 kg\n Factor of Safety: 0.68\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.44420855921294, + "fos_buckling": 0.6755526819604419, + "fos_yielding": 1.474927176236265, + "deflection": 0.008250615729410868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_986": { + "node_id": "node_986", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n\nPerformance:\n Mass: 144.18 kg\n Factor of Safety: 0.76\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.18407911321472, + "fos_buckling": 0.7568164539785355, + "fos_yielding": 1.4742618247532142, + "deflection": 0.007366878777743788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001891)" + }, + "parent_node_id": "node_985", + "improvement_over_parent": null + }, + "node_987": { + "node_id": "node_987", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n Mass: 160.36 kg\n Factor of Safety: 0.83\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.3623024140658, + "fos_buckling": 0.8315339951533595, + "fos_yielding": 1.6385235937248401, + "deflection": 0.006629996406891984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_986", + "improvement_over_parent": null + }, + "node_988": { + "node_id": "node_988", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 193.90 kg\n Factor of Safety: 0.98\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.9046789144375, + "fos_buckling": 0.9799439002484982, + "fos_yielding": 1.9783499072875905, + "deflection": 0.005493965389149721, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_987", + "improvement_over_parent": null + }, + "node_989": { + "node_id": "node_989", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 209.44 kg\n Factor of Safety: 1.30\n Max Deflection: 4.86e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.44309660803293, + "fos_buckling": 1.2978405118286378, + "fos_yielding": 2.159221994235985, + "deflection": 0.004855792541254357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003650)" + }, + "parent_node_id": "node_988", + "improvement_over_parent": null + }, + "node_990": { + "node_id": "node_990", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5112482315316, + "fos_buckling": 1.5407684010225418, + "fos_yielding": 2.6489570370463107, + "deflection": 0.003960345278100849, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_989", + "improvement_over_parent": null + }, + "node_991": { + "node_id": "node_991", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_990", + "improvement_over_parent": null + }, + "node_992": { + "node_id": "node_992", + "content": "INITIAL DESIGN (Trace 146)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 186.46 kg\n Factor of Safety: 0.61\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.4561948631132, + "fos_buckling": 0.6091481854872408, + "fos_yielding": 2.1514551973607214, + "deflection": 0.006549630364070164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_993": { + "node_id": "node_993", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 210.79 kg\n Factor of Safety: 0.67\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.78945127124103, + "fos_buckling": 0.6727613913462952, + "fos_yielding": 2.428735506523876, + "deflection": 0.005802229988859563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_992", + "improvement_over_parent": null + }, + "node_994": { + "node_id": "node_994", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 229.88 kg\n Factor of Safety: 0.67\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.8791950460485, + "fos_buckling": 0.6723974837701368, + "fos_yielding": 2.4670909074768317, + "deflection": 0.005184625285764958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_993", + "improvement_over_parent": null + }, + "node_995": { + "node_id": "node_995", + "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 236.20 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.20224546142606, + "fos_buckling": 0.6722770343099436, + "fos_yielding": 2.466647283396224, + "deflection": 0.005094837444265975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.271)" + }, + "parent_node_id": "node_994", + "improvement_over_parent": null + }, + "node_996": { + "node_id": "node_996", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.46 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.45737154331823, + "fos_buckling": 1.5404782074792551, + "fos_yielding": 2.648434434859902, + "deflection": 0.00396111386763268, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_995", + "improvement_over_parent": null + }, + "node_997": { + "node_id": "node_997", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_996", + "improvement_over_parent": null + }, + "node_998": { + "node_id": "node_998", + "content": "INITIAL DESIGN (Trace 147)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 0.27\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.01934911487135, + "fos_buckling": 0.27019575103507026, + "fos_yielding": 1.455417517040854, + "deflection": 0.00843057404287483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_999": { + "node_id": "node_999", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 205.24 kg\n Factor of Safety: 0.27\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.2417444674111, + "fos_buckling": 0.2705710067139662, + "fos_yielding": 1.455333118474117, + "deflection": 0.008388300325591116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.181)" + }, + "parent_node_id": "node_998", + "improvement_over_parent": null + }, + "node_1000": { + "node_id": "node_1000", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 237.19 kg\n Factor of Safety: 0.93\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.19168684114862, + "fos_buckling": 0.9267749791518868, + "fos_yielding": 2.378544170611357, + "deflection": 0.004639533303780871, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_999", + "improvement_over_parent": null + }, + "node_1001": { + "node_id": "node_1001", + "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 239.55 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.54980376138838, + "fos_buckling": 0.9267128466303914, + "fos_yielding": 2.6306943772082403, + "deflection": 0.004576930186402002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.431)" + }, + "parent_node_id": "node_1000", + "improvement_over_parent": null + }, + "node_1002": { + "node_id": "node_1002", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5391683280483, + "fos_buckling": 1.5407570051589317, + "fos_yielding": 2.649368874141806, + "deflection": 0.003959603855509624, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_1001", + "improvement_over_parent": null + }, + "node_1003": { + "node_id": "node_1003", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1002", + "improvement_over_parent": null + }, + "node_1004": { + "node_id": "node_1004", + "content": "INITIAL DESIGN (Trace 148)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 181.24 kg\n Factor of Safety: 0.46\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.23732763748563, + "fos_buckling": 0.4550285217942536, + "fos_yielding": 1.800665071912826, + "deflection": 0.00703892963023022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1005": { + "node_id": "node_1005", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 197.78 kg\n Factor of Safety: 0.76\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.78312955634536, + "fos_buckling": 0.7619428189475962, + "fos_yielding": 2.0675852225846767, + "deflection": 0.005860084570159122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003701)" + }, + "parent_node_id": "node_1004", + "improvement_over_parent": null + }, + "node_1006": { + "node_id": "node_1006", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n\nPerformance:\n Mass: 200.62 kg\n Factor of Safety: 1.08\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.62369701829124, + "fos_buckling": 1.0769972519596385, + "fos_yielding": 2.0856856123823264, + "deflection": 0.005076081036053034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001724)" + }, + "parent_node_id": "node_1005", + "improvement_over_parent": null + }, + "node_1007": { + "node_id": "node_1007", + "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0040)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n\nPerformance:\n Mass: 203.36 kg\n Factor of Safety: 1.08\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.3566875058632, + "fos_buckling": 1.0775143261226614, + "fos_yielding": 2.082416742111266, + "deflection": 0.005045616588949453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.333)" + }, + "parent_node_id": "node_1006", + "improvement_over_parent": null + }, + "node_1008": { + "node_id": "node_1008", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0052)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n\nPerformance:\n Mass: 257.40 kg\n Factor of Safety: 1.33\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.39830618312374, + "fos_buckling": 1.3281457517611635, + "fos_yielding": 2.6303892715586845, + "deflection": 0.0039968902199372935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_1007", + "improvement_over_parent": null + }, + "node_1009": { + "node_id": "node_1009", + "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0052)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0040)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n\nPerformance:\n Mass: 259.30 kg\n Factor of Safety: 1.36\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.2964494027319, + "fos_buckling": 1.3570715574742451, + "fos_yielding": 2.6322139441299988, + "deflection": 0.003986906986040012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.325)" + }, + "parent_node_id": "node_1008", + "improvement_over_parent": null + }, + "node_1010": { + "node_id": "node_1010", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1009", + "improvement_over_parent": null + }, + "node_1011": { + "node_id": "node_1011", + "content": "INITIAL DESIGN (Trace 149)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 228.11 kg\n Factor of Safety: 0.92\n Max Deflection: 4.20e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.11184023371837, + "fos_buckling": 0.9178107561835017, + "fos_yielding": 2.3948177494545684, + "deflection": 0.0041984688699307285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1012": { + "node_id": "node_1012", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 238.08 kg\n Factor of Safety: 1.13\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.08359363241402, + "fos_buckling": 1.1303565931654267, + "fos_yielding": 2.71971391051356, + "deflection": 0.003931778891532567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_1011", + "improvement_over_parent": null + }, + "node_1013": { + "node_id": "node_1013", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 244.64 kg\n Factor of Safety: 0.63\n Max Deflection: 3.87e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.64238182056363, + "fos_buckling": 0.6287005553420455, + "fos_yielding": 2.5389131876687485, + "deflection": 0.003866047026451768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_1012", + "improvement_over_parent": null + }, + "node_1014": { + "node_id": "node_1014", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 252.48 kg\n Factor of Safety: 1.37\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.4811448385431, + "fos_buckling": 1.3729084179396245, + "fos_yielding": 2.641818355361869, + "deflection": 0.004028015395561262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_1013", + "improvement_over_parent": null + }, + "node_1015": { + "node_id": "node_1015", + "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 255.00 kg\n Factor of Safety: 1.35\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.0029743454824, + "fos_buckling": 1.3507926401836494, + "fos_yielding": 2.6300038741187395, + "deflection": 0.0039992377390782735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.206)" + }, + "parent_node_id": "node_1014", + "improvement_over_parent": null + }, + "node_1016": { + "node_id": "node_1016", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1015", + "improvement_over_parent": null + }, + "node_1017": { + "node_id": "node_1017", + "content": "INITIAL DESIGN (Trace 150)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 180.37 kg\n Factor of Safety: 0.72\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.36823362558988, + "fos_buckling": 0.7187079226028307, + "fos_yielding": 1.8037586108441404, + "deflection": 0.005848080709414664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1018": { + "node_id": "node_1018", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 202.25 kg\n Factor of Safety: 0.79\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.2517180257501, + "fos_buckling": 0.7927408254471942, + "fos_yielding": 2.020379830006724, + "deflection": 0.005221664464592304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_1017", + "improvement_over_parent": null + }, + "node_1019": { + "node_id": "node_1019", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.45 kg\n Factor of Safety: 0.91\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.44908978273386, + "fos_buckling": 0.9120849211158808, + "fos_yielding": 2.387500355576273, + "deflection": 0.004419606686492705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_1018", + "improvement_over_parent": null + }, + "node_1020": { + "node_id": "node_1020", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.49 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.49162598548156, + "fos_buckling": 1.5406216353553448, + "fos_yielding": 2.648930453041121, + "deflection": 0.003960518600953257, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_1019", + "improvement_over_parent": null + }, + "node_1021": { + "node_id": "node_1021", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1020", + "improvement_over_parent": null + }, + "node_1022": { + "node_id": "node_1022", + "content": "INITIAL DESIGN (Trace 151)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 129.61 kg\n Factor of Safety: 0.03\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": 129.61321140463667, + "fos_buckling": 0.033166692301243784, + "fos_yielding": 0.4108154550994975, + "deflection": 0.02663847850680004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1023": { + "node_id": "node_1023", + "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 131.37 kg\n Factor of Safety: 0.03\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": 131.37072219974496, + "fos_buckling": 0.03316391667954248, + "fos_yielding": 0.41078107517755513, + "deflection": 0.026489912041786277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.468)" + }, + "parent_node_id": "node_1022", + "improvement_over_parent": null + }, + "node_1024": { + "node_id": "node_1024", + "content": "MODIFICATION: Increase 11 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 133.50 kg\n Factor of Safety: 0.03\n Max Deflection: 2.65e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.50188164265018, + "fos_buckling": 0.033163916679542486, + "fos_yielding": 0.4107810751775552, + "deflection": 0.02646017544298246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.481)" + }, + "parent_node_id": "node_1023", + "improvement_over_parent": null + }, + "node_1025": { + "node_id": "node_1025", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n Mass: 153.66 kg\n Factor of Safety: 0.03\n Max Deflection: 2.53e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.65974388032996, + "fos_buckling": 0.03313211473024499, + "fos_yielding": 0.4103871639561696, + "deflection": 0.02527105052861775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003599)" + }, + "parent_node_id": "node_1024", + "improvement_over_parent": null + }, + "node_1026": { + "node_id": "node_1026", + "content": "MODIFICATION: Increase 18 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n Mass: 157.97 kg\n Factor of Safety: 0.03\n Max Deflection: 2.51e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.9658371697456, + "fos_buckling": 0.03312985256078267, + "fos_yielding": 0.4103591438518815, + "deflection": 0.025129633667672575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.346)" + }, + "parent_node_id": "node_1025", + "improvement_over_parent": null + }, + "node_1027": { + "node_id": "node_1027", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n\nPerformance:\n Mass: 164.00 kg\n Factor of Safety: 1.04\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.0005791291917, + "fos_buckling": 1.0356207277159457, + "fos_yielding": 1.677136774752673, + "deflection": 0.006211029866020281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002579)" + }, + "parent_node_id": "node_1026", + "improvement_over_parent": null + }, + "node_1028": { + "node_id": "node_1028", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0049)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n Mass: 202.19 kg\n Factor of Safety: 1.25\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.18733281159055, + "fos_buckling": 1.245691588507317, + "fos_yielding": 2.0648183793814803, + "deflection": 0.005047849171575466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1027", + "improvement_over_parent": null + }, + "node_1029": { + "node_id": "node_1029", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0065)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 259.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.94e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 259.51155681682127, + "fos_buckling": 1.5390288491402497, + "fos_yielding": 2.6449138334336397, + "deflection": 0.003944301127866747, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_1028", + "improvement_over_parent": null + }, + "node_1030": { + "node_id": "node_1030", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1029", + "improvement_over_parent": null + }, + "node_1031": { + "node_id": "node_1031", + "content": "INITIAL DESIGN (Trace 152)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 231.81 kg\n Factor of Safety: 0.68\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.80908785636177, + "fos_buckling": 0.6849963497428617, + "fos_yielding": 2.504315671308989, + "deflection": 0.004951408060099584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1032": { + "node_id": "node_1032", + "content": "MODIFICATION: Increase 19 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 238.16 kg\n Factor of Safety: 0.93\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.16432716002177, + "fos_buckling": 0.926759072104016, + "fos_yielding": 2.5036115500174536, + "deflection": 0.004659395191100619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.468)" + }, + "parent_node_id": "node_1031", + "improvement_over_parent": null + }, + "node_1033": { + "node_id": "node_1033", + "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.54 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.54016284845395, + "fos_buckling": 0.926577820022894, + "fos_yielding": 2.630684493095641, + "deflection": 0.0045771747593217095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.208)" + }, + "parent_node_id": "node_1032", + "improvement_over_parent": null + }, + "node_1034": { + "node_id": "node_1034", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5295274151138, + "fos_buckling": 1.540828178864955, + "fos_yielding": 2.6493597816019454, + "deflection": 0.003959763841408001, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_1033", + "improvement_over_parent": null + }, + "node_1035": { + "node_id": "node_1035", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1034", + "improvement_over_parent": null + }, + "node_1036": { + "node_id": "node_1036", + "content": "INITIAL DESIGN (Trace 153)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 204.44 kg\n Factor of Safety: 0.82\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.4419608878376, + "fos_buckling": 0.8184579502075934, + "fos_yielding": 2.2723973190077422, + "deflection": 0.005305515830891218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1037": { + "node_id": "node_1037", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 219.90 kg\n Factor of Safety: 1.36\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.89502719969883, + "fos_buckling": 1.3575803502698165, + "fos_yielding": 2.2865870009387375, + "deflection": 0.004590251659719881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003755)" + }, + "parent_node_id": "node_1036", + "improvement_over_parent": null + }, + "node_1038": { + "node_id": "node_1038", + "content": "MODIFICATION: Increase 16 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 221.19 kg\n Factor of Safety: 1.36\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.19114283157327, + "fos_buckling": 1.359065891485284, + "fos_yielding": 2.2793237036523863, + "deflection": 0.004600773057722267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.323)" + }, + "parent_node_id": "node_1037", + "improvement_over_parent": null + }, + "node_1039": { + "node_id": "node_1039", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.64 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.635427595887, + "fos_buckling": 1.541339412447864, + "fos_yielding": 2.6504595661317554, + "deflection": 0.003958267806704322, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1038", + "improvement_over_parent": null + }, + "node_1040": { + "node_id": "node_1040", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1039", + "improvement_over_parent": null + }, + "node_1041": { + "node_id": "node_1041", + "content": "INITIAL DESIGN (Trace 154)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 162.85 kg\n Factor of Safety: 0.85\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.85157654389553, + "fos_buckling": 0.8490802923371008, + "fos_yielding": 1.6444449477690448, + "deflection": 0.006669593633547604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1042": { + "node_id": "node_1042", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 186.54 kg\n Factor of Safety: 0.95\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.5361261111982, + "fos_buckling": 0.9548930904849167, + "fos_yielding": 1.8847131670593318, + "deflection": 0.005829551061980961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_1041", + "improvement_over_parent": null + }, + "node_1043": { + "node_id": "node_1043", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n\nPerformance:\n Mass: 201.60 kg\n Factor of Safety: 1.23\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.59895527508965, + "fos_buckling": 1.2345237294221272, + "fos_yielding": 1.9010471624792842, + "deflection": 0.005169199142460436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003530)" + }, + "parent_node_id": "node_1042", + "improvement_over_parent": null + }, + "node_1044": { + "node_id": "node_1044", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 255.62 kg\n Factor of Safety: 1.51\n Max Deflection: 4.09e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.62467182765943, + "fos_buckling": 1.5087092994331943, + "fos_yielding": 2.41385283997633, + "deflection": 0.004086985629607939, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1043", + "improvement_over_parent": null + }, + "node_1045": { + "node_id": "node_1045", + "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.56 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5570616325732, + "fos_buckling": 1.5409486852954575, + "fos_yielding": 2.6495214850022335, + "deflection": 0.003959405451703471, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.297)" + }, + "parent_node_id": "node_1044", + "improvement_over_parent": null + }, + "node_1046": { + "node_id": "node_1046", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1045", + "improvement_over_parent": null + }, + "node_1047": { + "node_id": "node_1047", + "content": "INITIAL DESIGN (Trace 155)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 158.65 kg\n Factor of Safety: 0.33\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": 158.64898020662457, + "fos_buckling": 0.3317002476396534, + "fos_yielding": 1.0237935860515188, + "deflection": 0.016494057612782297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1048": { + "node_id": "node_1048", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n\nPerformance:\n Mass: 163.21 kg\n Factor of Safety: 0.85\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.2130689654386, + "fos_buckling": 0.8508765302672764, + "fos_yielding": 1.6817408566026295, + "deflection": 0.00661895900631975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002034)" + }, + "parent_node_id": "node_1047", + "improvement_over_parent": null + }, + "node_1049": { + "node_id": "node_1049", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n\nPerformance:\n Mass: 164.19 kg\n Factor of Safety: 0.85\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.19146186587585, + "fos_buckling": 0.8508633362411783, + "fos_yielding": 1.681714778867537, + "deflection": 0.006596108441499329, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.326)" + }, + "parent_node_id": "node_1048", + "improvement_over_parent": null + }, + "node_1050": { + "node_id": "node_1050", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n\nPerformance:\n Mass: 208.46 kg\n Factor of Safety: 1.04\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.46359526619975, + "fos_buckling": 1.0439635781833543, + "fos_yielding": 2.1311386528439202, + "deflection": 0.005206658391139916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_1049", + "improvement_over_parent": null + }, + "node_1051": { + "node_id": "node_1051", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 225.20 kg\n Factor of Safety: 1.17\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.19610699028155, + "fos_buckling": 1.1685222405890003, + "fos_yielding": 2.1948377438416076, + "deflection": 0.004617271963063274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003954)" + }, + "parent_node_id": "node_1050", + "improvement_over_parent": null + }, + "node_1052": { + "node_id": "node_1052", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 256.96 kg\n Factor of Safety: 1.31\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.9600018465305, + "fos_buckling": 1.3122575845368878, + "fos_yielding": 2.506445240534602, + "deflection": 0.004052575925161071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1051", + "improvement_over_parent": null + }, + "node_1053": { + "node_id": "node_1053", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1052", + "improvement_over_parent": null + }, + "node_1054": { + "node_id": "node_1054", + "content": "INITIAL DESIGN (Trace 156)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 189.62 kg\n Factor of Safety: 1.02\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.62313278703925, + "fos_buckling": 1.0176588262547976, + "fos_yielding": 1.7702461319211107, + "deflection": 0.005450881723591682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1055": { + "node_id": "node_1055", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 220.46 kg\n Factor of Safety: 1.17\n Max Deflection: 4.70e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.45896654291394, + "fos_buckling": 1.167241950834405, + "fos_yielding": 2.060061722828351, + "deflection": 0.004695484138867425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1054", + "improvement_over_parent": null + }, + "node_1056": { + "node_id": "node_1056", + "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 222.36 kg\n Factor of Safety: 1.17\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.35601978166667, + "fos_buckling": 1.1680578785982136, + "fos_yielding": 2.0459528388486374, + "deflection": 0.0046877860245055055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.504)" + }, + "parent_node_id": "node_1055", + "improvement_over_parent": null + }, + "node_1057": { + "node_id": "node_1057", + "content": "MODIFICATION: Increase 20 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 226.10 kg\n Factor of Safety: 1.17\n Max Deflection: 4.63e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.10015739494332, + "fos_buckling": 1.1672845341634894, + "fos_yielding": 2.0556210513696653, + "deflection": 0.004628278160386587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.264)" + }, + "parent_node_id": "node_1056", + "improvement_over_parent": null + }, + "node_1058": { + "node_id": "node_1058", + "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 229.80 kg\n Factor of Safety: 1.36\n Max Deflection: 4.57e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.80329046670306, + "fos_buckling": 1.3611447249513755, + "fos_yielding": 2.057395865806978, + "deflection": 0.004573054706271379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.608)" + }, + "parent_node_id": "node_1057", + "improvement_over_parent": null + }, + "node_1059": { + "node_id": "node_1059", + "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 231.92 kg\n Factor of Safety: 1.41\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.91656897030833, + "fos_buckling": 1.4139459526862175, + "fos_yielding": 2.3886849145566145, + "deflection": 0.004390960787181449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.379)" + }, + "parent_node_id": "node_1058", + "improvement_over_parent": null + }, + "node_1060": { + "node_id": "node_1060", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.45 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.453080982773, + "fos_buckling": 1.5404833542555978, + "fos_yielding": 2.648615608258541, + "deflection": 0.0039612470816289104, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1059", + "improvement_over_parent": null + }, + "node_1061": { + "node_id": "node_1061", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1060", + "improvement_over_parent": null + }, + "node_1062": { + "node_id": "node_1062", + "content": "INITIAL DESIGN (Trace 157)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n\nPerformance:\n Mass: 173.09 kg\n Factor of Safety: 0.03\n Max Deflection: 2.90e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.0942002477718, + "fos_buckling": 0.026290728645324078, + "fos_yielding": 0.2727172940128788, + "deflection": 28954561063970.188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1063": { + "node_id": "node_1063", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 192.03 kg\n Factor of Safety: 0.06\n Max Deflection: 2.81e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.0343978127236, + "fos_buckling": 0.06381123406178034, + "fos_yielding": 0.2519240791827304, + "deflection": 28084542187186.367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004283)" + }, + "parent_node_id": "node_1062", + "improvement_over_parent": null + }, + "node_1064": { + "node_id": "node_1064", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 212.48 kg\n Factor of Safety: 1.36\n Max Deflection: 2.53e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.47904900988135, + "fos_buckling": 1.356604758142663, + "fos_yielding": 2.5192407918273036, + "deflection": 2534148516716.012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1063", + "improvement_over_parent": null + }, + "node_1065": { + "node_id": "node_1065", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 217.20 kg\n Factor of Safety: 0.67\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.19586825924293, + "fos_buckling": 0.6728473265426299, + "fos_yielding": 2.428932344516737, + "deflection": 0.00559805659231257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_1064", + "improvement_over_parent": null + }, + "node_1066": { + "node_id": "node_1066", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 236.29 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.2856120340504, + "fos_buckling": 0.6724834407292256, + "fos_yielding": 2.4672208731643717, + "deflection": 0.005092990539004675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_1065", + "improvement_over_parent": null + }, + "node_1067": { + "node_id": "node_1067", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.54073811594253, + "fos_buckling": 1.5408737656404958, + "fos_yielding": 2.649453649320407, + "deflection": 0.0039597525529152765, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_1066", + "improvement_over_parent": null + }, + "node_1068": { + "node_id": "node_1068", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1067", + "improvement_over_parent": null + }, + "node_1069": { + "node_id": "node_1069", + "content": "INITIAL DESIGN (Trace 158)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 177.14 kg\n Factor of Safety: 0.03\n Max Deflection: 9.83e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.14157525644833, + "fos_buckling": 0.030740906377190878, + "fos_yielding": 0.07460997077172617, + "deflection": 98302793414031.1, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1070": { + "node_id": "node_1070", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n\nPerformance:\n Mass: 184.31 kg\n Factor of Safety: 0.95\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.30621791266717, + "fos_buckling": 0.9491648498340324, + "fos_yielding": 1.9987221362058554, + "deflection": 0.005249078159523857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003095)" + }, + "parent_node_id": "node_1069", + "improvement_over_parent": null + }, + "node_1071": { + "node_id": "node_1071", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n Mass: 206.71 kg\n Factor of Safety: 1.06\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.7077146830435, + "fos_buckling": 1.057534412292769, + "fos_yielding": 2.2415669774163014, + "deflection": 0.0046869011430477935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_1070", + "improvement_over_parent": null + }, + "node_1072": { + "node_id": "node_1072", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 246.11 kg\n Factor of Safety: 1.24\n Max Deflection: 3.95e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.10803040290236, + "fos_buckling": 1.2442222633821969, + "fos_yielding": 2.6689909171252957, + "deflection": 0.003946420349732391, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1071", + "improvement_over_parent": null + }, + "node_1073": { + "node_id": "node_1073", + "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0054)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 250.19 kg\n Factor of Safety: 1.25\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.19343974377915, + "fos_buckling": 1.245530541226235, + "fos_yielding": 2.6240536771600484, + "deflection": 0.0039185616313359576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.473)" + }, + "parent_node_id": "node_1072", + "improvement_over_parent": null + }, + "node_1074": { + "node_id": "node_1074", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0054)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 256.75 kg\n Factor of Safety: 1.35\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.75222793192876, + "fos_buckling": 1.3542672193773628, + "fos_yielding": 2.6098876999238665, + "deflection": 0.003993954490273131, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_1073", + "improvement_over_parent": null + }, + "node_1075": { + "node_id": "node_1075", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0050)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0054)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 259.63 kg\n Factor of Safety: 1.35\n Max Deflection: 3.97e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.6333216707785, + "fos_buckling": 1.353791827703734, + "fos_yielding": 2.6089715447781923, + "deflection": 0.003973650989334438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.285)" + }, + "parent_node_id": "node_1074", + "improvement_over_parent": null + }, + "node_1076": { + "node_id": "node_1076", + "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0050)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0054)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 260.44 kg\n Factor of Safety: 1.36\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.4412829717149, + "fos_buckling": 1.3563420037051057, + "fos_yielding": 2.6138861383557295, + "deflection": 0.003959902050676372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.236)" + }, + "parent_node_id": "node_1075", + "improvement_over_parent": null + }, + "node_1077": { + "node_id": "node_1077", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1076", + "improvement_over_parent": null + }, + "node_1078": { + "node_id": "node_1078", + "content": "INITIAL DESIGN (Trace 159)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n\nPerformance:\n Mass: 156.02 kg\n Factor of Safety: 0.10\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": 156.01569255450266, + "fos_buckling": 0.10470330089018805, + "fos_yielding": 0.877583133377299, + "deflection": 19988381010823.94, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1079": { + "node_id": "node_1079", + "content": "MODIFICATION: Increase 16 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 158.90 kg\n Factor of Safety: 0.17\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": 158.90480412907093, + "fos_buckling": 0.17450550148364674, + "fos_yielding": 1.259620395913652, + "deflection": 11863547645506.926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.236)" + }, + "parent_node_id": "node_1078", + "improvement_over_parent": null + }, + "node_1080": { + "node_id": "node_1080", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 176.83 kg\n Factor of Safety: 0.24\n Max Deflection: 3.50e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.83425244375374, + "fos_buckling": 0.23682350773299252, + "fos_yielding": 0.916087560664474, + "deflection": 3504095747509.2744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1079", + "improvement_over_parent": null + }, + "node_1081": { + "node_id": "node_1081", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 197.79 kg\n Factor of Safety: 0.26\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.79043645056936, + "fos_buckling": 0.25657026247322157, + "fos_yielding": 1.4563594654245504, + "deflection": 0.008982499203051865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_1080", + "improvement_over_parent": null + }, + "node_1082": { + "node_id": "node_1082", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 219.05 kg\n Factor of Safety: 0.27\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.0455625324615, + "fos_buckling": 0.2695260420436864, + "fos_yielding": 1.4558700653667829, + "deflection": 0.008132504747309782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_1081", + "improvement_over_parent": null + }, + "node_1083": { + "node_id": "node_1083", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n Mass: 239.18 kg\n Factor of Safety: 1.11\n Max Deflection: 4.23e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.17691591423184, + "fos_buckling": 1.107788270879215, + "fos_yielding": 2.6151653093476668, + "deflection": 0.004232983866779877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003594)" + }, + "parent_node_id": "node_1082", + "improvement_over_parent": null + }, + "node_1084": { + "node_id": "node_1084", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 245.82 kg\n Factor of Safety: 1.13\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.81951614305117, + "fos_buckling": 1.12920437658738, + "fos_yielding": 2.628324695840064, + "deflection": 0.004159485272479848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_1083", + "improvement_over_parent": null + }, + "node_1085": { + "node_id": "node_1085", + "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0064)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 253.36 kg\n Factor of Safety: 0.97\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.36493924749897, + "fos_buckling": 0.9748890632214404, + "fos_yielding": 2.598939257102368, + "deflection": 0.004087072037377065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.645)" + }, + "parent_node_id": "node_1084", + "improvement_over_parent": null + }, + "node_1086": { + "node_id": "node_1086", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1085", + "improvement_over_parent": null + }, + "node_1087": { + "node_id": "node_1087", + "content": "INITIAL DESIGN (Trace 160)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 193.75 kg\n Factor of Safety: 0.56\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.74883987982423, + "fos_buckling": 0.5594660459676579, + "fos_yielding": 2.032287872622185, + "deflection": 0.0049762770807003556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1088": { + "node_id": "node_1088", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 240.90 kg\n Factor of Safety: 0.68\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.90238913482472, + "fos_buckling": 0.6761658928499089, + "fos_yielding": 2.5311941128296094, + "deflection": 0.004011992105131716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_1087", + "improvement_over_parent": null + }, + "node_1089": { + "node_id": "node_1089", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 248.74 kg\n Factor of Safety: 1.29\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.74115215280418, + "fos_buckling": 1.286643463817747, + "fos_yielding": 2.5163159745353676, + "deflection": 0.004155205467161103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_1088", + "improvement_over_parent": null + }, + "node_1090": { + "node_id": "node_1090", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 255.38 kg\n Factor of Safety: 1.50\n Max Deflection: 4.09e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.3837523816235, + "fos_buckling": 1.5045167637111039, + "fos_yielding": 2.393426744960367, + "deflection": 0.0040949337906287615, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_1089", + "improvement_over_parent": null + }, + "node_1091": { + "node_id": "node_1091", + "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.38 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.37621243851754, + "fos_buckling": 1.5400362767936673, + "fos_yielding": 2.6476765057356575, + "deflection": 0.003962185700815111, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.309)" + }, + "parent_node_id": "node_1090", + "improvement_over_parent": null + }, + "node_1092": { + "node_id": "node_1092", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1091", + "improvement_over_parent": null + }, + "node_1093": { + "node_id": "node_1093", + "content": "INITIAL DESIGN (Trace 161)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 171.88 kg\n Factor of Safety: 0.36\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": 171.87958453195523, + "fos_buckling": 0.35783936107056297, + "fos_yielding": 1.1325694795292454, + "deflection": 0.014799982697375662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1094": { + "node_id": "node_1094", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 180.20 kg\n Factor of Safety: 0.36\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": 180.19897907020334, + "fos_buckling": 0.3575830248872026, + "fos_yielding": 1.1317601448931291, + "deflection": 0.014724002791793365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002259)" + }, + "parent_node_id": "node_1093", + "improvement_over_parent": null + }, + "node_1095": { + "node_id": "node_1095", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 202.45 kg\n Factor of Safety: 0.39\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": 202.44846627782243, + "fos_buckling": 0.39473953383629967, + "fos_yielding": 1.2691481286162738, + "deflection": 0.013128208294976566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1094", + "improvement_over_parent": null + }, + "node_1096": { + "node_id": "node_1096", + "content": "MODIFICATION: Increase 19 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 206.79 kg\n Factor of Safety: 0.39\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": 206.78652982845483, + "fos_buckling": 0.3945923115141678, + "fos_yielding": 1.2686760784568012, + "deflection": 0.01312622337801192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.508)" + }, + "parent_node_id": "node_1095", + "improvement_over_parent": null + }, + "node_1097": { + "node_id": "node_1097", + "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0028)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 208.10 kg\n Factor of Safety: 0.39\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": 208.09815121527316, + "fos_buckling": 0.3945478201965578, + "fos_yielding": 1.268533422362777, + "deflection": 0.013075056783910816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.261)" + }, + "parent_node_id": "node_1096", + "improvement_over_parent": null + }, + "node_1098": { + "node_id": "node_1098", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n\nPerformance:\n Mass: 246.35 kg\n Factor of Safety: 0.45\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": 246.35459872342855, + "fos_buckling": 0.45344435313362513, + "fos_yielding": 1.497705698259957, + "deflection": 0.011072429067716775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_1097", + "improvement_over_parent": null + }, + "node_1099": { + "node_id": "node_1099", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 254.99 kg\n Factor of Safety: 1.25\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.9914622510821, + "fos_buckling": 1.2494351856661123, + "fos_yielding": 2.636481260827068, + "deflection": 0.0040325054845280405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_1098", + "improvement_over_parent": null + }, + "node_1100": { + "node_id": "node_1100", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1099", + "improvement_over_parent": null + }, + "node_1101": { + "node_id": "node_1101", + "content": "INITIAL DESIGN (Trace 162)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\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_1102": { + "node_id": "node_1102", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 181.43 kg\n Factor of Safety: 0.85\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.43014177247971, + "fos_buckling": 0.8500541794158352, + "fos_yielding": 1.9156606047120601, + "deflection": 0.0063606439455804985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002986)" + }, + "parent_node_id": "node_1101", + "improvement_over_parent": null + }, + "node_1103": { + "node_id": "node_1103", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 230.52 kg\n Factor of Safety: 1.04\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.51825588699134, + "fos_buckling": 1.0373153451145722, + "fos_yielding": 2.4289707185597473, + "deflection": 0.005024026080787738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_1102", + "improvement_over_parent": null + }, + "node_1104": { + "node_id": "node_1104", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 238.36 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.3570189049708, + "fos_buckling": 1.163158177036843, + "fos_yielding": 2.427166037464265, + "deflection": 0.00448107178173923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_1103", + "improvement_over_parent": null + }, + "node_1105": { + "node_id": "node_1105", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.45 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.44676267977826, + "fos_buckling": 1.540449170999952, + "fos_yielding": 2.648429104665229, + "deflection": 0.003961299900282125, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 163)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 189.34 kg\n Factor of Safety: 0.02\n Max Deflection: 1.03e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.34355999624643, + "fos_buckling": 0.02333884069461344, + "fos_yielding": 0.07872627474460325, + "deflection": 102640513960859.45, + "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: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 197.13 kg\n Factor of Safety: 0.16\n Max Deflection: 6.69e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.13400258620499, + "fos_buckling": 0.16474211121047433, + "fos_yielding": 0.8397469306091013, + "deflection": 6685948264886.355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003593)" + }, + "parent_node_id": "node_1107", + "improvement_over_parent": null + }, + "node_1109": { + "node_id": "node_1109", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 216.04 kg\n Factor of Safety: 0.84\n Max Deflection: 4.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.03760272071898, + "fos_buckling": 0.8379907707584878, + "fos_yielding": 2.1565942414136345, + "deflection": 0.004892179865086852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004274)" + }, + "parent_node_id": "node_1108", + "improvement_over_parent": null + }, + "node_1110": { + "node_id": "node_1110", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 239.63 kg\n Factor of Safety: 0.91\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.6264848479771, + "fos_buckling": 0.912705525235857, + "fos_yielding": 2.389241638772194, + "deflection": 0.004416362478710052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_1109", + "improvement_over_parent": null + }, + "node_1111": { + "node_id": "node_1111", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.67 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6690210507248, + "fos_buckling": 1.541539228663073, + "fos_yielding": 2.650881145874249, + "deflection": 0.003957737624116973, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_1110", + "improvement_over_parent": null + }, + "node_1112": { + "node_id": "node_1112", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1111", + "improvement_over_parent": null + }, + "node_1113": { + "node_id": "node_1113", + "content": "INITIAL DESIGN (Trace 164)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 197.30 kg\n Factor of Safety: 0.04\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": 197.2988679855477, + "fos_buckling": 0.041262043505520166, + "fos_yielding": 0.5272291892724406, + "deflection": 0.022203299436745053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1114": { + "node_id": "node_1114", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.12 kg\n Factor of Safety: 0.05\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": 243.11594296933745, + "fos_buckling": 0.04907627641087946, + "fos_yielding": 0.6484027553848489, + "deflection": 0.018062142217556542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_1113", + "improvement_over_parent": null + }, + "node_1115": { + "node_id": "node_1115", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 252.68 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.67908394855726, + "fos_buckling": 1.163317888057384, + "fos_yielding": 2.427934456815874, + "deflection": 0.004479811080510646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_1114", + "improvement_over_parent": null + }, + "node_1116": { + "node_id": "node_1116", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.68 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6823105572236, + "fos_buckling": 1.5415886564505275, + "fos_yielding": 2.6509681647611605, + "deflection": 0.003957767754953465, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 165)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 222.14 kg\n Factor of Safety: 0.59\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.1385702888514, + "fos_buckling": 0.5899493772640504, + "fos_yielding": 2.0214718617358187, + "deflection": 0.004394837632446899, + "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 all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.43 kg\n Factor of Safety: 0.65\n Max Deflection: 3.95e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.42578033797972, + "fos_buckling": 0.6480724200786669, + "fos_yielding": 2.2544382130584877, + "deflection": 0.003950672324658736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1118", + "improvement_over_parent": null + }, + "node_1120": { + "node_id": "node_1120", + "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.82 kg\n Factor of Safety: 0.73\n Max Deflection: 3.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.8175700452709, + "fos_buckling": 0.729218431446144, + "fos_yielding": 2.563120853572017, + "deflection": 0.003813980677644627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.366)" + }, + "parent_node_id": "node_1119", + "improvement_over_parent": null + }, + "node_1121": { + "node_id": "node_1121", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6563330632504, + "fos_buckling": 1.5414736358696763, + "fos_yielding": 2.6506813648070797, + "deflection": 0.0039580664139620275, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_1120", + "improvement_over_parent": null + }, + "node_1122": { + "node_id": "node_1122", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1121", + "improvement_over_parent": null + }, + "node_1123": { + "node_id": "node_1123", + "content": "INITIAL DESIGN (Trace 166)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n\nPerformance:\n Mass: 215.48 kg\n Factor of Safety: 0.67\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.4757711502256, + "fos_buckling": 0.6739213349237636, + "fos_yielding": 2.169041051998349, + "deflection": 0.005072463711236916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1124": { + "node_id": "node_1124", + "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n\nPerformance:\n Mass: 217.44 kg\n Factor of Safety: 0.67\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.44340780616668, + "fos_buckling": 0.6737331474443184, + "fos_yielding": 2.4135006861451207, + "deflection": 0.004919398156615573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.304)" + }, + "parent_node_id": "node_1123", + "improvement_over_parent": null + }, + "node_1125": { + "node_id": "node_1125", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 225.28 kg\n Factor of Safety: 0.67\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.28217082414614, + "fos_buckling": 0.6734334804956249, + "fos_yielding": 2.4124236431212402, + "deflection": 0.005311015510512874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_1124", + "improvement_over_parent": null + }, + "node_1126": { + "node_id": "node_1126", + "content": "MODIFICATION: Increase 18 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n\nPerformance:\n Mass: 227.75 kg\n Factor of Safety: 0.67\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.74861551669397, + "fos_buckling": 0.6733392462614428, + "fos_yielding": 2.412084953357353, + "deflection": 0.0053374898773246495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.359)" + }, + "parent_node_id": "node_1125", + "improvement_over_parent": null + }, + "node_1127": { + "node_id": "node_1127", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.00 kg\n Factor of Safety: 1.41\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.00374159858612, + "fos_buckling": 1.4068532793955655, + "fos_yielding": 2.7180626381022384, + "deflection": 0.00395670616197098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_1126", + "improvement_over_parent": null + }, + "node_1128": { + "node_id": "node_1128", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 255.56 kg\n Factor of Safety: 1.51\n Max Deflection: 4.02e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.56252978673572, + "fos_buckling": 1.507451813936054, + "fos_yielding": 2.6562634270649212, + "deflection": 0.004017231283145951, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_1127", + "improvement_over_parent": null + }, + "node_1129": { + "node_id": "node_1129", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1128", + "improvement_over_parent": null + }, + "node_1130": { + "node_id": "node_1130", + "content": "INITIAL DESIGN (Trace 167)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 210.04 kg\n Factor of Safety: 1.14\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.04101753208244, + "fos_buckling": 1.1413934961100756, + "fos_yielding": 2.145799153344623, + "deflection": 0.004912274106090553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1131": { + "node_id": "node_1131", + "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 211.41 kg\n Factor of Safety: 1.18\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.4065923654697, + "fos_buckling": 1.1825809465522739, + "fos_yielding": 2.2108224599769857, + "deflection": 0.004804843385118992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.252)" + }, + "parent_node_id": "node_1130", + "improvement_over_parent": null + }, + "node_1132": { + "node_id": "node_1132", + "content": "MODIFICATION: Increase 18 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 214.83 kg\n Factor of Safety: 1.33\n Max Deflection: 4.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.83450742484106, + "fos_buckling": 1.3260763865448757, + "fos_yielding": 2.214437955734301, + "deflection": 0.004735103141774437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.263)" + }, + "parent_node_id": "node_1131", + "improvement_over_parent": null + }, + "node_1133": { + "node_id": "node_1133", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.47993470689454, + "fos_buckling": 1.5405858370125698, + "fos_yielding": 2.648849156396279, + "deflection": 0.0039605709557086555, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_1132", + "improvement_over_parent": null + }, + "node_1134": { + "node_id": "node_1134", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1133", + "improvement_over_parent": null + }, + "node_1135": { + "node_id": "node_1135", + "content": "INITIAL DESIGN (Trace 168)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 204.89 kg\n Factor of Safety: 0.40\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": 204.89361216410913, + "fos_buckling": 0.39504676461972, + "fos_yielding": 1.267833753691519, + "deflection": 0.013117462849500229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1136": { + "node_id": "node_1136", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 205.55 kg\n Factor of Safety: 0.40\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": 205.55304609482153, + "fos_buckling": 0.39503929789378533, + "fos_yielding": 1.2678098562801243, + "deflection": 0.013109804949572146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.199)" + }, + "parent_node_id": "node_1135", + "improvement_over_parent": null + }, + "node_1137": { + "node_id": "node_1137", + "content": "MODIFICATION: Increase 19 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 210.73 kg\n Factor of Safety: 0.39\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": 210.72510038048515, + "fos_buckling": 0.3949807448587946, + "fos_yielding": 1.2518861918078659, + "deflection": 0.013098430262994511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.435)" + }, + "parent_node_id": "node_1136", + "improvement_over_parent": null + }, + "node_1138": { + "node_id": "node_1138", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 218.04 kg\n Factor of Safety: 1.34\n Max Deflection: 4.67e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.0382616193449, + "fos_buckling": 1.3427224799123516, + "fos_yielding": 2.2470650742561076, + "deflection": 0.004666493514387701, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003355)" + }, + "parent_node_id": "node_1137", + "improvement_over_parent": null + }, + "node_1139": { + "node_id": "node_1139", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5417921822271, + "fos_buckling": 1.5408589522561358, + "fos_yielding": 2.6494004463801852, + "deflection": 0.003959719647916953, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_1138", + "improvement_over_parent": null + }, + "node_1140": { + "node_id": "node_1140", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1139", + "improvement_over_parent": null + }, + "node_1141": { + "node_id": "node_1141", + "content": "INITIAL DESIGN (Trace 169)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 185.35 kg\n Factor of Safety: 0.58\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.346344447361, + "fos_buckling": 0.5772177814066135, + "fos_yielding": 2.0524179487400587, + "deflection": 0.006451821423075138, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1142": { + "node_id": "node_1142", + "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 187.42 kg\n Factor of Safety: 0.58\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.41935564338928, + "fos_buckling": 0.5770474614255425, + "fos_yielding": 2.0518106195421333, + "deflection": 0.006307254529187945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.439)" + }, + "parent_node_id": "node_1141", + "improvement_over_parent": null + }, + "node_1143": { + "node_id": "node_1143", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 205.02 kg\n Factor of Safety: 1.21\n Max Deflection: 4.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.02254061902474, + "fos_buckling": 1.2070643889805686, + "fos_yielding": 2.2566496573021744, + "deflection": 0.004719186819348036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003924)" + }, + "parent_node_id": "node_1142", + "improvement_over_parent": null + }, + "node_1144": { + "node_id": "node_1144", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.46 kg\n Factor of Safety: 1.41\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.45656332995532, + "fos_buckling": 1.4140420983675583, + "fos_yielding": 2.7171251964142855, + "deflection": 0.003920587615627997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1143", + "improvement_over_parent": null + }, + "node_1145": { + "node_id": "node_1145", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 254.02 kg\n Factor of Safety: 1.53\n Max Deflection: 3.99e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.01535151810492, + "fos_buckling": 1.5262155491984368, + "fos_yielding": 2.647311261028355, + "deflection": 0.003993365986592164, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_1144", + "improvement_over_parent": null + }, + "node_1146": { + "node_id": "node_1146", + "content": "MODIFICATION: Increase 19 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0060)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 258.83 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.83281743204617, + "fos_buckling": 1.5406954263509534, + "fos_yielding": 2.6459794596417185, + "deflection": 0.003946939362034947, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.256)" + }, + "parent_node_id": "node_1145", + "improvement_over_parent": null + }, + "node_1147": { + "node_id": "node_1147", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1146", + "improvement_over_parent": null + }, + "node_1148": { + "node_id": "node_1148", + "content": "INITIAL DESIGN (Trace 170)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 191.50 kg\n Factor of Safety: 0.98\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.50042723234915, + "fos_buckling": 0.9834154851367458, + "fos_yielding": 1.9865343693085857, + "deflection": 0.005471399243295625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1149": { + "node_id": "node_1149", + "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 194.71 kg\n Factor of Safety: 0.98\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.70702140803158, + "fos_buckling": 0.9834154851367458, + "fos_yielding": 1.9865343693085857, + "deflection": 0.005471399243295625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.562)" + }, + "parent_node_id": "node_1148", + "improvement_over_parent": null + }, + "node_1150": { + "node_id": "node_1150", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 238.50 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.503625363918, + "fos_buckling": 1.1637742008634884, + "fos_yielding": 2.4287379151991546, + "deflection": 0.004478204208633187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_1149", + "improvement_over_parent": null + }, + "node_1151": { + "node_id": "node_1151", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.59336913872545, + "fos_buckling": 1.5410984643427668, + "fos_yielding": 2.6501480630865633, + "deflection": 0.003958857240453944, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_1150", + "improvement_over_parent": null + }, + "node_1152": { + "node_id": "node_1152", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1151", + "improvement_over_parent": null + }, + "node_1153": { + "node_id": "node_1153", + "content": "INITIAL DESIGN (Trace 171)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0024)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 144.14 kg\n Factor of Safety: 0.10\n Max Deflection: 5.66e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.13957762442587, + "fos_buckling": 0.09682326374094692, + "fos_yielding": 0.31490509897841296, + "deflection": 56608889408338.664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1154": { + "node_id": "node_1154", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 161.80 kg\n Factor of Safety: 0.34\n Max Deflection: 7.04e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.80300932027626, + "fos_buckling": 0.33846076261969577, + "fos_yielding": 1.286764077531273, + "deflection": 7044914976458.197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_1153", + "improvement_over_parent": null + }, + "node_1155": { + "node_id": "node_1155", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n Mass: 166.90 kg\n Factor of Safety: 0.07\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": 166.9016530794709, + "fos_buckling": 0.07275375855333263, + "fos_yielding": 0.923971798821725, + "deflection": 0.0131147417749081, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002036)" + }, + "parent_node_id": "node_1154", + "improvement_over_parent": null + }, + "node_1156": { + "node_id": "node_1156", + "content": "MODIFICATION: Increase 12 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n Mass: 176.09 kg\n Factor of Safety: 0.07\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": 176.09162909851872, + "fos_buckling": 0.07273438623625791, + "fos_yielding": 0.9237257706437891, + "deflection": 0.013021174885012473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.629)" + }, + "parent_node_id": "node_1155", + "improvement_over_parent": null + }, + "node_1157": { + "node_id": "node_1157", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 192.37 kg\n Factor of Safety: 0.38\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.3748611055295, + "fos_buckling": 0.3782795465952279, + "fos_yielding": 1.9349918855669532, + "deflection": 0.005746454339703154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003638)" + }, + "parent_node_id": "node_1156", + "improvement_over_parent": null + }, + "node_1158": { + "node_id": "node_1158", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 218.81 kg\n Factor of Safety: 0.42\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.81014578742696, + "fos_buckling": 0.42281771044449173, + "fos_yielding": 2.1984607259189852, + "deflection": 0.00505891008837476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1157", + "improvement_over_parent": null + }, + "node_1159": { + "node_id": "node_1159", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 247.49 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.48775062948465, + "fos_buckling": 0.46907631547027484, + "fos_yielding": 2.483620991624724, + "deflection": 0.004479142156248268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1158", + "improvement_over_parent": null + }, + "node_1160": { + "node_id": "node_1160", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.46 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4595040281803, + "fos_buckling": 1.540658167468768, + "fos_yielding": 2.6485376795303006, + "deflection": 0.0039610363779649296, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_1159", + "improvement_over_parent": null + }, + "node_1161": { + "node_id": "node_1161", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1160", + "improvement_over_parent": null + }, + "node_1162": { + "node_id": "node_1162", + "content": "INITIAL DESIGN (Trace 172)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 145.66 kg\n Factor of Safety: 0.95\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.65954682928648, + "fos_buckling": 0.9472498762710876, + "fos_yielding": 1.2774875554095508, + "deflection": 0.006988814997404266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1163": { + "node_id": "node_1163", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 180.56 kg\n Factor of Safety: 1.14\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.56091826604745, + "fos_buckling": 1.1442560716154715, + "fos_yielding": 1.5844418231648796, + "deflection": 0.005648323888607527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_1162", + "improvement_over_parent": null + }, + "node_1164": { + "node_id": "node_1164", + "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 182.16 kg\n Factor of Safety: 1.15\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.1627041391053, + "fos_buckling": 1.1474151827349082, + "fos_yielding": 1.9848304164396704, + "deflection": 0.005451503964176456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.282)" + }, + "parent_node_id": "node_1163", + "improvement_over_parent": null + }, + "node_1165": { + "node_id": "node_1165", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 219.23 kg\n Factor of Safety: 1.34\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.2254920887509, + "fos_buckling": 1.3430268898893605, + "fos_yielding": 2.383003232069376, + "deflection": 0.004540670603103472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1164", + "improvement_over_parent": null + }, + "node_1166": { + "node_id": "node_1166", + "content": "MODIFICATION: Increase 17 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 222.58 kg\n Factor of Safety: 1.34\n Max Deflection: 4.51e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.57630533375936, + "fos_buckling": 1.3435640319638806, + "fos_yielding": 2.378482713142394, + "deflection": 0.004509401385577658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.285)" + }, + "parent_node_id": "node_1165", + "improvement_over_parent": null + }, + "node_1167": { + "node_id": "node_1167", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.59 kg\n Factor of Safety: 1.48\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.58513262107545, + "fos_buckling": 1.4763949095749984, + "fos_yielding": 2.662891003965758, + "deflection": 0.004028185975962471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1166", + "improvement_over_parent": null + }, + "node_1168": { + "node_id": "node_1168", + "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.01 kg\n Factor of Safety: 1.49\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.01148067491891, + "fos_buckling": 1.4945799464751486, + "fos_yielding": 2.659183325391569, + "deflection": 0.0040077869313357595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.295)" + }, + "parent_node_id": "node_1167", + "improvement_over_parent": null + }, + "node_1169": { + "node_id": "node_1169", + "content": "MODIFICATION: Increase 14 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.69 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6862832976577, + "fos_buckling": 1.5415955355338617, + "fos_yielding": 2.649563407343648, + "deflection": 0.003957710043770747, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.464)" + }, + "parent_node_id": "node_1168", + "improvement_over_parent": null + }, + "node_1170": { + "node_id": "node_1170", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1169", + "improvement_over_parent": null + }, + "node_1171": { + "node_id": "node_1171", + "content": "INITIAL DESIGN (Trace 173)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 134.92 kg\n Factor of Safety: 0.16\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": 134.92357713076768, + "fos_buckling": 0.15721346854980098, + "fos_yielding": 0.874997650407915, + "deflection": 0.022599489991984908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1172": { + "node_id": "node_1172", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n Mass: 155.33 kg\n Factor of Safety: 0.31\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": 155.3251255446341, + "fos_buckling": 0.30967479450945, + "fos_yielding": 0.9542453537569708, + "deflection": 0.017740263343775826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003645)" + }, + "parent_node_id": "node_1171", + "improvement_over_parent": null + }, + "node_1173": { + "node_id": "node_1173", + "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n Mass: 156.49 kg\n Factor of Safety: 0.31\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": 156.48748113426214, + "fos_buckling": 0.30963341910905723, + "fos_yielding": 0.9541181250575471, + "deflection": 0.017317545562973193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.236)" + }, + "parent_node_id": "node_1172", + "improvement_over_parent": null + }, + "node_1174": { + "node_id": "node_1174", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n\nPerformance:\n Mass: 200.89 kg\n Factor of Safety: 0.38\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": 200.88681938939783, + "fos_buckling": 0.38432746774265253, + "fos_yielding": 1.2208468857402028, + "deflection": 0.013532158058739061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1173", + "improvement_over_parent": null + }, + "node_1175": { + "node_id": "node_1175", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 245.22 kg\n Factor of Safety: 0.45\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": 245.21982823884548, + "fos_buckling": 0.45318880460154065, + "fos_yielding": 1.4854140907299462, + "deflection": 0.011120304888855534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_1174", + "improvement_over_parent": null + }, + "node_1176": { + "node_id": "node_1176", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 253.86 kg\n Factor of Safety: 1.41\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.85669176649904, + "fos_buckling": 1.4057108741940794, + "fos_yielding": 2.6510892996405095, + "deflection": 0.00400504094883865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_1175", + "improvement_over_parent": null + }, + "node_1177": { + "node_id": "node_1177", + "content": "MODIFICATION: Increase 20 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0050)]\n\nPerformance:\n Mass: 255.64 kg\n Factor of Safety: 1.40\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.6360238430121, + "fos_buckling": 1.3959884509194123, + "fos_yielding": 2.648197334634121, + "deflection": 0.003941559369789456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.232)" + }, + "parent_node_id": "node_1176", + "improvement_over_parent": null + }, + "node_1178": { + "node_id": "node_1178", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1177", + "improvement_over_parent": null + }, + "node_1179": { + "node_id": "node_1179", + "content": "INITIAL DESIGN (Trace 174)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n\nPerformance:\n Mass: 127.13 kg\n Factor of Safety: 0.13\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": 127.13486875210423, + "fos_buckling": 0.13241748927190303, + "fos_yielding": 0.7349651606890965, + "deflection": 0.013374893884741806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1180": { + "node_id": "node_1180", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n\nPerformance:\n Mass: 147.02 kg\n Factor of Safety: 0.63\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.01683543191, + "fos_buckling": 0.6317039815570615, + "fos_yielding": 1.5737127019979622, + "deflection": 0.007766498730504766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003547)" + }, + "parent_node_id": "node_1179", + "improvement_over_parent": null + }, + "node_1181": { + "node_id": "node_1181", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n\nPerformance:\n Mass: 170.23 kg\n Factor of Safety: 0.72\n Max Deflection: 6.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.22949456644778, + "fos_buckling": 0.7193268346861735, + "fos_yielding": 1.8196487250396913, + "deflection": 0.006716545662930363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1180", + "improvement_over_parent": null + }, + "node_1182": { + "node_id": "node_1182", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n\nPerformance:\n Mass: 188.32 kg\n Factor of Safety: 0.79\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.32348162712955, + "fos_buckling": 0.7853359699894261, + "fos_yielding": 2.010867492922566, + "deflection": 0.006077636736261533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1181", + "improvement_over_parent": null + }, + "node_1183": { + "node_id": "node_1183", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 236.46 kg\n Factor of Safety: 0.95\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.4584778072887, + "fos_buckling": 0.9511645530286814, + "fos_yielding": 2.5174765833017534, + "deflection": 0.004854036342466976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1182", + "improvement_over_parent": null + }, + "node_1184": { + "node_id": "node_1184", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 250.21 kg\n Factor of Safety: 1.22\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.2079462734761, + "fos_buckling": 1.2182980582503222, + "fos_yielding": 2.652586051294388, + "deflection": 0.004067163067072959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_1183", + "improvement_over_parent": null + }, + "node_1185": { + "node_id": "node_1185", + "content": "MODIFICATION: Increase 20 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0061)]\n\nPerformance:\n Mass: 257.00 kg\n Factor of Safety: 1.22\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.00396892866723, + "fos_buckling": 1.2156059340748901, + "fos_yielding": 2.626827609266763, + "deflection": 0.004006305537298846, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.577)" + }, + "parent_node_id": "node_1184", + "improvement_over_parent": null + }, + "node_1186": { + "node_id": "node_1186", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1185", + "improvement_over_parent": null + }, + "node_1187": { + "node_id": "node_1187", + "content": "INITIAL DESIGN (Trace 175)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 146.40 kg\n Factor of Safety: 0.77\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.3993916610923, + "fos_buckling": 0.7745882184094135, + "fos_yielding": 1.2295074084088902, + "deflection": 0.006900029414126373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1188": { + "node_id": "node_1188", + "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 148.14 kg\n Factor of Safety: 0.91\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.1366421728362, + "fos_buckling": 0.9106758080629522, + "fos_yielding": 1.5384031060275962, + "deflection": 0.006750968846296667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.587)" + }, + "parent_node_id": "node_1187", + "improvement_over_parent": null + }, + "node_1189": { + "node_id": "node_1189", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 187.04 kg\n Factor of Safety: 1.13\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.04388734927062, + "fos_buckling": 1.1315787175416394, + "fos_yielding": 1.9389778988949185, + "deflection": 0.005359681432293606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1188", + "improvement_over_parent": null + }, + "node_1190": { + "node_id": "node_1190", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 221.46 kg\n Factor of Safety: 1.32\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.4612933331458, + "fos_buckling": 1.3203888800498218, + "fos_yielding": 2.2921267414633753, + "deflection": 0.004536469206778201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_1189", + "improvement_over_parent": null + }, + "node_1191": { + "node_id": "node_1191", + "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 223.36 kg\n Factor of Safety: 1.37\n Max Deflection: 4.56e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.35613096124374, + "fos_buckling": 1.3703017834479434, + "fos_yielding": 2.301439400287293, + "deflection": 0.004556750340425117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.418)" + }, + "parent_node_id": "node_1190", + "improvement_over_parent": null + }, + "node_1192": { + "node_id": "node_1192", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5130008737036, + "fos_buckling": 1.5408358736069636, + "fos_yielding": 2.6492532555340143, + "deflection": 0.00396012459546461, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1191", + "improvement_over_parent": null + }, + "node_1193": { + "node_id": "node_1193", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1192", + "improvement_over_parent": null + }, + "node_1194": { + "node_id": "node_1194", + "content": "INITIAL DESIGN (Trace 176)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 163.35 kg\n Factor of Safety: 0.92\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.3488153761117, + "fos_buckling": 0.9239853169780488, + "fos_yielding": 1.7393145427775782, + "deflection": 0.005927368396891416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1195": { + "node_id": "node_1195", + "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 165.79 kg\n Factor of Safety: 0.99\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.7850902938385, + "fos_buckling": 0.9914914207175105, + "fos_yielding": 1.7826255752408, + "deflection": 0.00585176519031575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.490)" + }, + "parent_node_id": "node_1194", + "improvement_over_parent": null + }, + "node_1196": { + "node_id": "node_1196", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n\nPerformance:\n Mass: 170.20 kg\n Factor of Safety: 1.02\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.19965431021498, + "fos_buckling": 1.0187591472749282, + "fos_yielding": 1.7881211084270732, + "deflection": 0.005964524359075515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001746)" + }, + "parent_node_id": "node_1195", + "improvement_over_parent": null + }, + "node_1197": { + "node_id": "node_1197", + "content": "MODIFICATION: Increase 20 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n Mass: 170.96 kg\n Factor of Safety: 1.02\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.960713569527, + "fos_buckling": 1.0183288119825342, + "fos_yielding": 1.784503222100582, + "deflection": 0.005973067435561001, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.185)" + }, + "parent_node_id": "node_1196", + "improvement_over_parent": null + }, + "node_1198": { + "node_id": "node_1198", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0025)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.19\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.23491202614113, + "fos_buckling": 1.1917864321845668, + "fos_yielding": 2.128394848954542, + "deflection": 0.005008947762737128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1197", + "improvement_over_parent": null + }, + "node_1199": { + "node_id": "node_1199", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0025)]\n\nPerformance:\n Mass: 205.45 kg\n Factor of Safety: 1.19\n Max Deflection: 4.96e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.45324095952267, + "fos_buckling": 1.1921102746828682, + "fos_yielding": 2.131981900670235, + "deflection": 0.004963727603004021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.238)" + }, + "parent_node_id": "node_1198", + "improvement_over_parent": null + }, + "node_1200": { + "node_id": "node_1200", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0032)]\n\nPerformance:\n Mass: 255.45 kg\n Factor of Safety: 1.44\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.4463699025835, + "fos_buckling": 1.4364816990887104, + "fos_yielding": 2.6445360631959987, + "deflection": 0.004003382170282584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_1199", + "improvement_over_parent": null + }, + "node_1201": { + "node_id": "node_1201", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1200", + "improvement_over_parent": null + }, + "node_1202": { + "node_id": "node_1202", + "content": "INITIAL DESIGN (Trace 177)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 169.68 kg\n Factor of Safety: 0.33\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": 169.68117711902147, + "fos_buckling": 0.32795280429164114, + "fos_yielding": 1.0107684854286276, + "deflection": 0.01622324031858305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1203": { + "node_id": "node_1203", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n Mass: 175.57 kg\n Factor of Safety: 1.11\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.5691230504466, + "fos_buckling": 1.1143971198170202, + "fos_yielding": 1.81296372639324, + "deflection": 0.0057811044576044565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002660)" + }, + "parent_node_id": "node_1202", + "improvement_over_parent": null + }, + "node_1204": { + "node_id": "node_1204", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 219.62 kg\n Factor of Safety: 1.35\n Max Deflection: 4.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.62095163245553, + "fos_buckling": 1.350947736483203, + "fos_yielding": 2.2632870923292496, + "deflection": 0.004633299391732795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_1203", + "improvement_over_parent": null + }, + "node_1205": { + "node_id": "node_1205", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.61 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6084123141992, + "fos_buckling": 1.5412059830657023, + "fos_yielding": 2.6501637162775844, + "deflection": 0.003958720785316552, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_1204", + "improvement_over_parent": null + }, + "node_1206": { + "node_id": "node_1206", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1205", + "improvement_over_parent": null + }, + "node_1207": { + "node_id": "node_1207", + "content": "INITIAL DESIGN (Trace 178)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n Mass: 126.85 kg\n Factor of Safety: 0.03\n Max Deflection: 2.79e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.84823073724031, + "fos_buckling": 0.031752303103402914, + "fos_yielding": 0.39130620903065244, + "deflection": 0.027898233759811392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1208": { + "node_id": "node_1208", + "content": "MODIFICATION: Increase 18 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 129.81 kg\n Factor of Safety: 0.03\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": 129.81320659798894, + "fos_buckling": 0.03175080847184813, + "fos_yielding": 0.39128778962322563, + "deflection": 0.02774085776021769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.318)" + }, + "parent_node_id": "node_1207", + "improvement_over_parent": null + }, + "node_1209": { + "node_id": "node_1209", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 152.02 kg\n Factor of Safety: 0.04\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.0240490811428, + "fos_buckling": 0.036506259622558344, + "fos_yielding": 0.4578105999801363, + "deflection": 0.023716680419211125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_1208", + "improvement_over_parent": null + }, + "node_1210": { + "node_id": "node_1210", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 194.05 kg\n Factor of Safety: 0.04\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": 194.04686286027592, + "fos_buckling": 0.0449666864739303, + "fos_yielding": 0.5833337650580506, + "deflection": 0.01862325960677639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1209", + "improvement_over_parent": null + }, + "node_1211": { + "node_id": "node_1211", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n\nPerformance:\n Mass: 202.64 kg\n Factor of Safety: 0.24\n Max Deflection: 9.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.64425470091783, + "fos_buckling": 0.24490564201827955, + "fos_yielding": 1.308012956761195, + "deflection": 0.009047288529378835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003767)" + }, + "parent_node_id": "node_1210", + "improvement_over_parent": null + }, + "node_1212": { + "node_id": "node_1212", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 225.51 kg\n Factor of Safety: 0.27\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.51130075034555, + "fos_buckling": 0.26755173317281045, + "fos_yielding": 1.4541731828463729, + "deflection": 0.00813745357667791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.46 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.46124312408307, + "fos_buckling": 1.54070672522751, + "fos_yielding": 2.648383509892721, + "deflection": 0.003960867286524246, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_1212", + "improvement_over_parent": null + }, + "node_1214": { + "node_id": "node_1214", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1213", + "improvement_over_parent": null + }, + "node_1215": { + "node_id": "node_1215", + "content": "INITIAL DESIGN (Trace 179)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 178.78 kg\n Factor of Safety: 0.05\n Max Deflection: 4.64e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.77762499218193, + "fos_buckling": 0.0544624896544491, + "fos_yielding": 0.7194842279591404, + "deflection": 464268923040.42346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1216": { + "node_id": "node_1216", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 186.62 kg\n Factor of Safety: 0.05\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": 186.6163880101614, + "fos_buckling": 0.04915235228240937, + "fos_yielding": 0.6493339261327001, + "deflection": 0.020278072776222827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_1215", + "improvement_over_parent": null + }, + "node_1217": { + "node_id": "node_1217", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 188.84 kg\n Factor of Safety: 0.05\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": 188.84232437600807, + "fos_buckling": 0.04914715659483962, + "fos_yielding": 0.6492652877857652, + "deflection": 0.02009302964169702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.381)" + }, + "parent_node_id": "node_1216", + "improvement_over_parent": null + }, + "node_1218": { + "node_id": "node_1218", + "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 190.87 kg\n Factor of Safety: 0.05\n Max Deflection: 2.01e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.87267911863736, + "fos_buckling": 0.04914557708954824, + "fos_yielding": 0.6492444215133576, + "deflection": 0.020094192208889732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.629)" + }, + "parent_node_id": "node_1217", + "improvement_over_parent": null + }, + "node_1219": { + "node_id": "node_1219", + "content": "MODIFICATION: Increase 13 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0038)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 193.34 kg\n Factor of Safety: 0.06\n Max Deflection: 1.90e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.34299114665228, + "fos_buckling": 0.06304673365945261, + "fos_yielding": 0.8830647154900835, + "deflection": 0.01900427301920807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.433)" + }, + "parent_node_id": "node_1218", + "improvement_over_parent": null + }, + "node_1220": { + "node_id": "node_1220", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0038)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 225.29 kg\n Factor of Safety: 0.06\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.2929335203898, + "fos_buckling": 0.06295124286520978, + "fos_yielding": 0.8822570960888046, + "deflection": 0.01826082612633248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_1219", + "improvement_over_parent": null + }, + "node_1221": { + "node_id": "node_1221", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0038)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.55 kg\n Factor of Safety: 0.06\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.54805960228194, + "fos_buckling": 0.06293010652782724, + "fos_yielding": 0.8817206342646918, + "deflection": 0.016571693195189825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_1220", + "improvement_over_parent": null + }, + "node_1222": { + "node_id": "node_1222", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0038)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 256.11 kg\n Factor of Safety: 1.31\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.11120058150175, + "fos_buckling": 1.3082961177262837, + "fos_yielding": 2.6695580576759035, + "deflection": 0.004031850763748461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 180)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 188.47 kg\n Factor of Safety: 0.75\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.47422034394032, + "fos_buckling": 0.7548886214986518, + "fos_yielding": 2.0422576108895676, + "deflection": 0.006090105220187386, + "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 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n Mass: 192.16 kg\n Factor of Safety: 0.92\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.15878457643257, + "fos_buckling": 0.9153989145739047, + "fos_yielding": 2.0572429443634745, + "deflection": 0.005300860532705911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002273)" + }, + "parent_node_id": "node_1224", + "improvement_over_parent": null + }, + "node_1226": { + "node_id": "node_1226", + "content": "MODIFICATION: Increase 13 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0056)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n Mass: 200.13 kg\n Factor of Safety: 0.88\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.12869016369874, + "fos_buckling": 0.8835719211793492, + "fos_yielding": 2.048795786477018, + "deflection": 0.00521248900503524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.600)" + }, + "parent_node_id": "node_1225", + "improvement_over_parent": null + }, + "node_1227": { + "node_id": "node_1227", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0073)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 255.86 kg\n Factor of Safety: 1.10\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.85705590197682, + "fos_buckling": 1.1011825508211135, + "fos_yielding": 2.6159930598987224, + "deflection": 0.004084707388632206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_1226", + "improvement_over_parent": null + }, + "node_1228": { + "node_id": "node_1228", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1227", + "improvement_over_parent": null + }, + "node_1229": { + "node_id": "node_1229", + "content": "INITIAL DESIGN (Trace 181)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 117.05 kg\n Factor of Safety: 0.15\n Max Deflection: 2.10e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.05094485162024, + "fos_buckling": 0.1487610115529088, + "fos_yielding": 0.825960596119811, + "deflection": 2098145638703.3938, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1230": { + "node_id": "node_1230", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n Mass: 137.00 kg\n Factor of Safety: 0.71\n Max Deflection: 3.55e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.99661969579617, + "fos_buckling": 0.7072479696727156, + "fos_yielding": 2.2970925018189132, + "deflection": 3548635653850.931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003559)" + }, + "parent_node_id": "node_1229", + "improvement_over_parent": null + }, + "node_1231": { + "node_id": "node_1231", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n\nPerformance:\n Mass: 142.39 kg\n Factor of Safety: 0.61\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.3878357515626, + "fos_buckling": 0.6099845592665252, + "fos_yielding": 1.4789194660041052, + "deflection": 0.007303226846029492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002423)" + }, + "parent_node_id": "node_1230", + "improvement_over_parent": null + }, + "node_1232": { + "node_id": "node_1232", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 176.83 kg\n Factor of Safety: 0.74\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.82614689208154, + "fos_buckling": 0.7375931210775668, + "fos_yielding": 1.8375023117874592, + "deflection": 0.00588967166773651, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_1231", + "improvement_over_parent": null + }, + "node_1233": { + "node_id": "node_1233", + "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 177.92 kg\n Factor of Safety: 0.74\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.92216591045653, + "fos_buckling": 0.7375231326780343, + "fos_yielding": 1.8578203239085742, + "deflection": 0.005678019435334754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.186)" + }, + "parent_node_id": "node_1232", + "improvement_over_parent": null + }, + "node_1234": { + "node_id": "node_1234", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 229.47 kg\n Factor of Safety: 0.91\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.4694277208352, + "fos_buckling": 0.913127609320861, + "fos_yielding": 2.390210341742425, + "deflection": 0.004414776932659832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1233", + "improvement_over_parent": null + }, + "node_1235": { + "node_id": "node_1235", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 239.44 kg\n Factor of Safety: 0.91\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.44118111953082, + "fos_buckling": 0.9120789433157951, + "fos_yielding": 2.3874812893664124, + "deflection": 0.004419966868043716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_1234", + "improvement_over_parent": null + }, + "node_1236": { + "node_id": "node_1236", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4837173222785, + "fos_buckling": 1.5405737751085502, + "fos_yielding": 2.6488662715832465, + "deflection": 0.0039608181088419524, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 182)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n Mass: 110.82 kg\n Factor of Safety: 0.23\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": 110.81674123624396, + "fos_buckling": 0.22773217205390067, + "fos_yielding": 0.6761896556620732, + "deflection": 0.024974652626805895, + "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: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n\nPerformance:\n Mass: 113.09 kg\n Factor of Safety: 0.23\n Max Deflection: 2.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.0908006292304, + "fos_buckling": 0.22771725568854462, + "fos_yielding": 0.6761454324907012, + "deflection": 0.024252143312327577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001323)" + }, + "parent_node_id": "node_1238", + "improvement_over_parent": null + }, + "node_1240": { + "node_id": "node_1240", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n\nPerformance:\n Mass: 129.11 kg\n Factor of Safety: 0.26\n Max Deflection: 2.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.1105675982171, + "fos_buckling": 0.257013943181305, + "fos_yielding": 0.7711200781722728, + "deflection": 0.02126512157086318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_1239", + "improvement_over_parent": null + }, + "node_1241": { + "node_id": "node_1241", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n Mass: 158.20 kg\n Factor of Safety: 0.31\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": 158.1986574526388, + "fos_buckling": 0.30834711409776183, + "fos_yielding": 0.9430666141697694, + "deflection": 0.017387888751158147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n\nPerformance:\n Mass: 184.13 kg\n Factor of Safety: 0.35\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": 184.12904483290112, + "fos_buckling": 0.3520898935798836, + "fos_yielding": 1.0958008309508263, + "deflection": 0.01496432093621114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1241", + "improvement_over_parent": null + }, + "node_1243": { + "node_id": "node_1243", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 207.18 kg\n Factor of Safety: 0.39\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": 207.18156840001822, + "fos_buckling": 0.38938724155830706, + "fos_yielding": 1.231153676593322, + "deflection": 0.013319129924362473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_1242", + "improvement_over_parent": null + }, + "node_1244": { + "node_id": "node_1244", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 214.37 kg\n Factor of Safety: 1.32\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.367470037201, + "fos_buckling": 1.3236587201092158, + "fos_yielding": 2.209706325352862, + "deflection": 0.004745545163838392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003292)" + }, + "parent_node_id": "node_1243", + "improvement_over_parent": null + }, + "node_1245": { + "node_id": "node_1245", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.50603570730425, + "fos_buckling": 1.5407346553984314, + "fos_yielding": 2.649156012289256, + "deflection": 0.00396038319388144, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 183)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 201.97 kg\n Factor of Safety: 0.59\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.96773849263607, + "fos_buckling": 0.5874042103937686, + "fos_yielding": 2.2776992806327923, + "deflection": 0.005895440013623046, + "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: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 222.92 kg\n Factor of Safety: 1.16\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.9239224994517, + "fos_buckling": 1.16436923578008, + "fos_yielding": 2.4298519580587556, + "deflection": 0.004623723237800631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_1247", + "improvement_over_parent": null + }, + "node_1249": { + "node_id": "node_1249", + "content": "MODIFICATION: Increase 18 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n\nPerformance:\n Mass: 231.13 kg\n Factor of Safety: 1.16\n Max Deflection: 4.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.12836237339653, + "fos_buckling": 1.1639163441904907, + "fos_yielding": 2.4289068459053826, + "deflection": 0.004549385131417133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.451)" + }, + "parent_node_id": "node_1248", + "improvement_over_parent": null + }, + "node_1250": { + "node_id": "node_1250", + "content": "MODIFICATION: Increase 15 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n\nPerformance:\n Mass: 233.90 kg\n Factor of Safety: 1.16\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.89673778936705, + "fos_buckling": 1.163763607156535, + "fos_yielding": 2.428588108197773, + "deflection": 0.0045326980555600825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.199)" + }, + "parent_node_id": "node_1249", + "improvement_over_parent": null + }, + "node_1251": { + "node_id": "node_1251", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 240.46 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.45552597751666, + "fos_buckling": 1.1631608952784454, + "fos_yielding": 2.427330345117028, + "deflection": 0.004483807483492359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_1250", + "improvement_over_parent": null + }, + "node_1252": { + "node_id": "node_1252", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 259.55 kg\n Factor of Safety: 1.30\n Max Deflection: 3.97e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.54526975232415, + "fos_buckling": 1.2991604151466607, + "fos_yielding": 2.656880461440983, + "deflection": 0.0039685232370686415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_1251", + "improvement_over_parent": null + }, + "node_1253": { + "node_id": "node_1253", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1252", + "improvement_over_parent": null + }, + "node_1254": { + "node_id": "node_1254", + "content": "INITIAL DESIGN (Trace 184)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 132.12 kg\n Factor of Safety: 0.37\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.11715359850356, + "fos_buckling": 0.37421355134025414, + "fos_yielding": 1.4301439621938785, + "deflection": 0.008909716724536897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1255": { + "node_id": "node_1255", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 161.79 kg\n Factor of Safety: 0.45\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.78875541134536, + "fos_buckling": 0.4497397944435037, + "fos_yielding": 1.7488470677828423, + "deflection": 0.0072856104069446035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1254", + "improvement_over_parent": null + }, + "node_1256": { + "node_id": "node_1256", + "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 163.98 kg\n Factor of Safety: 0.50\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.9829632914042, + "fos_buckling": 0.4971778091030327, + "fos_yielding": 1.7486645944089967, + "deflection": 0.007135240339714085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.182)" + }, + "parent_node_id": "node_1255", + "improvement_over_parent": null + }, + "node_1257": { + "node_id": "node_1257", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n\nPerformance:\n Mass: 177.68 kg\n Factor of Safety: 0.35\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.6812418236249, + "fos_buckling": 0.35264698381505344, + "fos_yielding": 1.7884232696703555, + "deflection": 0.006216972790590238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003189)" + }, + "parent_node_id": "node_1256", + "improvement_over_parent": null + }, + "node_1258": { + "node_id": "node_1258", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n Mass: 213.82 kg\n Factor of Safety: 0.41\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.82319041909727, + "fos_buckling": 0.4144489165568701, + "fos_yielding": 2.14895404062352, + "deflection": 0.005175519024665381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1257", + "improvement_over_parent": null + }, + "node_1259": { + "node_id": "node_1259", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n Mass: 222.43 kg\n Factor of Safety: 1.37\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.4278898089221, + "fos_buckling": 1.3655175230224803, + "fos_yielding": 2.2920422738059636, + "deflection": 0.004575503751380291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003117)" + }, + "parent_node_id": "node_1258", + "improvement_over_parent": null + }, + "node_1260": { + "node_id": "node_1260", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.86 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.8561828224871, + "fos_buckling": 1.542488028916695, + "fos_yielding": 2.6528224439258463, + "deflection": 0.003954916148306697, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 185)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 151.25 kg\n Factor of Safety: 0.31\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.25017535324278, + "fos_buckling": 0.31089871568071653, + "fos_yielding": 1.5611808571461352, + "deflection": 0.007176382783729401, + "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: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n\nPerformance:\n Mass: 157.49 kg\n Factor of Safety: 1.01\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.4919496468875, + "fos_buckling": 1.013274538485173, + "fos_yielding": 1.668807793935668, + "deflection": 0.0063636143519049315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002212)" + }, + "parent_node_id": "node_1262", + "improvement_over_parent": null + }, + "node_1264": { + "node_id": "node_1264", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n\nPerformance:\n Mass: 195.47 kg\n Factor of Safety: 1.23\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.4669200734235, + "fos_buckling": 1.2250201752770367, + "fos_yielding": 2.067020235503326, + "deflection": 0.0051389534074631794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_1263", + "improvement_over_parent": null + }, + "node_1265": { + "node_id": "node_1265", + "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n\nPerformance:\n Mass: 197.58 kg\n Factor of Safety: 1.22\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.58056592572333, + "fos_buckling": 1.2156728242903276, + "fos_yielding": 2.0676299283320145, + "deflection": 0.005107913865560088, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.276)" + }, + "parent_node_id": "node_1264", + "improvement_over_parent": null + }, + "node_1266": { + "node_id": "node_1266", + "content": "MODIFICATION: Increase 17 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0049)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n\nPerformance:\n Mass: 202.89 kg\n Factor of Safety: 1.20\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.88661826158616, + "fos_buckling": 1.1993045415502515, + "fos_yielding": 2.070920337360186, + "deflection": 0.005017839161531023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.359)" + }, + "parent_node_id": "node_1265", + "improvement_over_parent": null + }, + "node_1267": { + "node_id": "node_1267", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0049)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0065)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 261.07 kg\n Factor of Safety: 1.48\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.07350964733956, + "fos_buckling": 1.4824375047426213, + "fos_yielding": 2.6597681441700294, + "deflection": 0.0039111310198600875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 186)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\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 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 186.80 kg\n Factor of Safety: 0.75\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.8045253751184, + "fos_buckling": 0.7494081871960402, + "fos_yielding": 2.0226617391468915, + "deflection": 0.0061427328838201106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003354)" + }, + "parent_node_id": "node_1269", + "improvement_over_parent": null + }, + "node_1271": { + "node_id": "node_1271", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 208.45 kg\n Factor of Safety: 0.82\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.44851833487837, + "fos_buckling": 0.8216906478525946, + "fos_yielding": 2.2577407493669086, + "deflection": 0.005511498893611182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1270", + "improvement_over_parent": null + }, + "node_1272": { + "node_id": "node_1272", + "content": "MODIFICATION: Increase 15 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 209.77 kg\n Factor of Safety: 0.82\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.7719053031241, + "fos_buckling": 0.8215976431778752, + "fos_yielding": 2.2600098990362505, + "deflection": 0.00552582516354544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.330)" + }, + "parent_node_id": "node_1271", + "improvement_over_parent": null + }, + "node_1273": { + "node_id": "node_1273", + "content": "MODIFICATION: Increase 17 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 216.26 kg\n Factor of Safety: 0.82\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.25980682810805, + "fos_buckling": 0.8208385059306765, + "fos_yielding": 2.189712203015983, + "deflection": 0.00544245572079138, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.605)" + }, + "parent_node_id": "node_1272", + "improvement_over_parent": null + }, + "node_1274": { + "node_id": "node_1274", + "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 218.11 kg\n Factor of Safety: 0.82\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.1121671577969, + "fos_buckling": 0.82062202207941, + "fos_yielding": 2.272552558682386, + "deflection": 0.005297998169257697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.335)" + }, + "parent_node_id": "node_1273", + "improvement_over_parent": null + }, + "node_1275": { + "node_id": "node_1275", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n Mass: 222.18 kg\n Factor of Safety: 1.36\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.18028643264194, + "fos_buckling": 1.3641904193420733, + "fos_yielding": 2.2894499526653918, + "deflection": 0.004580339914830312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002529)" + }, + "parent_node_id": "node_1274", + "improvement_over_parent": null + }, + "node_1276": { + "node_id": "node_1276", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.57 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5736856165082, + "fos_buckling": 1.5410654118407772, + "fos_yielding": 2.6498738652386953, + "deflection": 0.003959021966166568, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 187)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 176.96 kg\n Factor of Safety: 0.17\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.95930366275115, + "fos_buckling": 0.1712564349540417, + "fos_yielding": 0.9426607454173214, + "deflection": 0.010855655927643489, + "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: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n\nPerformance:\n Mass: 204.55 kg\n Factor of Safety: 0.81\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.55318531316473, + "fos_buckling": 0.8079821579489916, + "fos_yielding": 2.065924579167201, + "deflection": 0.005098291348527209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005034)" + }, + "parent_node_id": "node_1278", + "improvement_over_parent": null + }, + "node_1280": { + "node_id": "node_1280", + "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n\nPerformance:\n Mass: 206.83 kg\n Factor of Safety: 0.81\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.83051742013987, + "fos_buckling": 0.8078761103287303, + "fos_yielding": 2.0656547893690824, + "deflection": 0.005107306536702892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.548)" + }, + "parent_node_id": "node_1279", + "improvement_over_parent": null + }, + "node_1281": { + "node_id": "node_1281", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 239.59 kg\n Factor of Safety: 0.91\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.58922232802092, + "fos_buckling": 0.9125228487711723, + "fos_yielding": 2.3888927346470483, + "deflection": 0.0044170060336680495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_1280", + "improvement_over_parent": null + }, + "node_1282": { + "node_id": "node_1282", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.63 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6317585307686, + "fos_buckling": 1.541346635996582, + "fos_yielding": 2.650478876569974, + "deflection": 0.003958246349839078, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_1281", + "improvement_over_parent": null + }, + "node_1283": { + "node_id": "node_1283", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1282", + "improvement_over_parent": null + }, + "node_1284": { + "node_id": "node_1284", + "content": "INITIAL DESIGN (Trace 188)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 148.60 kg\n Factor of Safety: 0.61\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.6033184433757, + "fos_buckling": 0.6099672631910632, + "fos_yielding": 1.6827337115750038, + "deflection": 0.008143630590071171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1285": { + "node_id": "node_1285", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n\nPerformance:\n Mass: 157.75 kg\n Factor of Safety: 0.66\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.75319634849336, + "fos_buckling": 0.6581332244973888, + "fos_yielding": 1.7576669770941664, + "deflection": 0.006844039254827398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002498)" + }, + "parent_node_id": "node_1284", + "improvement_over_parent": null + }, + "node_1286": { + "node_id": "node_1286", + "content": "MODIFICATION: Increase 12 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n\nPerformance:\n Mass: 159.44 kg\n Factor of Safety: 0.66\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.44060565411198, + "fos_buckling": 0.6581332244973888, + "fos_yielding": 1.7576669770941664, + "deflection": 0.006844039254827398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.325)" + }, + "parent_node_id": "node_1285", + "improvement_over_parent": null + }, + "node_1287": { + "node_id": "node_1287", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 192.82 kg\n Factor of Safety: 0.78\n Max Deflection: 5.67e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.81932973339605, + "fos_buckling": 0.7750165846477113, + "fos_yielding": 2.122259840859468, + "deflection": 0.005670630318690852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1286", + "improvement_over_parent": null + }, + "node_1288": { + "node_id": "node_1288", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 207.31 kg\n Factor of Safety: 1.29\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.30881979909358, + "fos_buckling": 1.2864864932198008, + "fos_yielding": 2.1374884415979594, + "deflection": 0.004905116157734732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003503)" + }, + "parent_node_id": "node_1287", + "improvement_over_parent": null + }, + "node_1289": { + "node_id": "node_1289", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53374821217335, + "fos_buckling": 1.5407639708127403, + "fos_yielding": 2.649260097464085, + "deflection": 0.003959953869838018, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_1288", + "improvement_over_parent": null + }, + "node_1290": { + "node_id": "node_1290", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1289", + "improvement_over_parent": null + }, + "node_1291": { + "node_id": "node_1291", + "content": "INITIAL DESIGN (Trace 189)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n Mass: 129.70 kg\n Factor of Safety: 0.04\n Max Deflection: 2.47e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.703226045552, + "fos_buckling": 0.04469684656325442, + "fos_yielding": 0.2643842703083963, + "deflection": 24730916283894.6, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1292": { + "node_id": "node_1292", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n\nPerformance:\n Mass: 150.89 kg\n Factor of Safety: 0.48\n Max Deflection: 8.48e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.89168701876227, + "fos_buckling": 0.4767856955359703, + "fos_yielding": 1.6157414159975434, + "deflection": 0.008477855514832836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003794)" + }, + "parent_node_id": "node_1291", + "improvement_over_parent": null + }, + "node_1293": { + "node_id": "node_1293", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 164.99 kg\n Factor of Safety: 0.74\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.9852471527115, + "fos_buckling": 0.7375058891768226, + "fos_yielding": 1.615380533085046, + "deflection": 0.00686780102122382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003094)" + }, + "parent_node_id": "node_1292", + "improvement_over_parent": null + }, + "node_1294": { + "node_id": "node_1294", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 208.47 kg\n Factor of Safety: 0.92\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.47307087119194, + "fos_buckling": 0.9177334200626788, + "fos_yielding": 2.0369755167835266, + "deflection": 0.005447732319714673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1293", + "improvement_over_parent": null + }, + "node_1295": { + "node_id": "node_1295", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 212.66 kg\n Factor of Safety: 1.07\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.66281641311042, + "fos_buckling": 1.0675113607511, + "fos_yielding": 2.203279402774647, + "deflection": 0.004802829095922589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002523)" + }, + "parent_node_id": "node_1294", + "improvement_over_parent": null + }, + "node_1296": { + "node_id": "node_1296", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 254.14 kg\n Factor of Safety: 1.26\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.13645237726928, + "fos_buckling": 1.257427532619499, + "fos_yielding": 2.6280371363893082, + "deflection": 0.004027912539507423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_1295", + "improvement_over_parent": null + }, + "node_1297": { + "node_id": "node_1297", + "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0049)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.74 kg\n Factor of Safety: 1.31\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.7411184386302, + "fos_buckling": 1.3115529103493473, + "fos_yielding": 2.631507607997076, + "deflection": 0.004010423364713336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.637)" + }, + "parent_node_id": "node_1296", + "improvement_over_parent": null + }, + "node_1298": { + "node_id": "node_1298", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1297", + "improvement_over_parent": null + }, + "node_1299": { + "node_id": "node_1299", + "content": "INITIAL DESIGN (Trace 190)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.88 kg\n Factor of Safety: 0.75\n Max Deflection: 3.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.88141296072902, + "fos_buckling": 0.7525336243454886, + "fos_yielding": 2.5666052591487656, + "deflection": 0.0038813552711577464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1300": { + "node_id": "node_1300", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 254.72 kg\n Factor of Safety: 1.51\n Max Deflection: 4.02e-03 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.72017597870848, + "fos_buckling": 1.5061946549758265, + "fos_yielding": 2.652843175031782, + "deflection": 0.004024877973767714, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_1299", + "improvement_over_parent": null + }, + "node_1301": { + "node_id": "node_1301", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 255.50 kg\n Factor of Safety: 1.51\n Max Deflection: 4.01e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.50025586284607, + "fos_buckling": 1.50640379427468, + "fos_yielding": 2.6508502261338625, + "deflection": 0.004014324346667199, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.203)" + }, + "parent_node_id": "node_1300", + "improvement_over_parent": null + }, + "node_1302": { + "node_id": "node_1302", + "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53204366922387, + "fos_buckling": 1.5407929373290845, + "fos_yielding": 2.649373302837574, + "deflection": 0.003959855721810391, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.629)" + }, + "parent_node_id": "node_1301", + "improvement_over_parent": null + }, + "node_1303": { + "node_id": "node_1303", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1302", + "improvement_over_parent": null + }, + "node_1304": { + "node_id": "node_1304", + "content": "INITIAL DESIGN (Trace 191)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 170.59 kg\n Factor of Safety: 0.93\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.59167323055877, + "fos_buckling": 0.9297140856233991, + "fos_yielding": 1.8610214582374358, + "deflection": 0.006114702550747438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1305": { + "node_id": "node_1305", + "content": "MODIFICATION: Increase 15 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 175.36 kg\n Factor of Safety: 0.90\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.35721430187328, + "fos_buckling": 0.9047061073423026, + "fos_yielding": 1.8605999851859483, + "deflection": 0.006001876377941596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.565)" + }, + "parent_node_id": "node_1304", + "improvement_over_parent": null + }, + "node_1306": { + "node_id": "node_1306", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n\nPerformance:\n Mass: 180.43 kg\n Factor of Safety: 0.93\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.4332798057184, + "fos_buckling": 0.929354070067336, + "fos_yielding": 1.8603008101527239, + "deflection": 0.005887537134268005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002232)" + }, + "parent_node_id": "node_1305", + "improvement_over_parent": null + }, + "node_1307": { + "node_id": "node_1307", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n\nPerformance:\n Mass: 195.02 kg\n Factor of Safety: 1.17\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.01812291749098, + "fos_buckling": 1.165587647839488, + "fos_yielding": 2.0212864902051746, + "deflection": 0.005139108446767743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003410)" + }, + "parent_node_id": "node_1306", + "improvement_over_parent": null + }, + "node_1308": { + "node_id": "node_1308", + "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n\nPerformance:\n Mass: 196.80 kg\n Factor of Safety: 1.23\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.79534427130346, + "fos_buckling": 1.2305284344074887, + "fos_yielding": 2.0302076445205763, + "deflection": 0.0051639064930873915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.451)" + }, + "parent_node_id": "node_1307", + "improvement_over_parent": null + }, + "node_1309": { + "node_id": "node_1309", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 229.62 kg\n Factor of Safety: 1.40\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.6228650541366, + "fos_buckling": 1.4022838464560967, + "fos_yielding": 2.365315056779363, + "deflection": 0.004434052953955403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1308", + "improvement_over_parent": null + }, + "node_1310": { + "node_id": "node_1310", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.62 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6236507379629, + "fos_buckling": 1.5412921169551979, + "fos_yielding": 2.6503572692719715, + "deflection": 0.003958502123107127, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 192)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 162.20 kg\n Factor of Safety: 0.55\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.20168451781734, + "fos_buckling": 0.5456368943529984, + "fos_yielding": 1.7168941477978317, + "deflection": 0.007578036867134453, + "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 all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 209.70 kg\n Factor of Safety: 0.67\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.7048887738821, + "fos_buckling": 0.6745990334006006, + "fos_yielding": 2.225719020964371, + "deflection": 0.0058769457014433805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_1312", + "improvement_over_parent": null + }, + "node_1314": { + "node_id": "node_1314", + "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 211.01 kg\n Factor of Safety: 0.67\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.00780833729635, + "fos_buckling": 0.6745241149772003, + "fos_yielding": 2.225650004492328, + "deflection": 0.005877263675915387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.335)" + }, + "parent_node_id": "node_1313", + "improvement_over_parent": null + }, + "node_1315": { + "node_id": "node_1315", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 232.26 kg\n Factor of Safety: 0.91\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.2629344191885, + "fos_buckling": 0.9126680078611682, + "fos_yielding": 2.2245247111925504, + "deflection": 0.005045564247566385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_1314", + "improvement_over_parent": null + }, + "node_1316": { + "node_id": "node_1316", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 234.53 kg\n Factor of Safety: 0.91\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.5342712002736, + "fos_buckling": 0.9124889262204684, + "fos_yielding": 2.3887093668142043, + "deflection": 0.004906991858107143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.309)" + }, + "parent_node_id": "node_1315", + "improvement_over_parent": null + }, + "node_1317": { + "node_id": "node_1317", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 252.58 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.57680740302126, + "fos_buckling": 1.1629139636817698, + "fos_yielding": 2.426903715809813, + "deflection": 0.0044812426808421985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_1316", + "improvement_over_parent": null + }, + "node_1318": { + "node_id": "node_1318", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.58 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5800340116876, + "fos_buckling": 1.5410686645643608, + "fos_yielding": 2.6506832199259582, + "deflection": 0.003958968965972441, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_1317", + "improvement_over_parent": null + }, + "node_1319": { + "node_id": "node_1319", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1318", + "improvement_over_parent": null + }, + "node_1320": { + "node_id": "node_1320", + "content": "INITIAL DESIGN (Trace 193)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n Mass: 183.10 kg\n Factor of Safety: 0.91\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.0976884068672, + "fos_buckling": 0.9112849010032116, + "fos_yielding": 2.019994599683955, + "deflection": 0.005464288481279773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1321": { + "node_id": "node_1321", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 202.69 kg\n Factor of Safety: 1.00\n Max Deflection: 4.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.688937609045, + "fos_buckling": 1.0002486581881387, + "fos_yielding": 2.233160037512618, + "deflection": 0.004941982643737415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_1320", + "improvement_over_parent": null + }, + "node_1322": { + "node_id": "node_1322", + "content": "MODIFICATION: Increase 19 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 204.87 kg\n Factor of Safety: 1.03\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.86541476938956, + "fos_buckling": 1.0312762639736461, + "fos_yielding": 2.2337090524773595, + "deflection": 0.0049058128770976366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.182)" + }, + "parent_node_id": "node_1321", + "improvement_over_parent": null + }, + "node_1323": { + "node_id": "node_1323", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 244.57 kg\n Factor of Safety: 1.21\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.56597387464865, + "fos_buckling": 1.2094620334384172, + "fos_yielding": 2.6597959002058778, + "deflection": 0.0041192109464727325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1322", + "improvement_over_parent": null + }, + "node_1324": { + "node_id": "node_1324", + "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 249.86 kg\n Factor of Safety: 1.21\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.86106262039067, + "fos_buckling": 1.208600085185892, + "fos_yielding": 2.650962680889221, + "deflection": 0.004073355532259184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.422)" + }, + "parent_node_id": "node_1323", + "improvement_over_parent": null + }, + "node_1325": { + "node_id": "node_1325", + "content": "MODIFICATION: Increase 20 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.34 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.344540566338, + "fos_buckling": 1.5399373294904157, + "fos_yielding": 2.647776348765826, + "deflection": 0.003962548333700489, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.597)" + }, + "parent_node_id": "node_1324", + "improvement_over_parent": null + }, + "node_1326": { + "node_id": "node_1326", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1325", + "improvement_over_parent": null + }, + "node_1327": { + "node_id": "node_1327", + "content": "INITIAL DESIGN (Trace 194)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 231.40 kg\n Factor of Safety: 0.67\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.40101027707226, + "fos_buckling": 0.6727444807077952, + "fos_yielding": 2.139771278275256, + "deflection": 0.0052166764545004615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1328": { + "node_id": "node_1328", + "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 232.38 kg\n Factor of Safety: 0.67\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.38297252866067, + "fos_buckling": 0.6726883166119205, + "fos_yielding": 2.139726376660338, + "deflection": 0.005216911416216411, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.235)" + }, + "parent_node_id": "node_1327", + "improvement_over_parent": null + }, + "node_1329": { + "node_id": "node_1329", + "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 234.77 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.76572068351004, + "fos_buckling": 0.6725520724528244, + "fos_yielding": 2.467817288988174, + "deflection": 0.005087088504165914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.364)" + }, + "parent_node_id": "node_1328", + "improvement_over_parent": null + }, + "node_1330": { + "node_id": "node_1330", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.02 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.0208467654022, + "fos_buckling": 1.5391750552726777, + "fos_yielding": 2.657823755010118, + "deflection": 0.003950686654637594, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_1329", + "improvement_over_parent": null + }, + "node_1331": { + "node_id": "node_1331", + "content": "MODIFICATION: Increase 16 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.537573536882, + "fos_buckling": 1.5408235136974056, + "fos_yielding": 2.6493778754645203, + "deflection": 0.003959759637375698, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.330)" + }, + "parent_node_id": "node_1330", + "improvement_over_parent": null + }, + "node_1332": { + "node_id": "node_1332", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1331", + "improvement_over_parent": null + }, + "node_1333": { + "node_id": "node_1333", + "content": "INITIAL DESIGN (Trace 195)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 171.41 kg\n Factor of Safety: 0.72\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.40548127373054, + "fos_buckling": 0.7157751740710232, + "fos_yielding": 1.3531326560000454, + "deflection": 0.007300322500844067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1334": { + "node_id": "node_1334", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 190.35 kg\n Factor of Safety: 0.78\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.35108493643116, + "fos_buckling": 0.7830448813491102, + "fos_yielding": 1.500873842716725, + "deflection": 0.006581116742629407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_1333", + "improvement_over_parent": null + }, + "node_1335": { + "node_id": "node_1335", + "content": "MODIFICATION: Increase 15 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 192.07 kg\n Factor of Safety: 0.78\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.06611758711247, + "fos_buckling": 0.7829287411961947, + "fos_yielding": 1.5006525140329405, + "deflection": 0.006574996120434658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.493)" + }, + "parent_node_id": "node_1334", + "improvement_over_parent": null + }, + "node_1336": { + "node_id": "node_1336", + "content": "MODIFICATION: Increase 14 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 195.35 kg\n Factor of Safety: 0.78\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.34794263419724, + "fos_buckling": 0.782706595571106, + "fos_yielding": 1.5002291693100163, + "deflection": 0.006520607188712995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.433)" + }, + "parent_node_id": "node_1335", + "improvement_over_parent": null + }, + "node_1337": { + "node_id": "node_1337", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 210.35 kg\n Factor of Safety: 0.80\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.35055760640174, + "fos_buckling": 0.79616598819708, + "fos_yielding": 2.1923656641718816, + "deflection": 0.005491308698182657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003631)" + }, + "parent_node_id": "node_1336", + "improvement_over_parent": null + }, + "node_1338": { + "node_id": "node_1338", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n Mass: 214.27 kg\n Factor of Safety: 1.32\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.27259877442344, + "fos_buckling": 1.3231573720945429, + "fos_yielding": 2.2086780012215748, + "deflection": 0.004747499340865051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002431)" + }, + "parent_node_id": "node_1337", + "improvement_over_parent": null + }, + "node_1339": { + "node_id": "node_1339", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.58587614941905, + "fos_buckling": 1.5411146658713621, + "fos_yielding": 2.6498972929129834, + "deflection": 0.003959074667744347, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_1338", + "improvement_over_parent": null + }, + "node_1340": { + "node_id": "node_1340", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1339", + "improvement_over_parent": null + }, + "node_1341": { + "node_id": "node_1341", + "content": "INITIAL DESIGN (Trace 196)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 135.95 kg\n Factor of Safety: 0.59\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.95113380213186, + "fos_buckling": 0.5870416182599081, + "fos_yielding": 1.4361857270153284, + "deflection": 0.007344260154265814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1342": { + "node_id": "node_1342", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 163.40 kg\n Factor of Safety: 0.69\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.40275483107064, + "fos_buckling": 0.6907960647631406, + "fos_yielding": 1.7238189260781975, + "deflection": 0.0061210223688431264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1341", + "improvement_over_parent": null + }, + "node_1343": { + "node_id": "node_1343", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n\nPerformance:\n Mass: 170.57 kg\n Factor of Safety: 0.69\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.57413000881638, + "fos_buckling": 0.6902244461812209, + "fos_yielding": 1.722398481154012, + "deflection": 0.006125832626759145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002563)" + }, + "parent_node_id": "node_1342", + "improvement_over_parent": null + }, + "node_1344": { + "node_id": "node_1344", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n Mass: 203.11 kg\n Factor of Safety: 0.80\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.10597760158055, + "fos_buckling": 0.8018031255822975, + "fos_yielding": 2.047388422151587, + "deflection": 0.005154521955971828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_1343", + "improvement_over_parent": null + }, + "node_1345": { + "node_id": "node_1345", + "content": "MODIFICATION: Increase 16 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0062)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n Mass: 211.50 kg\n Factor of Safety: 1.09\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.49516999557255, + "fos_buckling": 1.093827213780624, + "fos_yielding": 2.0459117202266888, + "deflection": 0.004902303371006057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.529)" + }, + "parent_node_id": "node_1344", + "improvement_over_parent": null + }, + "node_1346": { + "node_id": "node_1346", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0073)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 246.88 kg\n Factor of Safety: 1.22\n Max Deflection: 4.21e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.87883645724614, + "fos_buckling": 1.2184621574878893, + "fos_yielding": 2.3861704846213203, + "deflection": 0.004208406869140373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1345", + "improvement_over_parent": null + }, + "node_1347": { + "node_id": "node_1347", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0073)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 264.92 kg\n Factor of Safety: 1.54\n Max Deflection: 3.87e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 264.92137265999384, + "fos_buckling": 1.5363596580540861, + "fos_yielding": 2.665879745497997, + "deflection": 0.0038651194916968948, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 197)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 187.03 kg\n Factor of Safety: 0.60\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.03163600180753, + "fos_buckling": 0.6022662553551624, + "fos_yielding": 2.076784658971246, + "deflection": 0.006626025717631649, + "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 9 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 189.72 kg\n Factor of Safety: 0.60\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.7213349048915, + "fos_buckling": 0.6020811988397778, + "fos_yielding": 2.076143564170324, + "deflection": 0.006621636619449948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.488)" + }, + "parent_node_id": "node_1349", + "improvement_over_parent": null + }, + "node_1351": { + "node_id": "node_1351", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n\nPerformance:\n Mass: 194.06 kg\n Factor of Safety: 0.60\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.06135395872022, + "fos_buckling": 0.6020065805884508, + "fos_yielding": 2.0758850632635384, + "deflection": 0.006038509116754056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002621)" + }, + "parent_node_id": "node_1350", + "improvement_over_parent": null + }, + "node_1352": { + "node_id": "node_1352", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 223.83 kg\n Factor of Safety: 0.68\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.82575420335473, + "fos_buckling": 0.6763664278915869, + "fos_yielding": 2.3897484128252873, + "deflection": 0.0052464074719429715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1351", + "improvement_over_parent": null + }, + "node_1353": { + "node_id": "node_1353", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 230.47 kg\n Factor of Safety: 0.91\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.46835443217407, + "fos_buckling": 0.9121767944475258, + "fos_yielding": 2.3888393027895303, + "deflection": 0.004493613185835801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_1352", + "improvement_over_parent": null + }, + "node_1354": { + "node_id": "node_1354", + "content": "MODIFICATION: Increase 19 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0047)]\n\nPerformance:\n Mass: 233.79 kg\n Factor of Safety: 0.91\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.79438372631523, + "fos_buckling": 0.9123515219047587, + "fos_yielding": 2.388384360359845, + "deflection": 0.004430260150789135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.585)" + }, + "parent_node_id": "node_1353", + "improvement_over_parent": null + }, + "node_1355": { + "node_id": "node_1355", + "content": "MODIFICATION: Increase 16 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0047)]\n\nPerformance:\n Mass: 239.56 kg\n Factor of Safety: 0.91\n Max Deflection: 4.37e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.56148401718923, + "fos_buckling": 0.9125030586322539, + "fos_yielding": 2.387990081525543, + "deflection": 0.004372808536535068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.366)" + }, + "parent_node_id": "node_1354", + "improvement_over_parent": null + }, + "node_1356": { + "node_id": "node_1356", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0047)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.26\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.6040202199369, + "fos_buckling": 1.2582583125377826, + "fos_yielding": 2.6631973882181565, + "deflection": 0.004007123554679693, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 198)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 235.01 kg\n Factor of Safety: 0.58\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.00507989771464, + "fos_buckling": 0.5832793584034925, + "fos_yielding": 2.266534323077104, + "deflection": 0.00566033252809542, + "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 2 and 6\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 241.56 kg\n Factor of Safety: 0.67\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.56386808586424, + "fos_buckling": 0.6688972471791603, + "fos_yielding": 2.2652624501779806, + "deflection": 0.0056456838111446144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_1358", + "improvement_over_parent": null + }, + "node_1360": { + "node_id": "node_1360", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 248.21 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.20646831468358, + "fos_buckling": 0.9260291002595059, + "fos_yielding": 2.6301267235845773, + "deflection": 0.004579448762848654, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_1359", + "improvement_over_parent": null + }, + "node_1361": { + "node_id": "node_1361", + "content": "MODIFICATION: Increase 18 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0037)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 250.37 kg\n Factor of Safety: 0.93\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.36966207290936, + "fos_buckling": 0.925858405556412, + "fos_yielding": 2.618644287663259, + "deflection": 0.004591521753651333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.377)" + }, + "parent_node_id": "node_1360", + "improvement_over_parent": null + }, + "node_1362": { + "node_id": "node_1362", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0037)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 255.09 kg\n Factor of Safety: 1.50\n Max Deflection: 4.02e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.08648132227094, + "fos_buckling": 1.5023853260112425, + "fos_yielding": 2.63892203780044, + "deflection": 0.004015745299562865, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_1361", + "improvement_over_parent": null + }, + "node_1363": { + "node_id": "node_1363", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1362", + "improvement_over_parent": null + }, + "node_1364": { + "node_id": "node_1364", + "content": "INITIAL DESIGN (Trace 199)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 202.65 kg\n Factor of Safety: 0.62\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.65471940798477, + "fos_buckling": 0.6169056672594012, + "fos_yielding": 2.043249830022803, + "deflection": 0.006073543134923475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1365": { + "node_id": "node_1365", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 221.46 kg\n Factor of Safety: 0.85\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.45658925329465, + "fos_buckling": 0.8476714213597688, + "fos_yielding": 2.2049485945330862, + "deflection": 0.00518206495987449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004249)" + }, + "parent_node_id": "node_1364", + "improvement_over_parent": null + }, + "node_1366": { + "node_id": "node_1366", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 246.90 kg\n Factor of Safety: 0.93\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.90390874623637, + "fos_buckling": 0.9257686546936745, + "fos_yielding": 2.4618343034670365, + "deflection": 0.004655288176145111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1365", + "improvement_over_parent": null + }, + "node_1367": { + "node_id": "node_1367", + "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 248.69 kg\n Factor of Safety: 0.93\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.685188655574, + "fos_buckling": 0.9257686546936745, + "fos_yielding": 2.4618343034670365, + "deflection": 0.004655288176145111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.217)" + }, + "parent_node_id": "node_1366", + "improvement_over_parent": null + }, + "node_1368": { + "node_id": "node_1368", + "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 250.71 kg\n Factor of Safety: 0.93\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.71069972275905, + "fos_buckling": 0.9257154040704858, + "fos_yielding": 2.633840883622535, + "deflection": 0.004601928296776616, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.351)" + }, + "parent_node_id": "node_1367", + "improvement_over_parent": null + }, + "node_1369": { + "node_id": "node_1369", + "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 252.85 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.84896770821265, + "fos_buckling": 0.9257154040704864, + "fos_yielding": 2.6299980623184798, + "deflection": 0.004580033826171179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.252)" + }, + "parent_node_id": "node_1368", + "improvement_over_parent": null + }, + "node_1370": { + "node_id": "node_1370", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.57 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.56578695757423, + "fos_buckling": 1.5409628780029818, + "fos_yielding": 2.649537010411333, + "deflection": 0.00395944921316443, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_1369", + "improvement_over_parent": null + }, + "node_1371": { + "node_id": "node_1371", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1370", + "improvement_over_parent": null + }, + "node_1372": { + "node_id": "node_1372", + "content": "INITIAL DESIGN (Trace 200)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0013)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0016)]\n\nPerformance:\n Mass: 130.50 kg\n Factor of Safety: 0.68\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.50251479702715, + "fos_buckling": 0.6833678712889958, + "fos_yielding": 1.3168274402423623, + "deflection": 0.008429406693222057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1373": { + "node_id": "node_1373", + "content": "MODIFICATION: Increase 19 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0013)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 134.29 kg\n Factor of Safety: 0.68\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.2887204616921, + "fos_buckling": 0.6833268170972356, + "fos_yielding": 1.3167483301634177, + "deflection": 0.008245835838884101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.515)" + }, + "parent_node_id": "node_1372", + "improvement_over_parent": null + }, + "node_1374": { + "node_id": "node_1374", + "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 136.34 kg\n Factor of Safety: 0.68\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.34472531367228, + "fos_buckling": 0.6833268170972364, + "fos_yielding": 1.3167483301634206, + "deflection": 0.0082458358388841, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.522)" + }, + "parent_node_id": "node_1373", + "improvement_over_parent": null + }, + "node_1375": { + "node_id": "node_1375", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n\nPerformance:\n Mass: 139.05 kg\n Factor of Safety: 0.91\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.04571265407884, + "fos_buckling": 0.9052130953683586, + "fos_yielding": 1.4382138241976004, + "deflection": 0.007284206333791609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001583)" + }, + "parent_node_id": "node_1374", + "improvement_over_parent": null + }, + "node_1376": { + "node_id": "node_1376", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n\nPerformance:\n Mass: 177.67 kg\n Factor of Safety: 1.13\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.67155881766038, + "fos_buckling": 1.1260343932786903, + "fos_yielding": 1.834488985535427, + "deflection": 0.005713381097678041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1375", + "improvement_over_parent": null + }, + "node_1377": { + "node_id": "node_1377", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 215.08 kg\n Factor of Safety: 1.33\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.07753459902466, + "fos_buckling": 1.3272936958965684, + "fos_yielding": 2.216915583421281, + "deflection": 0.0047299285623607825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1376", + "improvement_over_parent": null + }, + "node_1378": { + "node_id": "node_1378", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.77 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7657080921617, + "fos_buckling": 1.5419122208440612, + "fos_yielding": 2.6517512151430047, + "deflection": 0.003956335153336672, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_1377", + "improvement_over_parent": null + }, + "node_1379": { + "node_id": "node_1379", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1378", + "improvement_over_parent": null + }, + "node_1380": { + "node_id": "node_1380", + "content": "INITIAL DESIGN (Trace 201)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 209.51 kg\n Factor of Safety: 0.27\n Max Deflection: 9.05e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.5131285265767, + "fos_buckling": 0.2697420365860608, + "fos_yielding": 1.3477800544665517, + "deflection": 0.009049330564584632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1381": { + "node_id": "node_1381", + "content": "MODIFICATION: Increase 17 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 216.96 kg\n Factor of Safety: 0.27\n Max Deflection: 9.02e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.96301855145677, + "fos_buckling": 0.2683550329370749, + "fos_yielding": 1.3473037404233046, + "deflection": 0.009020310539749011, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.605)" + }, + "parent_node_id": "node_1380", + "improvement_over_parent": null + }, + "node_1382": { + "node_id": "node_1382", + "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 218.19 kg\n Factor of Safety: 0.27\n Max Deflection: 9.01e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.19287266868147, + "fos_buckling": 0.2682536487531456, + "fos_yielding": 1.347277539661814, + "deflection": 0.009011668290535664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.387)" + }, + "parent_node_id": "node_1381", + "improvement_over_parent": null + }, + "node_1383": { + "node_id": "node_1383", + "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 220.11 kg\n Factor of Safety: 0.27\n Max Deflection: 8.96e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.113948789817, + "fos_buckling": 0.26763924710403314, + "fos_yielding": 1.3471547736573044, + "deflection": 0.008959864138795052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.295)" + }, + "parent_node_id": "node_1382", + "improvement_over_parent": null + }, + "node_1384": { + "node_id": "node_1384", + "content": "MODIFICATION: Increase 13 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 225.57 kg\n Factor of Safety: 0.27\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.56712745749726, + "fos_buckling": 0.26764886250614395, + "fos_yielding": 1.4547581124334845, + "deflection": 0.008135429067237363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.439)" + }, + "parent_node_id": "node_1383", + "improvement_over_parent": null + }, + "node_1385": { + "node_id": "node_1385", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5170698312348, + "fos_buckling": 1.5407566638684156, + "fos_yielding": 2.649374328072616, + "deflection": 0.003960051382104437, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_1384", + "improvement_over_parent": null + }, + "node_1386": { + "node_id": "node_1386", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1385", + "improvement_over_parent": null + }, + "node_1387": { + "node_id": "node_1387", + "content": "INITIAL DESIGN (Trace 202)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 161.93 kg\n Factor of Safety: 0.81\n Max Deflection: 6.92e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.92993069597452, + "fos_buckling": 0.8050717229425174, + "fos_yielding": 1.5799382127735657, + "deflection": 0.006916104651979452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1388": { + "node_id": "node_1388", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 205.44 kg\n Factor of Safety: 0.99\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.4353350292764, + "fos_buckling": 0.9891403358696592, + "fos_yielding": 2.000230084111544, + "deflection": 0.00546570096581359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1387", + "improvement_over_parent": null + }, + "node_1389": { + "node_id": "node_1389", + "content": "MODIFICATION: Increase 18 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 207.75 kg\n Factor of Safety: 0.99\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.75313139103957, + "fos_buckling": 0.989104072194978, + "fos_yielding": 2.00015675205701, + "deflection": 0.0054341022505494125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.200)" + }, + "parent_node_id": "node_1388", + "improvement_over_parent": null + }, + "node_1390": { + "node_id": "node_1390", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.78 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.77542881957984, + "fos_buckling": 1.1636656935642584, + "fos_yielding": 2.428822715745109, + "deflection": 0.004477895074906748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1389", + "improvement_over_parent": null + }, + "node_1391": { + "node_id": "node_1391", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.78 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.77865542824617, + "fos_buckling": 1.5420154461694255, + "fos_yielding": 2.652002205369013, + "deflection": 0.00395609047094103, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_1390", + "improvement_over_parent": null + }, + "node_1392": { + "node_id": "node_1392", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1391", + "improvement_over_parent": null + }, + "node_1393": { + "node_id": "node_1393", + "content": "INITIAL DESIGN (Trace 203)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n\nPerformance:\n Mass: 113.02 kg\n Factor of Safety: 0.16\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": 113.01550243737535, + "fos_buckling": 0.1577654868162043, + "fos_yielding": 0.8083227630658544, + "deflection": 0.015798024246684046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1394": { + "node_id": "node_1394", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 124.77 kg\n Factor of Safety: 0.16\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": 124.77288043441263, + "fos_buckling": 0.1602289779204293, + "fos_yielding": 0.8081718806361848, + "deflection": 0.014646395235566672, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002556)" + }, + "parent_node_id": "node_1393", + "improvement_over_parent": null + }, + "node_1395": { + "node_id": "node_1395", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 156.95 kg\n Factor of Safety: 0.20\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": 156.9461817635438, + "fos_buckling": 0.19664597213185697, + "fos_yielding": 1.0151421077459597, + "deflection": 0.011659255665377342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_1394", + "improvement_over_parent": null + }, + "node_1396": { + "node_id": "node_1396", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 175.83 kg\n Factor of Safety: 0.22\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.82808687533816, + "fos_buckling": 0.21708580719737186, + "fos_yielding": 1.1363398501144417, + "deflection": 0.010415206156964441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1395", + "improvement_over_parent": null + }, + "node_1397": { + "node_id": "node_1397", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n\nPerformance:\n Mass: 200.72 kg\n Factor of Safety: 1.25\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.7206443077804, + "fos_buckling": 1.2512152888889412, + "fos_yielding": 2.0703641269125646, + "deflection": 0.005064005186945678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004505)" + }, + "parent_node_id": "node_1396", + "improvement_over_parent": null + }, + "node_1398": { + "node_id": "node_1398", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.58814605122444, + "fos_buckling": 1.5407205099344246, + "fos_yielding": 2.6500387251744923, + "deflection": 0.003958991008786866, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_1397", + "improvement_over_parent": null + }, + "node_1399": { + "node_id": "node_1399", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1398", + "improvement_over_parent": null + }, + "node_1400": { + "node_id": "node_1400", + "content": "INITIAL DESIGN (Trace 204)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 176.52 kg\n Factor of Safety: 0.80\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.51681200891403, + "fos_buckling": 0.7952851943359128, + "fos_yielding": 1.5683817682821657, + "deflection": 0.005833001744343516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1401": { + "node_id": "node_1401", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 213.28 kg\n Factor of Safety: 0.94\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.2845450087029, + "fos_buckling": 0.9440164688517494, + "fos_yielding": 1.897968852288352, + "deflection": 0.004835915470285745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1400", + "improvement_over_parent": null + }, + "node_1402": { + "node_id": "node_1402", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.46 kg\n Factor of Safety: 1.08\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.45749635395796, + "fos_buckling": 1.0807567524812263, + "fos_yielding": 2.214608039280957, + "deflection": 0.004158189130300326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1401", + "improvement_over_parent": null + }, + "node_1403": { + "node_id": "node_1403", + "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.74 kg\n Factor of Safety: 1.32\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.7393881192894, + "fos_buckling": 1.3248225264856386, + "fos_yielding": 2.6341336458727698, + "deflection": 0.004037564899646914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.344)" + }, + "parent_node_id": "node_1402", + "improvement_over_parent": null + }, + "node_1404": { + "node_id": "node_1404", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.38 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.38198834810873, + "fos_buckling": 1.5400630918028355, + "fos_yielding": 2.6478162629160997, + "deflection": 0.00396209438127498, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_1403", + "improvement_over_parent": null + }, + "node_1405": { + "node_id": "node_1405", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1404", + "improvement_over_parent": null + }, + "node_1406": { + "node_id": "node_1406", + "content": "INITIAL DESIGN (Trace 205)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 124.11 kg\n Factor of Safety: 0.03\n Max Deflection: 1.13e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.11429079418137, + "fos_buckling": 0.02898842432715844, + "fos_yielding": 0.07827783253273281, + "deflection": 112720831046610.9, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1407": { + "node_id": "node_1407", + "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 125.24 kg\n Factor of Safety: 0.54\n Max Deflection: 4.33e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.23559068507527, + "fos_buckling": 0.5435965095158046, + "fos_yielding": 1.259620395913652, + "deflection": 4329211389247.07, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.616)" + }, + "parent_node_id": "node_1406", + "improvement_over_parent": null + }, + "node_1408": { + "node_id": "node_1408", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n\nPerformance:\n Mass: 128.84 kg\n Factor of Safety: 0.37\n Max Deflection: 6.47e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.84320677802927, + "fos_buckling": 0.37444527769043506, + "fos_yielding": 0.6396105999015046, + "deflection": 6465955314478.679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001555)" + }, + "parent_node_id": "node_1407", + "improvement_over_parent": null + }, + "node_1409": { + "node_id": "node_1409", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n\nPerformance:\n Mass: 143.76 kg\n Factor of Safety: 0.79\n Max Deflection: 6.11e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.7624941690242, + "fos_buckling": 0.7860232050472197, + "fos_yielding": 1.6794938612182027, + "deflection": 6112800297168.493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_1408", + "improvement_over_parent": null + }, + "node_1410": { + "node_id": "node_1410", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n\nPerformance:\n Mass: 147.74 kg\n Factor of Safety: 0.62\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.74058789780975, + "fos_buckling": 0.6168115758030389, + "fos_yielding": 1.53271724105288, + "deflection": 0.007805481758559462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001564)" + }, + "parent_node_id": "node_1409", + "improvement_over_parent": null + }, + "node_1411": { + "node_id": "node_1411", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 156.08 kg\n Factor of Safety: 1.00\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.08094777060853, + "fos_buckling": 1.0042097247997077, + "fos_yielding": 1.6129724127573173, + "deflection": 0.006495778727542446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002265)" + }, + "parent_node_id": "node_1410", + "improvement_over_parent": null + }, + "node_1412": { + "node_id": "node_1412", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 203.51 kg\n Factor of Safety: 1.27\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.5119336251168, + "fos_buckling": 1.2663584842685875, + "fos_yielding": 2.098576981446938, + "deflection": 0.004995537229470882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_1411", + "improvement_over_parent": null + }, + "node_1413": { + "node_id": "node_1413", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.28 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.27858058407935, + "fos_buckling": 1.53952615079044, + "fos_yielding": 2.646508899907221, + "deflection": 0.003963825614223825, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_1412", + "improvement_over_parent": null + }, + "node_1414": { + "node_id": "node_1414", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1413", + "improvement_over_parent": null + }, + "node_1415": { + "node_id": "node_1415", + "content": "INITIAL DESIGN (Trace 206)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n\nPerformance:\n Mass: 152.08 kg\n Factor of Safety: 0.52\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.0806329618861, + "fos_buckling": 0.5169368810481064, + "fos_yielding": 1.7731042803817438, + "deflection": 0.0077643454240046835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1416": { + "node_id": "node_1416", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n\nPerformance:\n Mass: 165.97 kg\n Factor of Safety: 0.52\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.97215979248978, + "fos_buckling": 0.5167321145493552, + "fos_yielding": 1.805476517966415, + "deflection": 0.006948475491471205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003237)" + }, + "parent_node_id": "node_1415", + "improvement_over_parent": null + }, + "node_1417": { + "node_id": "node_1417", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 202.12 kg\n Factor of Safety: 0.61\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.1177317290194, + "fos_buckling": 0.6099857223320508, + "fos_yielding": 2.192269584749264, + "deflection": 0.005720163041803303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1416", + "improvement_over_parent": null + }, + "node_1418": { + "node_id": "node_1418", + "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 203.56 kg\n Factor of Safety: 0.61\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.55591347800055, + "fos_buckling": 0.6099607938593007, + "fos_yielding": 2.19217968929678, + "deflection": 0.005685422835628413, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.520)" + }, + "parent_node_id": "node_1417", + "improvement_over_parent": null + }, + "node_1419": { + "node_id": "node_1419", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 229.86 kg\n Factor of Safety: 0.67\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.86057027930045, + "fos_buckling": 0.6731753430328771, + "fos_yielding": 2.4703916208226784, + "deflection": 0.005043992610028902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_1418", + "improvement_over_parent": null + }, + "node_1420": { + "node_id": "node_1420", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 251.12 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.1156963611926, + "fos_buckling": 1.4365223743096505, + "fos_yielding": 2.719774251196656, + "deflection": 0.003885880690179199, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_1419", + "improvement_over_parent": null + }, + "node_1421": { + "node_id": "node_1421", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.67 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6744845493422, + "fos_buckling": 1.541605250074074, + "fos_yielding": 2.651025266099214, + "deflection": 0.003957567973677855, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_1420", + "improvement_over_parent": null + }, + "node_1422": { + "node_id": "node_1422", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1421", + "improvement_over_parent": null + }, + "node_1423": { + "node_id": "node_1423", + "content": "INITIAL DESIGN (Trace 207)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 140.49 kg\n Factor of Safety: 0.28\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": 140.48801302119804, + "fos_buckling": 0.28400930164514393, + "fos_yielding": 0.8605601649117024, + "deflection": 0.01994315500713879, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1424": { + "node_id": "node_1424", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n\nPerformance:\n Mass: 144.34 kg\n Factor of Safety: 0.83\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.33890912560278, + "fos_buckling": 0.8307455919652224, + "fos_yielding": 1.5020364383608877, + "deflection": 0.0070743062595421775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.001704)" + }, + "parent_node_id": "node_1423", + "improvement_over_parent": null + }, + "node_1425": { + "node_id": "node_1425", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n\nPerformance:\n Mass: 177.62 kg\n Factor of Safety: 1.00\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.61838729011484, + "fos_buckling": 1.0046915539582393, + "fos_yielding": 1.848130955082389, + "deflection": 0.005758853799106425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1424", + "improvement_over_parent": null + }, + "node_1426": { + "node_id": "node_1426", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n\nPerformance:\n Mass: 178.59 kg\n Factor of Safety: 1.01\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.58890567156666, + "fos_buckling": 1.0065485951807607, + "fos_yielding": 1.8515469839667609, + "deflection": 0.005736651077741614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.314)" + }, + "parent_node_id": "node_1425", + "improvement_over_parent": null + }, + "node_1427": { + "node_id": "node_1427", + "content": "MODIFICATION: Increase 17 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0046)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n\nPerformance:\n Mass: 183.88 kg\n Factor of Safety: 1.03\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.87630038126693, + "fos_buckling": 1.0322457356967156, + "fos_yielding": 1.8988168954709759, + "deflection": 0.005616135605577739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.387)" + }, + "parent_node_id": "node_1426", + "improvement_over_parent": null + }, + "node_1428": { + "node_id": "node_1428", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0046)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n\nPerformance:\n Mass: 184.71 kg\n Factor of Safety: 1.04\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.71006659734692, + "fos_buckling": 1.0381366612030485, + "fos_yielding": 1.902273487481489, + "deflection": 0.0056026038207001045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.190)" + }, + "parent_node_id": "node_1427", + "improvement_over_parent": null + }, + "node_1429": { + "node_id": "node_1429", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0032)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0054)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n\nPerformance:\n Mass: 214.63 kg\n Factor of Safety: 1.19\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.62764968631248, + "fos_buckling": 1.187979684101497, + "fos_yielding": 2.2080444920415734, + "deflection": 0.0048283573233371055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1428", + "improvement_over_parent": null + }, + "node_1430": { + "node_id": "node_1430", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0066)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 258.85 kg\n Factor of Safety: 1.40\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.8473405384031, + "fos_buckling": 1.4000655628671896, + "fos_yielding": 2.6588812565525557, + "deflection": 0.004011619487529708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1429", + "improvement_over_parent": null + }, + "node_1431": { + "node_id": "node_1431", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1430", + "improvement_over_parent": null + }, + "node_1432": { + "node_id": "node_1432", + "content": "INITIAL DESIGN (Trace 208)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 155.32 kg\n Factor of Safety: 0.01\n Max Deflection: 5.63e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.3180568188058, + "fos_buckling": 0.013006982762085556, + "fos_yielding": 0.04960765250881577, + "deflection": 563151868374352.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1433": { + "node_id": "node_1433", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 157.62 kg\n Factor of Safety: 0.01\n Max Deflection: 5.63e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.62051686859692, + "fos_buckling": 0.013006982762085556, + "fos_yielding": 0.03848299699525209, + "deflection": 563151868374351.8, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.468)" + }, + "parent_node_id": "node_1432", + "improvement_over_parent": null + }, + "node_1434": { + "node_id": "node_1434", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n Mass: 162.20 kg\n Factor of Safety: 0.24\n Max Deflection: 3.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.20148559002925, + "fos_buckling": 0.23793090620389032, + "fos_yielding": 0.8171249533972597, + "deflection": 0.03131694831403757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001816)" + }, + "parent_node_id": "node_1433", + "improvement_over_parent": null + }, + "node_1435": { + "node_id": "node_1435", + "content": "MODIFICATION: Increase 16 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0045)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n Mass: 167.81 kg\n Factor of Safety: 0.24\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": 167.8074552805692, + "fos_buckling": 0.23789256853928714, + "fos_yielding": 0.8167331152837992, + "deflection": 0.031093907715759105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.490)" + }, + "parent_node_id": "node_1434", + "improvement_over_parent": null + }, + "node_1436": { + "node_id": "node_1436", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0045)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n Mass: 173.84 kg\n Factor of Safety: 0.30\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.83899394562275, + "fos_buckling": 0.29532373523158695, + "fos_yielding": 1.7158703305960141, + "deflection": 0.006659224726414421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002729)" + }, + "parent_node_id": "node_1435", + "improvement_over_parent": null + }, + "node_1437": { + "node_id": "node_1437", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0052)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 198.21 kg\n Factor of Safety: 0.33\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.21262974739545, + "fos_buckling": 0.33193156908074206, + "fos_yielding": 1.9554420168561295, + "deflection": 0.005842984588954154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1436", + "improvement_over_parent": null + }, + "node_1438": { + "node_id": "node_1438", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0052)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 206.15 kg\n Factor of Safety: 1.01\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.15498934679127, + "fos_buckling": 1.01304621371346, + "fos_yielding": 2.1095580208975577, + "deflection": 0.005033776182373728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002859)" + }, + "parent_node_id": "node_1437", + "improvement_over_parent": null + }, + "node_1439": { + "node_id": "node_1439", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0066)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 258.56 kg\n Factor of Safety: 1.25\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.5550487177565, + "fos_buckling": 1.2462599438830355, + "fos_yielding": 2.6415961544829423, + "deflection": 0.004021451277865374, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1438", + "improvement_over_parent": null + }, + "node_1440": { + "node_id": "node_1440", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1439", + "improvement_over_parent": null + }, + "node_1441": { + "node_id": "node_1441", + "content": "INITIAL DESIGN (Trace 209)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 205.95 kg\n Factor of Safety: 1.04\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.94632732253623, + "fos_buckling": 1.0395159911533924, + "fos_yielding": 2.1676444013649685, + "deflection": 0.004929593152375658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1442": { + "node_id": "node_1442", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.53 kg\n Factor of Safety: 1.25\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.5294653780952, + "fos_buckling": 1.2472483069147897, + "fos_yielding": 2.6514508731801767, + "deflection": 0.004031062283747647, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_1441", + "improvement_over_parent": null + }, + "node_1443": { + "node_id": "node_1443", + "content": "MODIFICATION: Increase 12 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.00 kg\n Factor of Safety: 1.34\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.99892106424653, + "fos_buckling": 1.3437778285396356, + "fos_yielding": 2.6529627292184474, + "deflection": 0.0039839865605104845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.520)" + }, + "parent_node_id": "node_1442", + "improvement_over_parent": null + }, + "node_1444": { + "node_id": "node_1444", + "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.46 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4555441176085, + "fos_buckling": 1.5404520764415768, + "fos_yielding": 2.648657793364998, + "deflection": 0.003961013803083589, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.451)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 210)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\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_1447": { + "node_id": "node_1447", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n\nPerformance:\n Mass: 145.67 kg\n Factor of Safety: 0.08\n Max Deflection: 1.26e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.6692467539359, + "fos_buckling": 0.07683809241963575, + "fos_yielding": 0.9754539566586828, + "deflection": 12617945851236.988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002321)" + }, + "parent_node_id": "node_1446", + "improvement_over_parent": null + }, + "node_1448": { + "node_id": "node_1448", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n\nPerformance:\n Mass: 170.42 kg\n Factor of Safety: 0.70\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.42267970676977, + "fos_buckling": 0.6956633150964155, + "fos_yielding": 1.8871682816546542, + "deflection": 0.007331210928089753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004478)" + }, + "parent_node_id": "node_1447", + "improvement_over_parent": null + }, + "node_1449": { + "node_id": "node_1449", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 219.95 kg\n Factor of Safety: 0.86\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.9521627131397, + "fos_buckling": 0.8613795309651243, + "fos_yielding": 2.430572329984863, + "deflection": 0.0056976402599496784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1448", + "improvement_over_parent": null + }, + "node_1450": { + "node_id": "node_1450", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n\nPerformance:\n Mass: 223.08 kg\n Factor of Safety: 1.03\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.07731339035342, + "fos_buckling": 1.0338625939611652, + "fos_yielding": 2.4304522029929845, + "deflection": 0.005040277018422649, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001907)" + }, + "parent_node_id": "node_1449", + "improvement_over_parent": null + }, + "node_1451": { + "node_id": "node_1451", + "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0051)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n\nPerformance:\n Mass: 226.84 kg\n Factor of Safety: 1.03\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.84395176397766, + "fos_buckling": 1.03401647542605, + "fos_yielding": 2.4295838462932675, + "deflection": 0.005040808423158923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.560)" + }, + "parent_node_id": "node_1450", + "improvement_over_parent": null + }, + "node_1452": { + "node_id": "node_1452", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0051)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 240.59 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.59342023016507, + "fos_buckling": 1.163031960898811, + "fos_yielding": 2.4269461672149033, + "deflection": 0.004481635326255234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_1451", + "improvement_over_parent": null + }, + "node_1453": { + "node_id": "node_1453", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0051)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 259.68 kg\n Factor of Safety: 1.20\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.6831640049725, + "fos_buckling": 1.2033089908349233, + "fos_yielding": 2.659382601408089, + "deflection": 0.004010587867612582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 211)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\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_1456": { + "node_id": "node_1456", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n\nPerformance:\n Mass: 101.69 kg\n Factor of Safety: 0.15\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": 101.69404823254915, + "fos_buckling": 0.15179725629955404, + "fos_yielding": 0.7982278715488592, + "deflection": 0.01638354907813933, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001563)" + }, + "parent_node_id": "node_1455", + "improvement_over_parent": null + }, + "node_1457": { + "node_id": "node_1457", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n Mass: 123.49 kg\n Factor of Safety: 0.18\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": 123.48727303856349, + "fos_buckling": 0.1806640545407636, + "fos_yielding": 0.9683124614807018, + "deflection": 0.01350561001919792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1456", + "improvement_over_parent": null + }, + "node_1458": { + "node_id": "node_1458", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n\nPerformance:\n Mass: 144.68 kg\n Factor of Safety: 0.48\n Max Deflection: 7.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.67573401177376, + "fos_buckling": 0.47725164028576617, + "fos_yielding": 1.5900063353654725, + "deflection": 0.007885311011540849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003794)" + }, + "parent_node_id": "node_1457", + "improvement_over_parent": null + }, + "node_1459": { + "node_id": "node_1459", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n\nPerformance:\n Mass: 172.71 kg\n Factor of Safety: 0.56\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.71338065351947, + "fos_buckling": 0.5558851038053809, + "fos_yielding": 1.8953579882414573, + "deflection": 0.00661692406734339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_1458", + "improvement_over_parent": null + }, + "node_1460": { + "node_id": "node_1460", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 218.18 kg\n Factor of Safety: 0.67\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.18178446309773, + "fos_buckling": 0.6740289531038848, + "fos_yielding": 2.3886433611621687, + "deflection": 0.005252978092446361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1459", + "improvement_over_parent": null + }, + "node_1461": { + "node_id": "node_1461", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 236.22 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.2243206658454, + "fos_buckling": 0.6723063016143228, + "fos_yielding": 2.466779849007401, + "deflection": 0.005094465363976574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_1460", + "improvement_over_parent": null + }, + "node_1462": { + "node_id": "node_1462", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.47944674773754, + "fos_buckling": 1.5408551021346875, + "fos_yielding": 2.6485986485337945, + "deflection": 0.003960787468863893, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_1461", + "improvement_over_parent": null + }, + "node_1463": { + "node_id": "node_1463", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1462", + "improvement_over_parent": null + }, + "node_1464": { + "node_id": "node_1464", + "content": "INITIAL DESIGN (Trace 212)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0015)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0008)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0016)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0011)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0015)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0022)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n\nPerformance:\n Mass: 100.10 kg\n Factor of Safety: 0.55\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 100.09749477556743, + "fos_buckling": 0.5457266473848712, + "fos_yielding": 1.0458043197535882, + "deflection": 0.010100594148070826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1465": { + "node_id": "node_1465", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0010)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 127.46 kg\n Factor of Safety: 0.69\n Max Deflection: 7.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.46430988500305, + "fos_buckling": 0.6876033085481258, + "fos_yielding": 1.3299774825963633, + "deflection": 0.007944457209593667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_1464", + "improvement_over_parent": null + }, + "node_1466": { + "node_id": "node_1466", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0012)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 154.94 kg\n Factor of Safety: 0.83\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.9407334128851, + "fos_buckling": 0.8268754765013742, + "fos_yielding": 1.6145341785477079, + "deflection": 0.006545929528131863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1465", + "improvement_over_parent": null + }, + "node_1467": { + "node_id": "node_1467", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 175.95 kg\n Factor of Safety: 0.93\n Max Deflection: 5.77e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.95395227319594, + "fos_buckling": 0.9312380638019366, + "fos_yielding": 1.831645582748227, + "deflection": 0.0057711210790452085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1466", + "improvement_over_parent": null + }, + "node_1468": { + "node_id": "node_1468", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 177.07 kg\n Factor of Safety: 1.12\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.06518580194248, + "fos_buckling": 1.1227225345374459, + "fos_yielding": 1.8282635539665957, + "deflection": 0.005732759971741733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.506)" + }, + "parent_node_id": "node_1467", + "improvement_over_parent": null + }, + "node_1469": { + "node_id": "node_1469", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 209.16 kg\n Factor of Safety: 1.30\n Max Deflection: 4.86e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.16308948413274, + "fos_buckling": 1.2963536640885671, + "fos_yielding": 2.1565174906960856, + "deflection": 0.004862027011545495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1468", + "improvement_over_parent": null + }, + "node_1470": { + "node_id": "node_1470", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.36 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.36097328092075, + "fos_buckling": 1.5400225790859798, + "fos_yielding": 2.6476150872031003, + "deflection": 0.003962473963642483, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 213)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 193.82 kg\n Factor of Safety: 0.77\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.81507382676327, + "fos_buckling": 0.7693152579192789, + "fos_yielding": 1.8756232973239906, + "deflection": 0.0055418771287857535, + "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 5 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 195.21 kg\n Factor of Safety: 0.77\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.21343494915405, + "fos_buckling": 0.7692222287842932, + "fos_yielding": 1.9507111086373512, + "deflection": 0.005407557140810864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.235)" + }, + "parent_node_id": "node_1472", + "improvement_over_parent": null + }, + "node_1474": { + "node_id": "node_1474", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 209.92 kg\n Factor of Safety: 1.30\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.92068156988444, + "fos_buckling": 1.300284994272517, + "fos_yielding": 2.1642557931467348, + "deflection": 0.0048445046138060905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003554)" + }, + "parent_node_id": "node_1473", + "improvement_over_parent": null + }, + "node_1475": { + "node_id": "node_1475", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.34 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.33635260476035, + "fos_buckling": 1.5398384514453936, + "fos_yielding": 2.647367508320176, + "deflection": 0.003962697507391031, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_1474", + "improvement_over_parent": null + }, + "node_1476": { + "node_id": "node_1476", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1475", + "improvement_over_parent": null + }, + "node_1477": { + "node_id": "node_1477", + "content": "INITIAL DESIGN (Trace 214)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 174.35 kg\n Factor of Safety: 0.46\n Max Deflection: 3.35e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.34773926972193, + "fos_buckling": 0.4591037443577819, + "fos_yielding": 1.755166266754598, + "deflection": 3345193702998.157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1478": { + "node_id": "node_1478", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n\nPerformance:\n Mass: 188.26 kg\n Factor of Safety: 0.36\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": 188.25604975619763, + "fos_buckling": 0.3648607242178507, + "fos_yielding": 0.6940907856390945, + "deflection": 0.01730023923795935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003347)" + }, + "parent_node_id": "node_1477", + "improvement_over_parent": null + }, + "node_1479": { + "node_id": "node_1479", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 244.17 kg\n Factor of Safety: 0.45\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": 244.17040822400256, + "fos_buckling": 0.4531438142448902, + "fos_yielding": 0.8969334854715154, + "deflection": 0.01338728229207009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_1478", + "improvement_over_parent": null + }, + "node_1480": { + "node_id": "node_1480", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 252.81 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.80727175165612, + "fos_buckling": 0.92565502066224, + "fos_yielding": 2.6297956046621156, + "deflection": 0.00458055202964503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_1479", + "improvement_over_parent": null + }, + "node_1481": { + "node_id": "node_1481", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52409100101767, + "fos_buckling": 1.540808171726578, + "fos_yielding": 2.6493304039072116, + "deflection": 0.003959968149397781, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_1480", + "improvement_over_parent": null + }, + "node_1482": { + "node_id": "node_1482", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1481", + "improvement_over_parent": null + }, + "node_1483": { + "node_id": "node_1483", + "content": "INITIAL DESIGN (Trace 215)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 151.56 kg\n Factor of Safety: 0.04\n Max Deflection: 3.69e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.56350059382638, + "fos_buckling": 0.03889629246113933, + "fos_yielding": 0.05484894583608119, + "deflection": 368599221407186.25, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1484": { + "node_id": "node_1484", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 152.38 kg\n Factor of Safety: 0.08\n Max Deflection: 1.43e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.37708991866518, + "fos_buckling": 0.07872112191707695, + "fos_yielding": 0.25073803810779977, + "deflection": 14311675289641.229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.198)" + }, + "parent_node_id": "node_1483", + "improvement_over_parent": null + }, + "node_1485": { + "node_id": "node_1485", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n\nPerformance:\n Mass: 177.82 kg\n Factor of Safety: 0.38\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": 177.81979891116228, + "fos_buckling": 0.3752620727835252, + "fos_yielding": 0.524048964627832, + "deflection": 0.01894828108817299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004612)" + }, + "parent_node_id": "node_1484", + "improvement_over_parent": null + }, + "node_1486": { + "node_id": "node_1486", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n Mass: 181.58 kg\n Factor of Safety: 0.38\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": 181.57676431454442, + "fos_buckling": 0.37522162236016293, + "fos_yielding": 0.9437931816055901, + "deflection": 0.014915116503620532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002321)" + }, + "parent_node_id": "node_1485", + "improvement_over_parent": null + }, + "node_1487": { + "node_id": "node_1487", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 188.45 kg\n Factor of Safety: 0.96\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.45404070055451, + "fos_buckling": 0.9626330212740939, + "fos_yielding": 1.9376437276746226, + "deflection": 0.005623264204624255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003140)" + }, + "parent_node_id": "node_1486", + "improvement_over_parent": null + }, + "node_1488": { + "node_id": "node_1488", + "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0042)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n Mass: 192.36 kg\n Factor of Safety: 0.96\n Max Deflection: 5.59e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.3589313928732, + "fos_buckling": 0.9623355660817037, + "fos_yielding": 1.9370449925646998, + "deflection": 0.005585219818558033, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.395)" + }, + "parent_node_id": "node_1487", + "improvement_over_parent": null + }, + "node_1489": { + "node_id": "node_1489", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0042)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n\nPerformance:\n Mass: 207.56 kg\n Factor of Safety: 1.08\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.56072153866387, + "fos_buckling": 1.0795997074350936, + "fos_yielding": 2.097283221213125, + "deflection": 0.004908829622187519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003565)" + }, + "parent_node_id": "node_1488", + "improvement_over_parent": null + }, + "node_1490": { + "node_id": "node_1490", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0054)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 260.37 kg\n Factor of Safety: 1.33\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.3684837899427, + "fos_buckling": 1.3261905595954642, + "fos_yielding": 2.6263290465277076, + "deflection": 0.003924377221841826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1489", + "improvement_over_parent": null + }, + "node_1491": { + "node_id": "node_1491", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1490", + "improvement_over_parent": null + }, + "node_1492": { + "node_id": "node_1492", + "content": "INITIAL DESIGN (Trace 216)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 253.05 kg\n Factor of Safety: 1.25\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.05227457214133, + "fos_buckling": 1.2512837562560057, + "fos_yielding": 2.4265674771714276, + "deflection": 0.004084931711970783, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1493": { + "node_id": "node_1493", + "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.37 kg\n Factor of Safety: 1.26\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.36996947077793, + "fos_buckling": 1.2636174385016572, + "fos_yielding": 2.425549778438219, + "deflection": 0.004060671112350693, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.425)" + }, + "parent_node_id": "node_1492", + "improvement_over_parent": null + }, + "node_1494": { + "node_id": "node_1494", + "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.90 kg\n Factor of Safety: 1.45\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.89805508834107, + "fos_buckling": 1.4533284350698548, + "fos_yielding": 2.6403777344183004, + "deflection": 0.00398681743874501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.209)" + }, + "parent_node_id": "node_1493", + "improvement_over_parent": null + }, + "node_1495": { + "node_id": "node_1495", + "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52408339190396, + "fos_buckling": 1.540842493011781, + "fos_yielding": 2.6493033310617764, + "deflection": 0.0039601655084353935, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.214)" + }, + "parent_node_id": "node_1494", + "improvement_over_parent": null + }, + "node_1496": { + "node_id": "node_1496", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1495", + "improvement_over_parent": null + }, + "node_1497": { + "node_id": "node_1497", + "content": "INITIAL DESIGN (Trace 217)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 224.43 kg\n Factor of Safety: 0.91\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.4297564124726, + "fos_buckling": 0.9059964430453902, + "fos_yielding": 2.348894141045968, + "deflection": 0.004946941352846468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1498": { + "node_id": "node_1498", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 230.99 kg\n Factor of Safety: 0.91\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.98854460062222, + "fos_buckling": 0.9055270609810051, + "fos_yielding": 2.347677217084059, + "deflection": 0.004878211480090734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_1497", + "improvement_over_parent": null + }, + "node_1499": { + "node_id": "node_1499", + "content": "MODIFICATION: Increase 18 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 242.24 kg\n Factor of Safety: 0.91\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.24242669922424, + "fos_buckling": 0.9053660954170126, + "fos_yielding": 2.3472598963836586, + "deflection": 0.004782156523233706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.621)" + }, + "parent_node_id": "node_1498", + "improvement_over_parent": null + }, + "node_1500": { + "node_id": "node_1500", + "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 244.80 kg\n Factor of Safety: 0.91\n Max Deflection: 4.74e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.7990053028939, + "fos_buckling": 0.9051467853362059, + "fos_yielding": 2.346691311189055, + "deflection": 0.00474143317776903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.531)" + }, + "parent_node_id": "node_1499", + "improvement_over_parent": null + }, + "node_1501": { + "node_id": "node_1501", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 249.80 kg\n Factor of Safety: 1.09\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.80223191156023, + "fos_buckling": 1.0894881620167303, + "fos_yielding": 2.641598790474851, + "deflection": 0.004122065584650796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_1500", + "improvement_over_parent": null + }, + "node_1502": { + "node_id": "node_1502", + "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0063)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 256.10 kg\n Factor of Safety: 1.03\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.09764485524994, + "fos_buckling": 1.0289874639493404, + "fos_yielding": 2.635552335395382, + "deflection": 0.004087486774591024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.377)" + }, + "parent_node_id": "node_1501", + "improvement_over_parent": null + }, + "node_1503": { + "node_id": "node_1503", + "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0054)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0063)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 260.46 kg\n Factor of Safety: 0.99\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.46465609881506, + "fos_buckling": 0.9895147993336058, + "fos_yielding": 2.6506621431143245, + "deflection": 0.004112035430545155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.656)" + }, + "parent_node_id": "node_1502", + "improvement_over_parent": null + }, + "node_1504": { + "node_id": "node_1504", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1503", + "improvement_over_parent": null + }, + "node_1505": { + "node_id": "node_1505", + "content": "INITIAL DESIGN (Trace 218)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 139.14 kg\n Factor of Safety: 0.04\n Max Deflection: 3.17e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.13662820325874, + "fos_buckling": 0.04045274204494878, + "fos_yielding": 0.5065998341761206, + "deflection": 0.03173520413309513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1506": { + "node_id": "node_1506", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 164.01 kg\n Factor of Safety: 0.05\n Max Deflection: 2.69e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.00568658965466, + "fos_buckling": 0.046647678101334016, + "fos_yielding": 0.5968378777968755, + "deflection": 0.026948651665601796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1505", + "improvement_over_parent": null + }, + "node_1507": { + "node_id": "node_1507", + "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 165.21 kg\n Factor of Safety: 0.05\n Max Deflection: 2.70e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.20956083589272, + "fos_buckling": 0.04664767810133404, + "fos_yielding": 0.5968378777968758, + "deflection": 0.026966379517977476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.208)" + }, + "parent_node_id": "node_1506", + "improvement_over_parent": null + }, + "node_1508": { + "node_id": "node_1508", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 171.64 kg\n Factor of Safety: 0.22\n Max Deflection: 9.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.63612104901677, + "fos_buckling": 0.21575302299270954, + "fos_yielding": 1.1952487536443142, + "deflection": 0.009840871802958966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002615)" + }, + "parent_node_id": "node_1507", + "improvement_over_parent": null + }, + "node_1509": { + "node_id": "node_1509", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 209.54 kg\n Factor of Safety: 0.26\n Max Deflection: 8.08e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.53936315238124, + "fos_buckling": 0.25524677187012, + "fos_yielding": 1.456265255092513, + "deflection": 0.008075976402524544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_1508", + "improvement_over_parent": null + }, + "node_1510": { + "node_id": "node_1510", + "content": "MODIFICATION: Increase 17 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0076)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 219.88 kg\n Factor of Safety: 0.25\n Max Deflection: 8.02e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.8763832571495, + "fos_buckling": 0.25186940964265003, + "fos_yielding": 1.4560271754590592, + "deflection": 0.008024858462193196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.567)" + }, + "parent_node_id": "node_1509", + "improvement_over_parent": null + }, + "node_1511": { + "node_id": "node_1511", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0076)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 229.85 kg\n Factor of Safety: 0.27\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.84813665584517, + "fos_buckling": 0.2683591521228586, + "fos_yielding": 1.45510923710712, + "deflection": 0.00810886971578252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_1510", + "improvement_over_parent": null + }, + "node_1512": { + "node_id": "node_1512", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0076)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 261.80 kg\n Factor of Safety: 1.51\n Max Deflection: 3.93e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 261.79807902958265, + "fos_buckling": 1.5127504068655189, + "fos_yielding": 2.6459079840701127, + "deflection": 0.003934466202589976, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_1511", + "improvement_over_parent": null + }, + "node_1513": { + "node_id": "node_1513", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1512", + "improvement_over_parent": null + }, + "node_1514": { + "node_id": "node_1514", + "content": "INITIAL DESIGN (Trace 219)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 172.59 kg\n Factor of Safety: 0.79\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.58986807938575, + "fos_buckling": 0.7907137590525797, + "fos_yielding": 1.9254917619802878, + "deflection": 0.006594763347435933, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1515": { + "node_id": "node_1515", + "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 175.95 kg\n Factor of Safety: 0.79\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.94936173688504, + "fos_buckling": 0.7905033105968954, + "fos_yielding": 1.9253891075175584, + "deflection": 0.006598243976378906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.458)" + }, + "parent_node_id": "node_1514", + "improvement_over_parent": null + }, + "node_1516": { + "node_id": "node_1516", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 191.55 kg\n Factor of Safety: 0.54\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.55101008830295, + "fos_buckling": 0.5411072150938796, + "fos_yielding": 1.626550323734778, + "deflection": 0.005016633505216457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003666)" + }, + "parent_node_id": "node_1515", + "improvement_over_parent": null + }, + "node_1517": { + "node_id": "node_1517", + "content": "MODIFICATION: Increase 12 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 197.35 kg\n Factor of Safety: 0.69\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.34589629109945, + "fos_buckling": 0.6871394736314196, + "fos_yielding": 1.6490567741799378, + "deflection": 0.004920359661238486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.307)" + }, + "parent_node_id": "node_1516", + "improvement_over_parent": null + }, + "node_1518": { + "node_id": "node_1518", + "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 199.20 kg\n Factor of Safety: 0.60\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.1974422300601, + "fos_buckling": 0.6048334583823919, + "fos_yielding": 2.0968283191606574, + "deflection": 0.004733776028774506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.302)" + }, + "parent_node_id": "node_1517", + "improvement_over_parent": null + }, + "node_1519": { + "node_id": "node_1519", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 205.61 kg\n Factor of Safety: 1.25\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.60575238946817, + "fos_buckling": 1.2488831849794322, + "fos_yielding": 2.168656091473515, + "deflection": 0.004910227074015731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002607)" + }, + "parent_node_id": "node_1518", + "improvement_over_parent": null + }, + "node_1520": { + "node_id": "node_1520", + "content": "MODIFICATION: Increase 19 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0056)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 213.07 kg\n Factor of Safety: 1.25\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.0736892023826, + "fos_buckling": 1.2480280335557186, + "fos_yielding": 2.1612976766546548, + "deflection": 0.00485398688730362, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.538)" + }, + "parent_node_id": "node_1519", + "improvement_over_parent": null + }, + "node_1521": { + "node_id": "node_1521", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0070)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 260.39 kg\n Factor of Safety: 1.47\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.3913497147734, + "fos_buckling": 1.4739048603463731, + "fos_yielding": 2.6380801279088355, + "deflection": 0.003979354693116562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1520", + "improvement_over_parent": null + }, + "node_1522": { + "node_id": "node_1522", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1521", + "improvement_over_parent": null + }, + "node_1523": { + "node_id": "node_1523", + "content": "INITIAL DESIGN (Trace 220)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 193.10 kg\n Factor of Safety: 0.88\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.09968843477006, + "fos_buckling": 0.880050880133128, + "fos_yielding": 2.159916759249575, + "deflection": 0.004847114643079186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1524": { + "node_id": "node_1524", + "content": "MODIFICATION: Increase 11 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 194.29 kg\n Factor of Safety: 0.88\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.29048529131296, + "fos_buckling": 0.8801848839694849, + "fos_yielding": 2.1597692356463427, + "deflection": 0.004837127345210135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.314)" + }, + "parent_node_id": "node_1523", + "improvement_over_parent": null + }, + "node_1525": { + "node_id": "node_1525", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 245.17 kg\n Factor of Safety: 1.10\n Max Deflection: 3.85e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.16867853857758, + "fos_buckling": 1.101279664330763, + "fos_yielding": 2.71720841731085, + "deflection": 0.0038482002904785453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_1524", + "improvement_over_parent": null + }, + "node_1526": { + "node_id": "node_1526", + "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.35 kg\n Factor of Safety: 1.10\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.3537718541187, + "fos_buckling": 1.1012796643307636, + "fos_yielding": 2.71720841731085, + "deflection": 0.0038228158578409066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.279)" + }, + "parent_node_id": "node_1525", + "improvement_over_parent": null + }, + "node_1527": { + "node_id": "node_1527", + "content": "MODIFICATION: Increase 9 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.49 kg\n Factor of Safety: 1.25\n Max Deflection: 3.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.48506419858978, + "fos_buckling": 1.245987469719188, + "fos_yielding": 2.7170325827349835, + "deflection": 0.003850931614884615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.276)" + }, + "parent_node_id": "node_1526", + "improvement_over_parent": null + }, + "node_1528": { + "node_id": "node_1528", + "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.83 kg\n Factor of Safety: 1.43\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.82711763824238, + "fos_buckling": 1.4349983467062757, + "fos_yielding": 2.71666863422344, + "deflection": 0.0038901756461258387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.468)" + }, + "parent_node_id": "node_1527", + "improvement_over_parent": null + }, + "node_1529": { + "node_id": "node_1529", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.39 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.385905826392, + "fos_buckling": 1.5401421093246046, + "fos_yielding": 2.6479370350057803, + "deflection": 0.0039620156762908, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_1528", + "improvement_over_parent": null + }, + "node_1530": { + "node_id": "node_1530", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1529", + "improvement_over_parent": null + }, + "node_1531": { + "node_id": "node_1531", + "content": "INITIAL DESIGN (Trace 221)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 187.76 kg\n Factor of Safety: 1.17\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.7591325431486, + "fos_buckling": 1.1683518772251082, + "fos_yielding": 2.056789836107223, + "deflection": 0.005319046327280084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1532": { + "node_id": "node_1532", + "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 190.27 kg\n Factor of Safety: 1.16\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.26577520594682, + "fos_buckling": 1.1634197050834931, + "fos_yielding": 2.052905235385423, + "deflection": 0.0052821022954431095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.429)" + }, + "parent_node_id": "node_1531", + "improvement_over_parent": null + }, + "node_1533": { + "node_id": "node_1533", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 210.40 kg\n Factor of Safety: 1.27\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.39514060041927, + "fos_buckling": 1.271632044987202, + "fos_yielding": 2.2673522656443175, + "deflection": 0.00478246871676944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1532", + "improvement_over_parent": null + }, + "node_1534": { + "node_id": "node_1534", + "content": "MODIFICATION: Increase 14 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 212.87 kg\n Factor of Safety: 1.25\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.8697274386447, + "fos_buckling": 1.2494441510909795, + "fos_yielding": 2.262761473532861, + "deflection": 0.004748206948681582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.238)" + }, + "parent_node_id": "node_1533", + "improvement_over_parent": null + }, + "node_1535": { + "node_id": "node_1535", + "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 215.48 kg\n Factor of Safety: 1.23\n Max Deflection: 4.72e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.4783583519453, + "fos_buckling": 1.2321912619923074, + "fos_yielding": 2.259031606913839, + "deflection": 0.0047206645474767335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.208)" + }, + "parent_node_id": "node_1534", + "improvement_over_parent": null + }, + "node_1536": { + "node_id": "node_1536", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.75 kg\n Factor of Safety: 1.43\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.75333415144956, + "fos_buckling": 1.4255211482196297, + "fos_yielding": 2.66538044836514, + "deflection": 0.004001787542735983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_1535", + "improvement_over_parent": null + }, + "node_1537": { + "node_id": "node_1537", + "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.46 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.457672407329, + "fos_buckling": 1.5405048515149888, + "fos_yielding": 2.6486091108280294, + "deflection": 0.003961044524047715, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.269)" + }, + "parent_node_id": "node_1536", + "improvement_over_parent": null + }, + "node_1538": { + "node_id": "node_1538", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1537", + "improvement_over_parent": null + }, + "node_1539": { + "node_id": "node_1539", + "content": "INITIAL DESIGN (Trace 222)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n Mass: 132.90 kg\n Factor of Safety: 0.80\n Max Deflection: 9.46e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.89868769325793, + "fos_buckling": 0.797148769495025, + "fos_yielding": 1.6783608118654831, + "deflection": 9456676458029.133, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1540": { + "node_id": "node_1540", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n Mass: 145.83 kg\n Factor of Safety: 0.19\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.8282606011987, + "fos_buckling": 0.1875749593571433, + "fos_yielding": 0.9888818288486976, + "deflection": 0.01204870416405018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002999)" + }, + "parent_node_id": "node_1539", + "improvement_over_parent": null + }, + "node_1541": { + "node_id": "node_1541", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 175.73 kg\n Factor of Safety: 0.22\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.7259995454166, + "fos_buckling": 0.22054449058425554, + "fos_yielding": 1.1895070823450928, + "deflection": 0.010015066183576837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1540", + "improvement_over_parent": null + }, + "node_1542": { + "node_id": "node_1542", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n\nPerformance:\n Mass: 201.77 kg\n Factor of Safety: 1.04\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.77320751900737, + "fos_buckling": 1.0427405542947252, + "fos_yielding": 2.1863109574186605, + "deflection": 0.005024298968765499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004730)" + }, + "parent_node_id": "node_1541", + "improvement_over_parent": null + }, + "node_1543": { + "node_id": "node_1543", + "content": "MODIFICATION: Increase 20 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0071)]\n\nPerformance:\n Mass: 213.65 kg\n Factor of Safety: 1.04\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.6452680520673, + "fos_buckling": 1.0433248184506265, + "fos_yielding": 2.1967297584794916, + "deflection": 0.004870553911793454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.511)" + }, + "parent_node_id": "node_1542", + "improvement_over_parent": null + }, + "node_1544": { + "node_id": "node_1544", + "content": "MODIFICATION: Increase 15 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0048)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0071)]\n\nPerformance:\n Mass: 218.30 kg\n Factor of Safety: 1.03\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.2998080554093, + "fos_buckling": 1.030556102193694, + "fos_yielding": 2.1926235313331413, + "deflection": 0.004839371359755492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.350)" + }, + "parent_node_id": "node_1543", + "improvement_over_parent": null + }, + "node_1545": { + "node_id": "node_1545", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0060)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0089)]\n\nPerformance:\n Mass: 267.10 kg\n Factor of Safety: 1.24\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.1045465289985, + "fos_buckling": 1.2369899517576268, + "fos_yielding": 2.6811831059719107, + "deflection": 0.0039598676803728515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 223)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 223.22 kg\n Factor of Safety: 0.17\n Max Deflection: 9.60e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.22177404200042, + "fos_buckling": 0.16726201649446928, + "fos_yielding": 1.131052595498261, + "deflection": 9598199524519.848, + "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 8 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 227.94 kg\n Factor of Safety: 0.25\n Max Deflection: 6.86e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.938593291362, + "fos_buckling": 0.25123914568720995, + "fos_yielding": 1.2596203959136516, + "deflection": 6861281691932.919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_1547", + "improvement_over_parent": null + }, + "node_1549": { + "node_id": "node_1549", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 248.89 kg\n Factor of Safety: 0.45\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": 248.89477729817762, + "fos_buckling": 0.4531337455483198, + "fos_yielding": 1.4750373997352497, + "deflection": 0.011116622401704919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_1548", + "improvement_over_parent": null + }, + "node_1550": { + "node_id": "node_1550", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5316408258312, + "fos_buckling": 1.5408263416567842, + "fos_yielding": 2.6493682972572437, + "deflection": 0.003959881908449345, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_1549", + "improvement_over_parent": null + }, + "node_1551": { + "node_id": "node_1551", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1550", + "improvement_over_parent": null + }, + "node_1552": { + "node_id": "node_1552", + "content": "INITIAL DESIGN (Trace 224)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0017)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 141.83 kg\n Factor of Safety: 0.62\n Max Deflection: 7.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.82765656202753, + "fos_buckling": 0.6187646975226081, + "fos_yielding": 1.2451210221893476, + "deflection": 0.0078293993507808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1553": { + "node_id": "node_1553", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 183.91 kg\n Factor of Safety: 0.77\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.91041093310028, + "fos_buckling": 0.7746249768993844, + "fos_yielding": 1.618898195857537, + "deflection": 0.0060489300772549135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1552", + "improvement_over_parent": null + }, + "node_1554": { + "node_id": "node_1554", + "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 186.07 kg\n Factor of Safety: 0.77\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.0714892387062, + "fos_buckling": 0.7743859163906474, + "fos_yielding": 2.112166501818967, + "deflection": 0.005789619312482365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.486)" + }, + "parent_node_id": "node_1553", + "improvement_over_parent": null + }, + "node_1555": { + "node_id": "node_1555", + "content": "MODIFICATION: Increase 18 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 192.42 kg\n Factor of Safety: 0.77\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.41999729147471, + "fos_buckling": 0.7736844911244144, + "fos_yielding": 2.1179755629859414, + "deflection": 0.0056821932261515076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.650)" + }, + "parent_node_id": "node_1554", + "improvement_over_parent": null + }, + "node_1556": { + "node_id": "node_1556", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n Mass: 206.86 kg\n Factor of Safety: 1.28\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.86333904655595, + "fos_buckling": 1.284260473853919, + "fos_yielding": 2.133169626005826, + "deflection": 0.004915417565991765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003491)" + }, + "parent_node_id": "node_1555", + "improvement_over_parent": null + }, + "node_1557": { + "node_id": "node_1557", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.55 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.54612448693905, + "fos_buckling": 1.5409675836053907, + "fos_yielding": 2.649665866723219, + "deflection": 0.00395966057446788, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1556", + "improvement_over_parent": null + }, + "node_1558": { + "node_id": "node_1558", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1557", + "improvement_over_parent": null + }, + "node_1559": { + "node_id": "node_1559", + "content": "INITIAL DESIGN (Trace 225)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 160.07 kg\n Factor of Safety: 0.13\n Max Deflection: 1.83e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.06829533150866, + "fos_buckling": 0.129104768421855, + "fos_yielding": 0.5850554222515326, + "deflection": 18312247380536.402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1560": { + "node_id": "node_1560", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 164.29 kg\n Factor of Safety: 0.04\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": 164.28724838899504, + "fos_buckling": 0.04267753553613913, + "fos_yielding": 0.5482958495667984, + "deflection": 0.02277325674527412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002542)" + }, + "parent_node_id": "node_1559", + "improvement_over_parent": null + }, + "node_1561": { + "node_id": "node_1561", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n Mass: 172.35 kg\n Factor of Safety: 0.22\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.3524965161969, + "fos_buckling": 0.22261392857490994, + "fos_yielding": 1.2294301356015855, + "deflection": 0.010169222734471425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003515)" + }, + "parent_node_id": "node_1560", + "improvement_over_parent": null + }, + "node_1562": { + "node_id": "node_1562", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 0.26\n Max Deflection: 8.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.56472496046553, + "fos_buckling": 0.25673502117272007, + "fos_yielding": 1.4568474182521265, + "deflection": 0.008580613695078012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_1561", + "improvement_over_parent": null + }, + "node_1563": { + "node_id": "node_1563", + "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0038)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 205.58 kg\n Factor of Safety: 0.26\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.58301019680476, + "fos_buckling": 0.25671835704243245, + "fos_yielding": 1.522098563559205, + "deflection": 0.008427504124938855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.229)" + }, + "parent_node_id": "node_1562", + "improvement_over_parent": null + }, + "node_1564": { + "node_id": "node_1564", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0038)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 237.53 kg\n Factor of Safety: 0.91\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.53295257054228, + "fos_buckling": 0.9125377028627629, + "fos_yielding": 2.38942594263441, + "deflection": 0.004452641189871163, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_1563", + "improvement_over_parent": null + }, + "node_1565": { + "node_id": "node_1565", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0038)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 255.58 kg\n Factor of Safety: 1.53\n Max Deflection: 3.98e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.57548877328995, + "fos_buckling": 1.5331233701821732, + "fos_yielding": 2.648251108706854, + "deflection": 0.003976300844114647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_1564", + "improvement_over_parent": null + }, + "node_1566": { + "node_id": "node_1566", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1565", + "improvement_over_parent": null + }, + "node_1567": { + "node_id": "node_1567", + "content": "INITIAL DESIGN (Trace 226)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 223.95 kg\n Factor of Safety: 0.67\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.9539733362462, + "fos_buckling": 0.6663395099065278, + "fos_yielding": 2.3226035003881065, + "deflection": 0.004239422834632598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1568": { + "node_id": "node_1568", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n Mass: 231.06 kg\n Factor of Safety: 1.24\n Max Deflection: 4.40e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.05642108294336, + "fos_buckling": 1.2446458155599418, + "fos_yielding": 2.4020688463176247, + "deflection": 0.004398565497931483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002914)" + }, + "parent_node_id": "node_1567", + "improvement_over_parent": null + }, + "node_1569": { + "node_id": "node_1569", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 255.04 kg\n Factor of Safety: 1.36\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.04457248431683, + "fos_buckling": 1.3556477193320442, + "fos_yielding": 2.648322407657196, + "deflection": 0.003990453801882537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1568", + "improvement_over_parent": null + }, + "node_1570": { + "node_id": "node_1570", + "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0078)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 264.26 kg\n Factor of Safety: 1.35\n Max Deflection: 3.90e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.2585208712998, + "fos_buckling": 1.354022666767875, + "fos_yielding": 2.6577093267992202, + "deflection": 0.0039041865782450946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.328)" + }, + "parent_node_id": "node_1569", + "improvement_over_parent": null + }, + "node_1571": { + "node_id": "node_1571", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1570", + "improvement_over_parent": null + }, + "node_1572": { + "node_id": "node_1572", + "content": "INITIAL DESIGN (Trace 227)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n Mass: 114.43 kg\n Factor of Safety: 0.02\n Max Deflection: 3.44e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 114.4258823347886, + "fos_buckling": 0.02496885655243067, + "fos_yielding": 0.30065650507287917, + "deflection": 0.03443309168495225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1573": { + "node_id": "node_1573", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0019)]\n\nPerformance:\n Mass: 118.84 kg\n Factor of Safety: 0.78\n Max Deflection: 8.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.83853927789545, + "fos_buckling": 0.7844437580354262, + "fos_yielding": 1.2303476822412518, + "deflection": 0.008512917035484598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.001858)" + }, + "parent_node_id": "node_1572", + "improvement_over_parent": null + }, + "node_1574": { + "node_id": "node_1574", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n\nPerformance:\n Mass: 146.58 kg\n Factor of Safety: 0.95\n Max Deflection: 6.91e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.5773141126735, + "fos_buckling": 0.9493532029744718, + "fos_yielding": 1.5156001457040995, + "deflection": 0.006913014091880393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1573", + "improvement_over_parent": null + }, + "node_1575": { + "node_id": "node_1575", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n\nPerformance:\n Mass: 183.62 kg\n Factor of Safety: 1.16\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.61854650635644, + "fos_buckling": 1.1589096476902447, + "fos_yielding": 1.8953852812803669, + "deflection": 0.005530299455161459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1574", + "improvement_over_parent": null + }, + "node_1576": { + "node_id": "node_1576", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n\nPerformance:\n Mass: 230.33 kg\n Factor of Safety: 1.41\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.3297806410915, + "fos_buckling": 1.4058758230542652, + "fos_yielding": 2.372485297977163, + "deflection": 0.004420651649599944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_1575", + "improvement_over_parent": null + }, + "node_1577": { + "node_id": "node_1577", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.3709126024904, + "fos_buckling": 1.5400659980247358, + "fos_yielding": 2.6477492831213296, + "deflection": 0.003962355941079705, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1576", + "improvement_over_parent": null + }, + "node_1578": { + "node_id": "node_1578", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1577", + "improvement_over_parent": null + }, + "node_1579": { + "node_id": "node_1579", + "content": "INITIAL DESIGN (Trace 228)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.25 kg\n Factor of Safety: 1.29\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.24690056071256, + "fos_buckling": 1.2904664878902092, + "fos_yielding": 2.461271336833427, + "deflection": 0.004144414450404245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1580": { + "node_id": "node_1580", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.51 kg\n Factor of Safety: 1.29\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.50839594380403, + "fos_buckling": 1.289948694107739, + "fos_yielding": 2.4602837629544116, + "deflection": 0.004125505073045341, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.370)" + }, + "parent_node_id": "node_1579", + "improvement_over_parent": null + }, + "node_1581": { + "node_id": "node_1581", + "content": "MODIFICATION: Increase 19 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.47 kg\n Factor of Safety: 1.30\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.46765590331088, + "fos_buckling": 1.2984769773379123, + "fos_yielding": 2.4765495236415727, + "deflection": 0.0040735134782994105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.418)" + }, + "parent_node_id": "node_1580", + "improvement_over_parent": null + }, + "node_1582": { + "node_id": "node_1582", + "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.50956723261976, + "fos_buckling": 1.5408175014886325, + "fos_yielding": 2.6493732168914113, + "deflection": 0.003960204741767372, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.340)" + }, + "parent_node_id": "node_1581", + "improvement_over_parent": null + }, + "node_1583": { + "node_id": "node_1583", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1582", + "improvement_over_parent": null + }, + "node_1584": { + "node_id": "node_1584", + "content": "INITIAL DESIGN (Trace 229)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0015)]\n\nPerformance:\n Mass: 132.99 kg\n Factor of Safety: 0.63\n Max Deflection: 7.96e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.99451184108054, + "fos_buckling": 0.6283115311941542, + "fos_yielding": 1.1218421209602456, + "deflection": 0.0079626669559648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1585": { + "node_id": "node_1585", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0019)]\n\nPerformance:\n Mass: 160.44 kg\n Factor of Safety: 0.75\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.43831209061742, + "fos_buckling": 0.7500339466407, + "fos_yielding": 1.355210656189545, + "deflection": 0.006607502876866731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_1584", + "improvement_over_parent": null + }, + "node_1586": { + "node_id": "node_1586", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n Mass: 192.52 kg\n Factor of Safety: 0.89\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.5237003680807, + "fos_buckling": 0.8889163118441714, + "fos_yielding": 1.6291045059534246, + "deflection": 0.005512877194864339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_1585", + "improvement_over_parent": null + }, + "node_1587": { + "node_id": "node_1587", + "content": "MODIFICATION: Increase 2 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n Mass: 194.93 kg\n Factor of Safety: 0.90\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.93065539492454, + "fos_buckling": 0.8974887037999716, + "fos_yielding": 2.1044020095126195, + "deflection": 0.005213103506705874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.541)" + }, + "parent_node_id": "node_1586", + "improvement_over_parent": null + }, + "node_1588": { + "node_id": "node_1588", + "content": "MODIFICATION: Increase 20 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 201.37 kg\n Factor of Safety: 1.04\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.36985730789354, + "fos_buckling": 1.0428368950324736, + "fos_yielding": 2.1016972740596147, + "deflection": 0.005039188026790622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.664)" + }, + "parent_node_id": "node_1587", + "improvement_over_parent": null + }, + "node_1589": { + "node_id": "node_1589", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.43 kg\n Factor of Safety: 1.28\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.4301314253875, + "fos_buckling": 1.2837388127406808, + "fos_yielding": 2.6484868558909183, + "deflection": 0.004000638572391655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1588", + "improvement_over_parent": null + }, + "node_1590": { + "node_id": "node_1590", + "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.57 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5720080942759, + "fos_buckling": 1.5410475481805195, + "fos_yielding": 2.6498098525865035, + "deflection": 0.003959449465971241, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.451)" + }, + "parent_node_id": "node_1589", + "improvement_over_parent": null + }, + "node_1591": { + "node_id": "node_1591", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1590", + "improvement_over_parent": null + }, + "node_1592": { + "node_id": "node_1592", + "content": "INITIAL DESIGN (Trace 230)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 208.88 kg\n Factor of Safety: 1.21\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.88187663425538, + "fos_buckling": 1.2084056636577116, + "fos_yielding": 1.8804233644715407, + "deflection": 0.004912227252918425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1593": { + "node_id": "node_1593", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.59 kg\n Factor of Safety: 1.39\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.58800251685514, + "fos_buckling": 1.3937176142429835, + "fos_yielding": 2.2302612879039456, + "deflection": 0.004151860291911432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_1592", + "improvement_over_parent": null + }, + "node_1594": { + "node_id": "node_1594", + "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.33 kg\n Factor of Safety: 1.40\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.32533109959053, + "fos_buckling": 1.3984912042911872, + "fos_yielding": 2.6623363310105237, + "deflection": 0.004039244240139185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.222)" + }, + "parent_node_id": "node_1593", + "improvement_over_parent": null + }, + "node_1595": { + "node_id": "node_1595", + "content": "MODIFICATION: Increase 17 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 253.05 kg\n Factor of Safety: 1.49\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.04942041250897, + "fos_buckling": 1.4931843828964997, + "fos_yielding": 2.6546962125177913, + "deflection": 0.003994950141742706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.404)" + }, + "parent_node_id": "node_1594", + "improvement_over_parent": null + }, + "node_1596": { + "node_id": "node_1596", + "content": "MODIFICATION: Increase 17 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52631499817056, + "fos_buckling": 1.5407792038478467, + "fos_yielding": 2.648390102281638, + "deflection": 0.003960173369894439, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.362)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 231)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 181.46 kg\n Factor of Safety: 1.15\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.45859372038785, + "fos_buckling": 1.151746443435764, + "fos_yielding": 1.8908007071731283, + "deflection": 0.005548736435301608, + "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: Increase 16 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 182.56 kg\n Factor of Safety: 1.15\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.55904881823864, + "fos_buckling": 1.15308455723751, + "fos_yielding": 1.8845686651748073, + "deflection": 0.005561913280262858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.330)" + }, + "parent_node_id": "node_1598", + "improvement_over_parent": null + }, + "node_1600": { + "node_id": "node_1600", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 215.57 kg\n Factor of Safety: 1.33\n Max Deflection: 4.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.56505590414804, + "fos_buckling": 1.3298930630141508, + "fos_yielding": 2.221934403291671, + "deflection": 0.004719297026787472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1599", + "improvement_over_parent": null + }, + "node_1601": { + "node_id": "node_1601", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.57 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5676943482409, + "fos_buckling": 1.5410186276945657, + "fos_yielding": 2.649788554267444, + "deflection": 0.003959276441253048, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_1600", + "improvement_over_parent": null + }, + "node_1602": { + "node_id": "node_1602", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1601", + "improvement_over_parent": null + }, + "node_1603": { + "node_id": "node_1603", + "content": "INITIAL DESIGN (Trace 232)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 119.35 kg\n Factor of Safety: 0.14\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": 119.35249107871563, + "fos_buckling": 0.14344692713359863, + "fos_yielding": 0.7934319492999695, + "deflection": 0.015207372853861494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1604": { + "node_id": "node_1604", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 137.34 kg\n Factor of Safety: 0.16\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": 137.33591577025217, + "fos_buckling": 0.162507769800402, + "fos_yielding": 0.9127759777337546, + "deflection": 0.01322497598143244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_1603", + "improvement_over_parent": null + }, + "node_1605": { + "node_id": "node_1605", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n Mass: 141.88 kg\n Factor of Safety: 0.20\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": 141.87654692627942, + "fos_buckling": 0.19719499532271356, + "fos_yielding": 1.0105187906556703, + "deflection": 0.012246293461656323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001799)" + }, + "parent_node_id": "node_1604", + "improvement_over_parent": null + }, + "node_1606": { + "node_id": "node_1606", + "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n Mass: 143.73 kg\n Factor of Safety: 0.20\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": 143.7253025984337, + "fos_buckling": 0.1979282905198933, + "fos_yielding": 1.0104299153270526, + "deflection": 0.012083064128647377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.475)" + }, + "parent_node_id": "node_1605", + "improvement_over_parent": null + }, + "node_1607": { + "node_id": "node_1607", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n\nPerformance:\n Mass: 165.84 kg\n Factor of Safety: 0.68\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.83850927838444, + "fos_buckling": 0.6811241708704568, + "fos_yielding": 1.8277295983755857, + "deflection": 0.00658204164239372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003970)" + }, + "parent_node_id": "node_1606", + "improvement_over_parent": null + }, + "node_1608": { + "node_id": "node_1608", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n\nPerformance:\n Mass: 183.80 kg\n Factor of Safety: 0.74\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.8016125102915, + "fos_buckling": 0.744178131802515, + "fos_yielding": 2.0239720268282646, + "deflection": 0.005945186348999503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_1607", + "improvement_over_parent": null + }, + "node_1609": { + "node_id": "node_1609", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 239.57 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.5662094483909, + "fos_buckling": 0.926819539176272, + "fos_yielding": 2.63105464249859, + "deflection": 0.00457658270703452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_1608", + "improvement_over_parent": null + }, + "node_1610": { + "node_id": "node_1610", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.56 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5555740150508, + "fos_buckling": 1.5406667281968334, + "fos_yielding": 2.6497290148400685, + "deflection": 0.003959352493694773, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_1609", + "improvement_over_parent": null + }, + "node_1611": { + "node_id": "node_1611", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1610", + "improvement_over_parent": null + }, + "node_1612": { + "node_id": "node_1612", + "content": "INITIAL DESIGN (Trace 233)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0015)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0011)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0016)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0011)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0015)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0022)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0008)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0017)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0017)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n\nPerformance:\n Mass: 98.80 kg\n Factor of Safety: 0.55\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 98.79535701024128, + "fos_buckling": 0.5497450821835431, + "fos_yielding": 1.0545441542961924, + "deflection": 0.010079291854103604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1613": { + "node_id": "node_1613", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 125.98 kg\n Factor of Safety: 0.70\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.97896913883723, + "fos_buckling": 0.6950382994071346, + "fos_yielding": 1.3429046328067034, + "deflection": 0.007917373066702154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_1612", + "improvement_over_parent": null + }, + "node_1614": { + "node_id": "node_1614", + "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 126.67 kg\n Factor of Safety: 0.73\n Max Deflection: 7.94e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.66765988200949, + "fos_buckling": 0.7304544444748237, + "fos_yielding": 1.3383090558699275, + "deflection": 0.007935796327982572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.274)" + }, + "parent_node_id": "node_1613", + "improvement_over_parent": null + }, + "node_1615": { + "node_id": "node_1615", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 165.90 kg\n Factor of Safety: 0.93\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.90484284376612, + "fos_buckling": 0.93135932663421, + "fos_yielding": 1.7497145939258194, + "deflection": 0.0060726351125989795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1614", + "improvement_over_parent": null + }, + "node_1616": { + "node_id": "node_1616", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n Mass: 170.29 kg\n Factor of Safety: 1.08\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.29237089724697, + "fos_buckling": 1.0849456853163488, + "fos_yielding": 1.7589639046471282, + "deflection": 0.005958236840078046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001911)" + }, + "parent_node_id": "node_1615", + "improvement_over_parent": null + }, + "node_1617": { + "node_id": "node_1617", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n\nPerformance:\n Mass: 200.48 kg\n Factor of Safety: 1.25\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.47760974974807, + "fos_buckling": 1.250294731747394, + "fos_yielding": 2.0678900104528872, + "deflection": 0.005069966314457216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_1616", + "improvement_over_parent": null + }, + "node_1618": { + "node_id": "node_1618", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.82 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.81915999078404, + "fos_buckling": 1.5422696096162158, + "fos_yielding": 2.652399106953091, + "deflection": 0.003955415206504474, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_1617", + "improvement_over_parent": null + }, + "node_1619": { + "node_id": "node_1619", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1618", + "improvement_over_parent": null + }, + "node_1620": { + "node_id": "node_1620", + "content": "INITIAL DESIGN (Trace 234)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0011)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 178.33 kg\n Factor of Safety: 0.73\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.33261845521795, + "fos_buckling": 0.7331564944389957, + "fos_yielding": 1.8833332905261186, + "deflection": 0.00570359508333004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1621": { + "node_id": "node_1621", + "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 179.32 kg\n Factor of Safety: 1.02\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.31731286834886, + "fos_buckling": 1.019822310215098, + "fos_yielding": 1.8841341404365664, + "deflection": 0.005646902404406871, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.555)" + }, + "parent_node_id": "node_1620", + "improvement_over_parent": null + }, + "node_1622": { + "node_id": "node_1622", + "content": "MODIFICATION: Increase 20 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 181.97 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.9652383394308, + "fos_buckling": 1.079025477248912, + "fos_yielding": 1.8832158302751563, + "deflection": 0.005580363336754585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.227)" + }, + "parent_node_id": "node_1621", + "improvement_over_parent": null + }, + "node_1623": { + "node_id": "node_1623", + "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 182.45 kg\n Factor of Safety: 1.15\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.45308551677908, + "fos_buckling": 1.1524881188717566, + "fos_yielding": 1.8834433078552555, + "deflection": 0.005565208771037614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.182)" + }, + "parent_node_id": "node_1622", + "improvement_over_parent": null + }, + "node_1624": { + "node_id": "node_1624", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 202.85 kg\n Factor of Safety: 1.26\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.85375540928854, + "fos_buckling": 1.2629249832389908, + "fos_yielding": 2.092083731920285, + "deflection": 0.005011428888904993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_1623", + "improvement_over_parent": null + }, + "node_1625": { + "node_id": "node_1625", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.73 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7310437265753, + "fos_buckling": 1.5417935138787437, + "fos_yielding": 2.6513941435513964, + "deflection": 0.003956872334047254, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_1624", + "improvement_over_parent": null + }, + "node_1626": { + "node_id": "node_1626", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1625", + "improvement_over_parent": null + }, + "node_1627": { + "node_id": "node_1627", + "content": "INITIAL DESIGN (Trace 235)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 176.47 kg\n Factor of Safety: 0.18\n Max Deflection: 9.90e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.46902889980916, + "fos_buckling": 0.17738341864377802, + "fos_yielding": 1.0277472045478213, + "deflection": 0.009901819619872132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1628": { + "node_id": "node_1628", + "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 177.29 kg\n Factor of Safety: 0.18\n Max Deflection: 9.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.2878985859916, + "fos_buckling": 0.17737188214640467, + "fos_yielding": 1.0276803628834967, + "deflection": 0.009822376392012857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.181)" + }, + "parent_node_id": "node_1627", + "improvement_over_parent": null + }, + "node_1629": { + "node_id": "node_1629", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n Mass: 205.12 kg\n Factor of Safety: 0.79\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.1245853231043, + "fos_buckling": 0.7871681293252373, + "fos_yielding": 2.197069966741866, + "deflection": 0.0056169419661990325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005082)" + }, + "parent_node_id": "node_1628", + "improvement_over_parent": null + }, + "node_1630": { + "node_id": "node_1630", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n\nPerformance:\n Mass: 210.91 kg\n Factor of Safety: 0.87\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.9126656755735, + "fos_buckling": 0.8745426462080033, + "fos_yielding": 2.196341040676565, + "deflection": 0.005457999072936927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002571)" + }, + "parent_node_id": "node_1629", + "improvement_over_parent": null + }, + "node_1631": { + "node_id": "node_1631", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 222.89 kg\n Factor of Safety: 1.36\n Max Deflection: 4.56e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.8926835978652, + "fos_buckling": 1.3614026421662249, + "fos_yielding": 2.3144063152536885, + "deflection": 0.004555290638847542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003334)" + }, + "parent_node_id": "node_1630", + "improvement_over_parent": null + }, + "node_1632": { + "node_id": "node_1632", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 224.38 kg\n Factor of Safety: 1.38\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.38157646171632, + "fos_buckling": 1.375446210543833, + "fos_yielding": 2.3117985481357017, + "deflection": 0.004536294252193244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.190)" + }, + "parent_node_id": "node_1631", + "improvement_over_parent": null + }, + "node_1633": { + "node_id": "node_1633", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.67 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6705461192311, + "fos_buckling": 1.541460340853987, + "fos_yielding": 2.6507437782578687, + "deflection": 0.00395782531951899, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_1632", + "improvement_over_parent": null + }, + "node_1634": { + "node_id": "node_1634", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1633", + "improvement_over_parent": null + }, + "node_1635": { + "node_id": "node_1635", + "content": "INITIAL DESIGN (Trace 236)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 196.13 kg\n Factor of Safety: 0.80\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.13234411259063, + "fos_buckling": 0.8024007444427332, + "fos_yielding": 1.835159481073391, + "deflection": 0.005751046892366958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1636": { + "node_id": "node_1636", + "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 198.56 kg\n Factor of Safety: 0.80\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.56252442568442, + "fos_buckling": 0.8023451198837578, + "fos_yielding": 1.9622740773800884, + "deflection": 0.00565137583357697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.572)" + }, + "parent_node_id": "node_1635", + "improvement_over_parent": null + }, + "node_1637": { + "node_id": "node_1637", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 236.92 kg\n Factor of Safety: 0.93\n Max Deflection: 4.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.92293284099657, + "fos_buckling": 0.9273041530408489, + "fos_yielding": 2.3472512467560542, + "deflection": 0.004744882347439284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1636", + "improvement_over_parent": null + }, + "node_1638": { + "node_id": "node_1638", + "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.62 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.62109718984206, + "fos_buckling": 0.9269484910261673, + "fos_yielding": 2.631526048492115, + "deflection": 0.004575638988647628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.464)" + }, + "parent_node_id": "node_1637", + "improvement_over_parent": null + }, + "node_1639": { + "node_id": "node_1639", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.61 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.61046175650193, + "fos_buckling": 1.541199364822325, + "fos_yielding": 2.650205898977793, + "deflection": 0.0039584867317727385, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_1638", + "improvement_over_parent": null + }, + "node_1640": { + "node_id": "node_1640", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1639", + "improvement_over_parent": null + }, + "node_1641": { + "node_id": "node_1641", + "content": "INITIAL DESIGN (Trace 237)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 166.99 kg\n Factor of Safety: 1.07\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.99193175926413, + "fos_buckling": 1.0682173156515364, + "fos_yielding": 1.7478096221348631, + "deflection": 0.006013601234840161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1642": { + "node_id": "node_1642", + "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 167.65 kg\n Factor of Safety: 1.08\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.64652139334888, + "fos_buckling": 1.0772768325103361, + "fos_yielding": 1.7485382224744428, + "deflection": 0.00600375795555435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.233)" + }, + "parent_node_id": "node_1641", + "improvement_over_parent": null + }, + "node_1643": { + "node_id": "node_1643", + "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 168.26 kg\n Factor of Safety: 1.08\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.25999839442542, + "fos_buckling": 1.0780070467581326, + "fos_yielding": 1.7451915548540888, + "deflection": 0.006011990909855178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.176)" + }, + "parent_node_id": "node_1642", + "improvement_over_parent": null + }, + "node_1644": { + "node_id": "node_1644", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 217.99 kg\n Factor of Safety: 1.35\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.9937645862571, + "fos_buckling": 1.3478405612412876, + "fos_yielding": 2.25574022808466, + "deflection": 0.004653947438775113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1643", + "improvement_over_parent": null + }, + "node_1645": { + "node_id": "node_1645", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.31 kg\n Factor of Safety: 1.54\n Max Deflection: 3.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.314435300962, + "fos_buckling": 1.5407256392065587, + "fos_yielding": 2.6474896675060244, + "deflection": 0.003967043131676195, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_1644", + "improvement_over_parent": null + }, + "node_1646": { + "node_id": "node_1646", + "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.44 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.43874795428417, + "fos_buckling": 1.5404167626726009, + "fos_yielding": 2.648517258382774, + "deflection": 0.003961186454442226, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.224)" + }, + "parent_node_id": "node_1645", + "improvement_over_parent": null + }, + "node_1647": { + "node_id": "node_1647", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1646", + "improvement_over_parent": null + }, + "node_1648": { + "node_id": "node_1648", + "content": "INITIAL DESIGN (Trace 238)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\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_1649": { + "node_id": "node_1649", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n\nPerformance:\n Mass: 176.48 kg\n Factor of Safety: 0.04\n Max Deflection: 2.16e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.47909126698312, + "fos_buckling": 0.042317468246162046, + "fos_yielding": 0.5429349822439657, + "deflection": 0.021564102297455444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002494)" + }, + "parent_node_id": "node_1648", + "improvement_over_parent": null + }, + "node_1650": { + "node_id": "node_1650", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n Mass: 211.48 kg\n Factor of Safety: 0.05\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": 211.48352775343014, + "fos_buckling": 0.04914033178551087, + "fos_yielding": 0.6492419961015106, + "deflection": 0.018038829405177235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_1649", + "improvement_over_parent": null + }, + "node_1651": { + "node_id": "node_1651", + "content": "MODIFICATION: Increase 16 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n Mass: 218.53 kg\n Factor of Safety: 0.05\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": 218.53238889961798, + "fos_buckling": 0.04913485267855466, + "fos_yielding": 0.6491696061479255, + "deflection": 0.01799154693803214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.379)" + }, + "parent_node_id": "node_1650", + "improvement_over_parent": null + }, + "node_1652": { + "node_id": "node_1652", + "content": "MODIFICATION: Increase 12 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n Mass: 224.54 kg\n Factor of Safety: 0.05\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.53982138533314, + "fos_buckling": 0.049111518366440864, + "fos_yielding": 0.6488613132483062, + "deflection": 0.017361503393037804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.506)" + }, + "parent_node_id": "node_1651", + "improvement_over_parent": null + }, + "node_1653": { + "node_id": "node_1653", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 245.50 kg\n Factor of Safety: 0.05\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.49600539214876, + "fos_buckling": 0.049062750720467896, + "fos_yielding": 0.6482169951766485, + "deflection": 0.017391348637264492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_1652", + "improvement_over_parent": null + }, + "node_1654": { + "node_id": "node_1654", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 250.50 kg\n Factor of Safety: 0.05\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.49923200081508, + "fos_buckling": 0.04905112190853675, + "fos_yielding": 0.6480633553293755, + "deflection": 0.014851063323875598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_1653", + "improvement_over_parent": null + }, + "node_1655": { + "node_id": "node_1655", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 260.06 kg\n Factor of Safety: 1.42\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.0623729800349, + "fos_buckling": 1.4248278198350721, + "fos_yielding": 2.6349333386891596, + "deflection": 0.00393844469669179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_1654", + "improvement_over_parent": null + }, + "node_1656": { + "node_id": "node_1656", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1655", + "improvement_over_parent": null + }, + "node_1657": { + "node_id": "node_1657", + "content": "INITIAL DESIGN (Trace 239)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 242.72 kg\n Factor of Safety: 1.13\n Max Deflection: 4.21e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.7233758030882, + "fos_buckling": 1.1348007975153807, + "fos_yielding": 2.6299408558186794, + "deflection": 0.004210051458910646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1658": { + "node_id": "node_1658", + "content": "MODIFICATION: Increase 13 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 253.12 kg\n Factor of Safety: 1.13\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.1245228691798, + "fos_buckling": 1.132364974815681, + "fos_yielding": 2.648604572643265, + "deflection": 0.004042355397324315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.529)" + }, + "parent_node_id": "node_1657", + "improvement_over_parent": null + }, + "node_1659": { + "node_id": "node_1659", + "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.85 kg\n Factor of Safety: 1.19\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.85226883973505, + "fos_buckling": 1.1919325022050535, + "fos_yielding": 2.647340546079233, + "deflection": 0.003997037049664233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.493)" + }, + "parent_node_id": "node_1658", + "improvement_over_parent": null + }, + "node_1660": { + "node_id": "node_1660", + "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.98 kg\n Factor of Safety: 1.21\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.97771790190015, + "fos_buckling": 1.2107138545449294, + "fos_yielding": 2.6484913548627538, + "deflection": 0.003990123045628541, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.224)" + }, + "parent_node_id": "node_1659", + "improvement_over_parent": null + }, + "node_1661": { + "node_id": "node_1661", + "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.55 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5495792434341, + "fos_buckling": 1.5413276850018434, + "fos_yielding": 2.649386019185647, + "deflection": 0.003959658728937183, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.548)" + }, + "parent_node_id": "node_1660", + "improvement_over_parent": null + }, + "node_1662": { + "node_id": "node_1662", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1661", + "improvement_over_parent": null + }, + "node_1663": { + "node_id": "node_1663", + "content": "INITIAL DESIGN (Trace 240)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 218.91 kg\n Factor of Safety: 0.40\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.9079866063028, + "fos_buckling": 0.40377051033422184, + "fos_yielding": 1.9674973727206801, + "deflection": 0.005180644459629508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1664": { + "node_id": "node_1664", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.02 kg\n Factor of Safety: 0.45\n Max Deflection: 4.61e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.01815214393469, + "fos_buckling": 0.4456782136030791, + "fos_yielding": 2.2125531828172735, + "deflection": 0.004614605124539543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_1663", + "improvement_over_parent": null + }, + "node_1665": { + "node_id": "node_1665", + "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.54 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.53725191108003, + "fos_buckling": 0.4690393166967463, + "fos_yielding": 2.4842289163121674, + "deflection": 0.004478304191504561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.221)" + }, + "parent_node_id": "node_1664", + "improvement_over_parent": null + }, + "node_1666": { + "node_id": "node_1666", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.50900530977566, + "fos_buckling": 1.5407364519332372, + "fos_yielding": 2.649171210281137, + "deflection": 0.0039603097293541565, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_1665", + "improvement_over_parent": null + }, + "node_1667": { + "node_id": "node_1667", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1666", + "improvement_over_parent": null + }, + "node_1668": { + "node_id": "node_1668", + "content": "INITIAL DESIGN (Trace 241)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 128.65 kg\n Factor of Safety: 0.22\n Max Deflection: 7.99e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.64874994716632, + "fos_buckling": 0.22334459518883412, + "fos_yielding": 1.1433609719728925, + "deflection": 0.007991044382258627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1669": { + "node_id": "node_1669", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 165.82 kg\n Factor of Safety: 0.28\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.81710581991985, + "fos_buckling": 0.28112313056821603, + "fos_yielding": 1.4791858286068837, + "deflection": 0.0062132197280063495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_1668", + "improvement_over_parent": null + }, + "node_1670": { + "node_id": "node_1670", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 199.94 kg\n Factor of Safety: 0.33\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.94116476624563, + "fos_buckling": 0.33148041715067983, + "fos_yielding": 1.7901142463799355, + "deflection": 0.005163025688178833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_1669", + "improvement_over_parent": null + }, + "node_1671": { + "node_id": "node_1671", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n Mass: 208.48 kg\n Factor of Safety: 0.53\n Max Deflection: 4.56e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.48207790528895, + "fos_buckling": 0.5301002182712597, + "fos_yielding": 1.6826349478379086, + "deflection": 0.004556285528728227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003092)" + }, + "parent_node_id": "node_1670", + "improvement_over_parent": null + }, + "node_1672": { + "node_id": "node_1672", + "content": "MODIFICATION: Increase 18 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0050)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n Mass: 212.19 kg\n Factor of Safety: 0.53\n Max Deflection: 4.51e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.19388542779657, + "fos_buckling": 0.5283406343443395, + "fos_yielding": 1.6831966553615616, + "deflection": 0.00450720428222307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.225)" + }, + "parent_node_id": "node_1671", + "improvement_over_parent": null + }, + "node_1673": { + "node_id": "node_1673", + "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0050)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n Mass: 214.65 kg\n Factor of Safety: 0.63\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.6503531682301, + "fos_buckling": 0.631228771690534, + "fos_yielding": 2.1934450735227307, + "deflection": 0.004435058874061425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.565)" + }, + "parent_node_id": "node_1672", + "improvement_over_parent": null + }, + "node_1674": { + "node_id": "node_1674", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0059)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 250.76 kg\n Factor of Safety: 0.72\n Max Deflection: 3.80e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.7550790049057, + "fos_buckling": 0.7228178238869075, + "fos_yielding": 2.55913290191361, + "deflection": 0.003804660346653408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1673", + "improvement_over_parent": null + }, + "node_1675": { + "node_id": "node_1675", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0059)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 258.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.59384202288516, + "fos_buckling": 1.5405230104668832, + "fos_yielding": 2.646082243647486, + "deflection": 0.003948660752731713, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_1674", + "improvement_over_parent": null + }, + "node_1676": { + "node_id": "node_1676", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1675", + "improvement_over_parent": null + }, + "node_1677": { + "node_id": "node_1677", + "content": "INITIAL DESIGN (Trace 242)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 133.63 kg\n Factor of Safety: 0.22\n Max Deflection: 3.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.63320101598725, + "fos_buckling": 0.22289706121073072, + "fos_yielding": 0.6630935823659353, + "deflection": 0.03654620664657449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1678": { + "node_id": "node_1678", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 168.43 kg\n Factor of Safety: 0.27\n Max Deflection: 2.91e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.42995946187915, + "fos_buckling": 0.2735135979872633, + "fos_yielding": 0.8328358014404762, + "deflection": 0.029072474986940024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_1677", + "improvement_over_parent": null + }, + "node_1679": { + "node_id": "node_1679", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n Mass: 174.58 kg\n Factor of Safety: 0.34\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.58391376270586, + "fos_buckling": 0.34477633572517036, + "fos_yielding": 1.772875825240297, + "deflection": 0.006323512456169173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002788)" + }, + "parent_node_id": "node_1678", + "improvement_over_parent": null + }, + "node_1680": { + "node_id": "node_1680", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 203.11 kg\n Factor of Safety: 0.39\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.11465614669999, + "fos_buckling": 0.3936611908112912, + "fos_yielding": 2.0599541525357616, + "deflection": 0.0054431048407723856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1679", + "improvement_over_parent": null + }, + "node_1681": { + "node_id": "node_1681", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 244.77 kg\n Factor of Safety: 0.46\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.7710842935733, + "fos_buckling": 0.46123521585286986, + "fos_yielding": 2.4777667306491598, + "deflection": 0.004526251293349257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1680", + "improvement_over_parent": null + }, + "node_1682": { + "node_id": "node_1682", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 254.74 kg\n Factor of Safety: 1.36\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.74283769226895, + "fos_buckling": 1.3559098513384613, + "fos_yielding": 2.645007273227176, + "deflection": 0.0039950869017026745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_1681", + "improvement_over_parent": null + }, + "node_1683": { + "node_id": "node_1683", + "content": "MODIFICATION: Increase 12 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0060)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 260.19 kg\n Factor of Safety: 1.36\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.19323234526513, + "fos_buckling": 1.3564163076842768, + "fos_yielding": 2.6389726666026516, + "deflection": 0.003964375487712107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.325)" + }, + "parent_node_id": "node_1682", + "improvement_over_parent": null + }, + "node_1684": { + "node_id": "node_1684", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1683", + "improvement_over_parent": null + }, + "node_1685": { + "node_id": "node_1685", + "content": "INITIAL DESIGN (Trace 243)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 182.82 kg\n Factor of Safety: 0.75\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.81759484593292, + "fos_buckling": 0.7476366601593437, + "fos_yielding": 1.3542880162028663, + "deflection": 0.006576882568906984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1686": { + "node_id": "node_1686", + "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 184.84 kg\n Factor of Safety: 0.75\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.83652082993422, + "fos_buckling": 0.7475931383111781, + "fos_yielding": 1.8869536229419326, + "deflection": 0.006209803721784304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.422)" + }, + "parent_node_id": "node_1685", + "improvement_over_parent": null + }, + "node_1687": { + "node_id": "node_1687", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 234.51 kg\n Factor of Safety: 0.91\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.50636464121715, + "fos_buckling": 0.9124120968880247, + "fos_yielding": 2.3880160619729343, + "deflection": 0.004907785882605049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1686", + "improvement_over_parent": null + }, + "node_1688": { + "node_id": "node_1688", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 252.55 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.54890084396482, + "fos_buckling": 1.1628164847764588, + "fos_yielding": 2.4266547935472236, + "deflection": 0.004481943668236874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_1687", + "improvement_over_parent": null + }, + "node_1689": { + "node_id": "node_1689", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.55 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.55212745263117, + "fos_buckling": 1.5409399029684339, + "fos_yielding": 2.64962588257752, + "deflection": 0.00395962068791892, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_1688", + "improvement_over_parent": null + }, + "node_1690": { + "node_id": "node_1690", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1689", + "improvement_over_parent": null + }, + "node_1691": { + "node_id": "node_1691", + "content": "INITIAL DESIGN (Trace 244)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 192.06 kg\n Factor of Safety: 0.34\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": 192.05885451123535, + "fos_buckling": 0.34197384251280666, + "fos_yielding": 1.1779506367149817, + "deflection": 0.014637733126877961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1692": { + "node_id": "node_1692", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 218.26 kg\n Factor of Safety: 0.39\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": 218.25951900295846, + "fos_buckling": 0.3853809816063197, + "fos_yielding": 1.3361152096703144, + "deflection": 0.012897650072044669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_1691", + "improvement_over_parent": null + }, + "node_1693": { + "node_id": "node_1693", + "content": "MODIFICATION: Increase 16 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 222.36 kg\n Factor of Safety: 0.42\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": 222.36286838179976, + "fos_buckling": 0.41727739870225233, + "fos_yielding": 1.3357142874291614, + "deflection": 0.01244703061675595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.458)" + }, + "parent_node_id": "node_1692", + "improvement_over_parent": null + }, + "node_1694": { + "node_id": "node_1694", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 245.86 kg\n Factor of Safety: 0.45\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": 245.8619605648754, + "fos_buckling": 0.4529779731602184, + "fos_yielding": 1.474476997503546, + "deflection": 0.011273886019276858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_1693", + "improvement_over_parent": null + }, + "node_1695": { + "node_id": "node_1695", + "content": "MODIFICATION: Increase 16 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.73 kg\n Factor of Safety: 0.45\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": 248.7315625862102, + "fos_buckling": 0.45286643684427186, + "fos_yielding": 1.474168118612914, + "deflection": 0.011123956428051637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.208)" + }, + "parent_node_id": "node_1694", + "improvement_over_parent": null + }, + "node_1696": { + "node_id": "node_1696", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.36842611386373, + "fos_buckling": 1.5400696084092378, + "fos_yielding": 2.6477801684214306, + "deflection": 0.003962108439838127, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_1695", + "improvement_over_parent": null + }, + "node_1697": { + "node_id": "node_1697", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1696", + "improvement_over_parent": null + }, + "node_1698": { + "node_id": "node_1698", + "content": "INITIAL DESIGN (Trace 245)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 152.50 kg\n Factor of Safety: 0.81\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.49887643257995, + "fos_buckling": 0.8079374170168906, + "fos_yielding": 1.6246376447580508, + "deflection": 0.006661467759913124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1699": { + "node_id": "node_1699", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 188.94 kg\n Factor of Safety: 0.99\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.9358395106695, + "fos_buckling": 0.985939642134755, + "fos_yielding": 2.008866478251099, + "deflection": 0.005387562625097097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_1698", + "improvement_over_parent": null + }, + "node_1700": { + "node_id": "node_1700", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 218.14 kg\n Factor of Safety: 1.12\n Max Deflection: 4.67e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.13794353249452, + "fos_buckling": 1.1243842285850654, + "fos_yielding": 2.315685410430728, + "deflection": 0.004673805660829436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_1699", + "improvement_over_parent": null + }, + "node_1701": { + "node_id": "node_1701", + "content": "MODIFICATION: Increase 15 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 222.04 kg\n Factor of Safety: 1.36\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.04161584982728, + "fos_buckling": 1.3634907282451048, + "fos_yielding": 2.288135629082939, + "deflection": 0.004583388481726278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.531)" + }, + "parent_node_id": "node_1700", + "improvement_over_parent": null + }, + "node_1702": { + "node_id": "node_1702", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.61 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6146021523946, + "fos_buckling": 1.5412792828462911, + "fos_yielding": 2.6504042432100694, + "deflection": 0.0039585933906124485, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1701", + "improvement_over_parent": null + }, + "node_1703": { + "node_id": "node_1703", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1702", + "improvement_over_parent": null + }, + "node_1704": { + "node_id": "node_1704", + "content": "INITIAL DESIGN (Trace 246)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 124.06 kg\n Factor of Safety: 0.36\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.0586359014579, + "fos_buckling": 0.3624767774313978, + "fos_yielding": 1.2809760866023747, + "deflection": 0.010084541560277126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1705": { + "node_id": "node_1705", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0027)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 154.94 kg\n Factor of Safety: 0.44\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.94192273507042, + "fos_buckling": 0.4435817874081224, + "fos_yielding": 1.595867877649347, + "deflection": 0.008093755812324003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_1704", + "improvement_over_parent": null + }, + "node_1706": { + "node_id": "node_1706", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0027)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n\nPerformance:\n Mass: 159.60 kg\n Factor of Safety: 0.69\n Max Deflection: 6.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.59708000793623, + "fos_buckling": 0.6882707554659275, + "fos_yielding": 1.8297588407283771, + "deflection": 0.006715296083850447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002035)" + }, + "parent_node_id": "node_1705", + "improvement_over_parent": null + }, + "node_1707": { + "node_id": "node_1707", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n\nPerformance:\n Mass: 179.73 kg\n Factor of Safety: 0.76\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.72922122528072, + "fos_buckling": 0.7619234703465722, + "fos_yielding": 2.058146881120841, + "deflection": 0.005970826049484063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_1706", + "improvement_over_parent": null + }, + "node_1708": { + "node_id": "node_1708", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 228.05 kg\n Factor of Safety: 0.93\n Max Deflection: 4.72e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.04867343554784, + "fos_buckling": 0.9269275242474839, + "fos_yielding": 2.6040253568667504, + "deflection": 0.004720406431102716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1707", + "improvement_over_parent": null + }, + "node_1709": { + "node_id": "node_1709", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 229.55 kg\n Factor of Safety: 0.93\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.5544203881162, + "fos_buckling": 0.926848140525643, + "fos_yielding": 2.613006004061833, + "deflection": 0.00473438756978053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.261)" + }, + "parent_node_id": "node_1708", + "improvement_over_parent": null + }, + "node_1710": { + "node_id": "node_1710", + "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0068)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 237.75 kg\n Factor of Safety: 0.93\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.74904766856386, + "fos_buckling": 0.9266321969535496, + "fos_yielding": 2.6039329881481015, + "deflection": 0.004678037503741555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.497)" + }, + "parent_node_id": "node_1709", + "improvement_over_parent": null + }, + "node_1711": { + "node_id": "node_1711", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0068)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 255.74 kg\n Factor of Safety: 1.17\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.73841223522376, + "fos_buckling": 1.1721324390503967, + "fos_yielding": 2.6221740165006495, + "deflection": 0.004063126006537454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_1710", + "improvement_over_parent": null + }, + "node_1712": { + "node_id": "node_1712", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1711", + "improvement_over_parent": null + }, + "node_1713": { + "node_id": "node_1713", + "content": "INITIAL DESIGN (Trace 247)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 152.97 kg\n Factor of Safety: 0.80\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.97137005051871, + "fos_buckling": 0.802375148645928, + "fos_yielding": 1.573892379775332, + "deflection": 0.006934371194809769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1714": { + "node_id": "node_1714", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 194.91 kg\n Factor of Safety: 0.99\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.90842014817832, + "fos_buckling": 0.9897870427419401, + "fos_yielding": 2.001544683578807, + "deflection": 0.0054560328419658265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1713", + "improvement_over_parent": null + }, + "node_1715": { + "node_id": "node_1715", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 210.62 kg\n Factor of Safety: 1.30\n Max Deflection: 4.79e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.61667358454937, + "fos_buckling": 1.3011188081657667, + "fos_yielding": 2.1784091665277145, + "deflection": 0.004786284263255943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003693)" + }, + "parent_node_id": "node_1714", + "improvement_over_parent": null + }, + "node_1716": { + "node_id": "node_1716", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 211.88 kg\n Factor of Safety: 1.31\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.88287097508237, + "fos_buckling": 1.310642076355718, + "fos_yielding": 2.1842649193858534, + "deflection": 0.004800430934101569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.263)" + }, + "parent_node_id": "node_1715", + "improvement_over_parent": null + }, + "node_1717": { + "node_id": "node_1717", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.42 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4211767217762, + "fos_buckling": 1.5403079061548377, + "fos_yielding": 2.6482002966520004, + "deflection": 0.003961609934742004, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1716", + "improvement_over_parent": null + }, + "node_1718": { + "node_id": "node_1718", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1717", + "improvement_over_parent": null + }, + "node_1719": { + "node_id": "node_1719", + "content": "INITIAL DESIGN (Trace 248)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.36 kg\n Factor of Safety: 1.16\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.3585436289246, + "fos_buckling": 1.1590255234525115, + "fos_yielding": 2.642940103134295, + "deflection": 0.004123288416203331, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1720": { + "node_id": "node_1720", + "content": "MODIFICATION: Increase 14 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.27 kg\n Factor of Safety: 1.19\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.27026332213856, + "fos_buckling": 1.1927457857444912, + "fos_yielding": 2.624005985093947, + "deflection": 0.004072758860048906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.295)" + }, + "parent_node_id": "node_1719", + "improvement_over_parent": null + }, + "node_1721": { + "node_id": "node_1721", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 255.91 kg\n Factor of Safety: 1.45\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.9128635509579, + "fos_buckling": 1.4543275855254443, + "fos_yielding": 2.640525105868988, + "deflection": 0.003986374345797505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_1720", + "improvement_over_parent": null + }, + "node_1722": { + "node_id": "node_1722", + "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5261611217628, + "fos_buckling": 1.5408260360540953, + "fos_yielding": 2.6493728778791716, + "deflection": 0.003959953868292412, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.212)" + }, + "parent_node_id": "node_1721", + "improvement_over_parent": null + }, + "node_1723": { + "node_id": "node_1723", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1722", + "improvement_over_parent": null + }, + "node_1724": { + "node_id": "node_1724", + "content": "INITIAL DESIGN (Trace 249)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 161.79 kg\n Factor of Safety: 0.66\n Max Deflection: 6.44e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.79041247059286, + "fos_buckling": 0.664434901991239, + "fos_yielding": 1.64967107568354, + "deflection": 0.006442647165161895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1725": { + "node_id": "node_1725", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 201.22 kg\n Factor of Safety: 0.80\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.2180441624198, + "fos_buckling": 0.8017312783098122, + "fos_yielding": 2.0471670484397184, + "deflection": 0.005192074941594967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_1724", + "improvement_over_parent": null + }, + "node_1726": { + "node_id": "node_1726", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 202.50 kg\n Factor of Safety: 0.80\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.50014983954742, + "fos_buckling": 0.8017016519913597, + "fos_yielding": 2.0470917763872345, + "deflection": 0.005144281961388721, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.236)" + }, + "parent_node_id": "node_1725", + "improvement_over_parent": null + }, + "node_1727": { + "node_id": "node_1727", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 217.94 kg\n Factor of Safety: 1.24\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.94206126213672, + "fos_buckling": 1.2362943376759052, + "fos_yielding": 2.2580824656822776, + "deflection": 0.004589314766334062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003746)" + }, + "parent_node_id": "node_1726", + "improvement_over_parent": null + }, + "node_1728": { + "node_id": "node_1728", + "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 220.37 kg\n Factor of Safety: 1.35\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.372919662802, + "fos_buckling": 1.35478254968108, + "fos_yielding": 2.270867458667366, + "deflection": 0.004617841261061148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.613)" + }, + "parent_node_id": "node_1727", + "improvement_over_parent": null + }, + "node_1729": { + "node_id": "node_1729", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.49 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4882035710207, + "fos_buckling": 1.5405649765731664, + "fos_yielding": 2.6488371858321496, + "deflection": 0.003960669236691682, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1728", + "improvement_over_parent": null + }, + "node_1730": { + "node_id": "node_1730", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1729", + "improvement_over_parent": null + }, + "node_1731": { + "node_id": "node_1731", + "content": "INITIAL DESIGN (Trace 250)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 153.83 kg\n Factor of Safety: 0.20\n Max Deflection: 7.40e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.83160520961263, + "fos_buckling": 0.2028055373622238, + "fos_yielding": 1.1701108445030655, + "deflection": 7400354871424.073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1732": { + "node_id": "node_1732", + "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 156.10 kg\n Factor of Safety: 0.20\n Max Deflection: 7.40e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.10407520631742, + "fos_buckling": 0.2028055373622238, + "fos_yielding": 1.1701108445030655, + "deflection": 7400354871424.073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.357)" + }, + "parent_node_id": "node_1731", + "improvement_over_parent": null + }, + "node_1733": { + "node_id": "node_1733", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 167.76 kg\n Factor of Safety: 0.04\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": 167.75501894187363, + "fos_buckling": 0.04285286251877152, + "fos_yielding": 0.5509487616730951, + "deflection": 0.022611156740584656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003235)" + }, + "parent_node_id": "node_1732", + "improvement_over_parent": null + }, + "node_1734": { + "node_id": "node_1734", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 183.04 kg\n Factor of Safety: 0.04\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": 183.04438134102992, + "fos_buckling": 0.042821726720262895, + "fos_yielding": 0.5505484563346941, + "deflection": 0.019729590619907984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003706)" + }, + "parent_node_id": "node_1733", + "improvement_over_parent": null + }, + "node_1735": { + "node_id": "node_1735", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n Mass: 191.15 kg\n Factor of Safety: 0.23\n Max Deflection: 9.59e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.14784417429183, + "fos_buckling": 0.233167932985958, + "fos_yielding": 1.2345461306729546, + "deflection": 0.009586352806493363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003533)" + }, + "parent_node_id": "node_1734", + "improvement_over_parent": null + }, + "node_1736": { + "node_id": "node_1736", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n\nPerformance:\n Mass: 212.99 kg\n Factor of Safety: 1.16\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.99361547034286, + "fos_buckling": 1.1564098716558915, + "fos_yielding": 2.2407942980379603, + "deflection": 0.004764368185932352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003919)" + }, + "parent_node_id": "node_1735", + "improvement_over_parent": null + }, + "node_1737": { + "node_id": "node_1737", + "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0028)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n\nPerformance:\n Mass: 214.29 kg\n Factor of Safety: 1.16\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.29279121996737, + "fos_buckling": 1.1575576032427253, + "fos_yielding": 2.2343183997550953, + "deflection": 0.00477405490542788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.258)" + }, + "parent_node_id": "node_1736", + "improvement_over_parent": null + }, + "node_1738": { + "node_id": "node_1738", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0034)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n\nPerformance:\n Mass: 252.97 kg\n Factor of Safety: 1.34\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.97188373187436, + "fos_buckling": 1.3383248156381258, + "fos_yielding": 2.6327905171120123, + "deflection": 0.004052334656792018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 251)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 169.84 kg\n Factor of Safety: 0.51\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.83651009319237, + "fos_buckling": 0.5077549529212114, + "fos_yielding": 1.8735535546422202, + "deflection": 0.006027278045420898, + "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: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 195.17 kg\n Factor of Safety: 0.57\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.17045144181694, + "fos_buckling": 0.5744656093614559, + "fos_yielding": 2.150704170755646, + "deflection": 0.005253552450332892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 210.33 kg\n Factor of Safety: 0.63\n Max Deflection: 4.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.32639779563692, + "fos_buckling": 0.6278723147343895, + "fos_yielding": 2.161385381777611, + "deflection": 0.004518685939123085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003677)" + }, + "parent_node_id": "node_1741", + "improvement_over_parent": null + }, + "node_1743": { + "node_id": "node_1743", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n Mass: 216.93 kg\n Factor of Safety: 1.34\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.92817211864127, + "fos_buckling": 1.3369680544549698, + "fos_yielding": 2.235797140451464, + "deflection": 0.004690071906183773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002692)" + }, + "parent_node_id": "node_1742", + "improvement_over_parent": null + }, + "node_1744": { + "node_id": "node_1744", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.61 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.61351107946905, + "fos_buckling": 1.5412181447591573, + "fos_yielding": 2.6501982065439997, + "deflection": 0.003958633117593826, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 252)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 172.25 kg\n Factor of Safety: 0.04\n Max Deflection: 2.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.25481414312543, + "fos_buckling": 0.03813662229113983, + "fos_yielding": 0.4812897008075364, + "deflection": 0.023452488056442514, + "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 6 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n\nPerformance:\n Mass: 179.34 kg\n Factor of Safety: 0.97\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.33712869698638, + "fos_buckling": 0.9675586146844423, + "fos_yielding": 1.9743726756225166, + "deflection": 0.0055749113886849715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003057)" + }, + "parent_node_id": "node_1746", + "improvement_over_parent": null + }, + "node_1748": { + "node_id": "node_1748", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n\nPerformance:\n Mass: 217.77 kg\n Factor of Safety: 1.14\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.76578666002683, + "fos_buckling": 1.1427573620425366, + "fos_yielding": 2.391820147667502, + "deflection": 0.0046013484962454075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_1747", + "improvement_over_parent": null + }, + "node_1749": { + "node_id": "node_1749", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 242.42 kg\n Factor of Safety: 1.25\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.41692507905557, + "fos_buckling": 1.249213762468213, + "fos_yielding": 2.6585161960685424, + "deflection": 0.004139352985405378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1748", + "improvement_over_parent": null + }, + "node_1750": { + "node_id": "node_1750", + "content": "MODIFICATION: Increase 14 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 244.32 kg\n Factor of Safety: 1.26\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.32018457842466, + "fos_buckling": 1.2613942568106289, + "fos_yielding": 2.6516650231490777, + "deflection": 0.0041480933137233375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.330)" + }, + "parent_node_id": "node_1749", + "improvement_over_parent": null + }, + "node_1751": { + "node_id": "node_1751", + "content": "MODIFICATION: Increase 17 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0054)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 247.90 kg\n Factor of Safety: 1.29\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.9022488281835, + "fos_buckling": 1.2913683375175737, + "fos_yielding": 2.65363722406403, + "deflection": 0.004113686679234105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.224)" + }, + "parent_node_id": "node_1750", + "improvement_over_parent": null + }, + "node_1752": { + "node_id": "node_1752", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0054)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 254.54 kg\n Factor of Safety: 1.37\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.54484905700284, + "fos_buckling": 1.3650876959193603, + "fos_yielding": 2.6647643946969373, + "deflection": 0.004058383759410364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_1751", + "improvement_over_parent": null + }, + "node_1753": { + "node_id": "node_1753", + "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0054)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 255.96 kg\n Factor of Safety: 1.39\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.95542005320155, + "fos_buckling": 1.3904206845352183, + "fos_yielding": 2.669905312753449, + "deflection": 0.004065374967637442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.202)" + }, + "parent_node_id": "node_1752", + "improvement_over_parent": null + }, + "node_1754": { + "node_id": "node_1754", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1753", + "improvement_over_parent": null + }, + "node_1755": { + "node_id": "node_1755", + "content": "INITIAL DESIGN (Trace 253)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 207.75 kg\n Factor of Safety: 0.47\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.7502118961224, + "fos_buckling": 0.46504924966629135, + "fos_yielding": 2.0347387549552587, + "deflection": 0.005905492714887159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1756": { + "node_id": "node_1756", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 228.71 kg\n Factor of Safety: 0.75\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.70639590293803, + "fos_buckling": 0.7528473407646022, + "fos_yielding": 1.944835083490996, + "deflection": 0.005043061250613868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_1755", + "improvement_over_parent": null + }, + "node_1757": { + "node_id": "node_1757", + "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 231.11 kg\n Factor of Safety: 0.78\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.10891274688777, + "fos_buckling": 0.779136153753891, + "fos_yielding": 1.9277647861772425, + "deflection": 0.004979953051882782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.348)" + }, + "parent_node_id": "node_1756", + "improvement_over_parent": null + }, + "node_1758": { + "node_id": "node_1758", + "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 232.26 kg\n Factor of Safety: 0.78\n Max Deflection: 4.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.2590838973934, + "fos_buckling": 0.7789831942581626, + "fos_yielding": 1.923993211908649, + "deflection": 0.004935812517699611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.230)" + }, + "parent_node_id": "node_1757", + "improvement_over_parent": null + }, + "node_1759": { + "node_id": "node_1759", + "content": "MODIFICATION: Increase 19 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n\nPerformance:\n Mass: 236.96 kg\n Factor of Safety: 0.78\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.95701627496902, + "fos_buckling": 0.7784630017326156, + "fos_yielding": 1.9208932059338668, + "deflection": 0.0049074345137484566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.253)" + }, + "parent_node_id": "node_1758", + "improvement_over_parent": null + }, + "node_1760": { + "node_id": "node_1760", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 254.95 kg\n Factor of Safety: 1.10\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.94638084162892, + "fos_buckling": 1.1019096207689216, + "fos_yielding": 1.901450310246987, + "deflection": 0.004167852843794908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_1759", + "improvement_over_parent": null + }, + "node_1761": { + "node_id": "node_1761", + "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 258.26 kg\n Factor of Safety: 1.41\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.2565783223015, + "fos_buckling": 1.4060671181903512, + "fos_yielding": 2.6541659297192113, + "deflection": 0.003960865625374332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.580)" + }, + "parent_node_id": "node_1760", + "improvement_over_parent": null + }, + "node_1762": { + "node_id": "node_1762", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1761", + "improvement_over_parent": null + }, + "node_1763": { + "node_id": "node_1763", + "content": "INITIAL DESIGN (Trace 254)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 138.77 kg\n Factor of Safety: 0.37\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": 138.77236831884906, + "fos_buckling": 0.37415436434679755, + "fos_yielding": 1.2596203959136516, + "deflection": 16908446719741.703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1764": { + "node_id": "node_1764", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n\nPerformance:\n Mass: 143.09 kg\n Factor of Safety: 0.09\n Max Deflection: 9.44e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.08908786377432, + "fos_buckling": 0.0887872946525301, + "fos_yielding": 0.5642195389126584, + "deflection": 9440033062526.91, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001705)" + }, + "parent_node_id": "node_1763", + "improvement_over_parent": null + }, + "node_1765": { + "node_id": "node_1765", + "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n\nPerformance:\n Mass: 143.61 kg\n Factor of Safety: 0.09\n Max Deflection: 1.34e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.6113665026507, + "fos_buckling": 0.0887872946525301, + "fos_yielding": 0.7045569695842968, + "deflection": 13402589959992.92, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.214)" + }, + "parent_node_id": "node_1764", + "improvement_over_parent": null + }, + "node_1766": { + "node_id": "node_1766", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n Mass: 178.20 kg\n Factor of Safety: 0.08\n Max Deflection: 9.31e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.20244084644068, + "fos_buckling": 0.07972487141161314, + "fos_yielding": 0.4387915666886495, + "deflection": 9313222309881.273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_1765", + "improvement_over_parent": null + }, + "node_1767": { + "node_id": "node_1767", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 0.98\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.31099342688756, + "fos_buckling": 0.9836339057661841, + "fos_yielding": 1.9857128420345578, + "deflection": 0.0055166941056236235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004742)" + }, + "parent_node_id": "node_1766", + "improvement_over_parent": null + }, + "node_1768": { + "node_id": "node_1768", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 208.40 kg\n Factor of Safety: 1.24\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.4005535049402, + "fos_buckling": 1.2357274232213358, + "fos_yielding": 2.1584852234078897, + "deflection": 0.004812323820940711, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002458)" + }, + "parent_node_id": "node_1767", + "improvement_over_parent": null + }, + "node_1769": { + "node_id": "node_1769", + "content": "MODIFICATION: Increase 9 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0043)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 211.75 kg\n Factor of Safety: 1.22\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.75467877450535, + "fos_buckling": 1.222734467585126, + "fos_yielding": 2.1702533572169354, + "deflection": 0.004756642183886568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.460)" + }, + "parent_node_id": "node_1768", + "improvement_over_parent": null + }, + "node_1770": { + "node_id": "node_1770", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0053)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 258.91 kg\n Factor of Safety: 1.47\n Max Deflection: 3.90e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.91136787326195, + "fos_buckling": 1.474382838838878, + "fos_yielding": 2.6486814115488153, + "deflection": 0.003901254976450832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1769", + "improvement_over_parent": null + }, + "node_1771": { + "node_id": "node_1771", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1770", + "improvement_over_parent": null + }, + "node_1772": { + "node_id": "node_1772", + "content": "INITIAL DESIGN (Trace 255)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 158.43 kg\n Factor of Safety: 0.83\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.4270895569876, + "fos_buckling": 0.8306120281268797, + "fos_yielding": 1.3767639119732757, + "deflection": 0.006869517713430914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1773": { + "node_id": "node_1773", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 194.78 kg\n Factor of Safety: 0.99\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.78384939663692, + "fos_buckling": 0.9927621579942169, + "fos_yielding": 1.6959914964141851, + "deflection": 0.005596992785146938, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_1772", + "improvement_over_parent": null + }, + "node_1774": { + "node_id": "node_1774", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 210.55 kg\n Factor of Safety: 1.02\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.5473317597707, + "fos_buckling": 1.0176137325327135, + "fos_yielding": 1.7658155762949057, + "deflection": 0.004952730340389672, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003707)" + }, + "parent_node_id": "node_1773", + "improvement_over_parent": null + }, + "node_1775": { + "node_id": "node_1775", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 255.06 kg\n Factor of Safety: 1.21\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.06338369739882, + "fos_buckling": 1.2096109914451831, + "fos_yielding": 2.1441058339605883, + "deflection": 0.004096698891995443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_1774", + "improvement_over_parent": null + }, + "node_1776": { + "node_id": "node_1776", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5365567598923, + "fos_buckling": 1.5409074995755312, + "fos_yielding": 2.6493838931641536, + "deflection": 0.0039600008082581375, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.383)" + }, + "parent_node_id": "node_1775", + "improvement_over_parent": null + }, + "node_1777": { + "node_id": "node_1777", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1776", + "improvement_over_parent": null + }, + "node_1778": { + "node_id": "node_1778", + "content": "INITIAL DESIGN (Trace 256)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 197.67 kg\n Factor of Safety: 0.38\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.66987183032467, + "fos_buckling": 0.38069014402514095, + "fos_yielding": 1.4527745982932618, + "deflection": 0.0058314677324035995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1779": { + "node_id": "node_1779", + "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 200.16 kg\n Factor of Safety: 0.34\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.15517566518187, + "fos_buckling": 0.33768259008521145, + "fos_yielding": 2.04348503783364, + "deflection": 0.0054805763129490434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.451)" + }, + "parent_node_id": "node_1778", + "improvement_over_parent": null + }, + "node_1780": { + "node_id": "node_1780", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 208.27 kg\n Factor of Safety: 1.30\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.27297925858406, + "fos_buckling": 1.2972513794792018, + "fos_yielding": 2.1682288533805334, + "deflection": 0.004838784992573731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002927)" + }, + "parent_node_id": "node_1779", + "improvement_over_parent": null + }, + "node_1781": { + "node_id": "node_1781", + "content": "MODIFICATION: Increase 16 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0049)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 213.18 kg\n Factor of Safety: 1.22\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.17575774286215, + "fos_buckling": 1.2196317798609557, + "fos_yielding": 2.164092392323648, + "deflection": 0.004800964023082897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.370)" + }, + "parent_node_id": "node_1780", + "improvement_over_parent": null + }, + "node_1782": { + "node_id": "node_1782", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 261.94 kg\n Factor of Safety: 1.48\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.9411113965552, + "fos_buckling": 1.4770588493430303, + "fos_yielding": 2.654601321875059, + "deflection": 0.00391706437662765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1781", + "improvement_over_parent": null + }, + "node_1783": { + "node_id": "node_1783", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1782", + "improvement_over_parent": null + }, + "node_1784": { + "node_id": "node_1784", + "content": "INITIAL DESIGN (Trace 257)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\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_1785": { + "node_id": "node_1785", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 169.60 kg\n Factor of Safety: 0.51\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.59995735113156, + "fos_buckling": 0.5070974128778009, + "fos_yielding": 1.7931912102350442, + "deflection": 0.007236954548232499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002357)" + }, + "parent_node_id": "node_1784", + "improvement_over_parent": null + }, + "node_1786": { + "node_id": "node_1786", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 174.64 kg\n Factor of Safety: 0.51\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.64277360584765, + "fos_buckling": 0.5070974128778009, + "fos_yielding": 1.7931912102350442, + "deflection": 0.007236954548232499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.631)" + }, + "parent_node_id": "node_1785", + "improvement_over_parent": null + }, + "node_1787": { + "node_id": "node_1787", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 191.12 kg\n Factor of Safety: 0.93\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.1177884256653, + "fos_buckling": 0.9287043340419386, + "fos_yielding": 1.9130429679195216, + "deflection": 0.005726896588992919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003684)" + }, + "parent_node_id": "node_1786", + "improvement_over_parent": null + }, + "node_1788": { + "node_id": "node_1788", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0057)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 219.32 kg\n Factor of Safety: 1.05\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.32337656569567, + "fos_buckling": 1.054853951273047, + "fos_yielding": 2.193872226722393, + "deflection": 0.004995471547682339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_1787", + "improvement_over_parent": null + }, + "node_1789": { + "node_id": "node_1789", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0064)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 242.96 kg\n Factor of Safety: 1.16\n Max Deflection: 4.51e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.96042175866882, + "fos_buckling": 1.1584042035097077, + "fos_yielding": 2.4289668023159923, + "deflection": 0.0045132066818424224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_1788", + "improvement_over_parent": null + }, + "node_1790": { + "node_id": "node_1790", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0064)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 262.05 kg\n Factor of Safety: 1.17\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.0501655334763, + "fos_buckling": 1.1687649781294038, + "fos_yielding": 2.6427390927225165, + "deflection": 0.003956791533264212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_1789", + "improvement_over_parent": null + }, + "node_1791": { + "node_id": "node_1791", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1790", + "improvement_over_parent": null + }, + "node_1792": { + "node_id": "node_1792", + "content": "INITIAL DESIGN (Trace 258)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 237.63 kg\n Factor of Safety: 0.05\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": 237.62843946686408, + "fos_buckling": 0.04905547346892028, + "fos_yielding": 0.6480540952110687, + "deflection": 0.016728058170872775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1793": { + "node_id": "node_1793", + "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 238.69 kg\n Factor of Safety: 0.05\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": 238.6900752223311, + "fos_buckling": 0.04905382783878428, + "fos_yielding": 0.6480323553872851, + "deflection": 0.016729864215747292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.209)" + }, + "parent_node_id": "node_1792", + "improvement_over_parent": null + }, + "node_1794": { + "node_id": "node_1794", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 243.41 kg\n Factor of Safety: 0.05\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": 243.40689447169268, + "fos_buckling": 0.04905017248850129, + "fos_yielding": 0.6479840658784329, + "deflection": 0.016406448338917867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_1793", + "improvement_over_parent": null + }, + "node_1795": { + "node_id": "node_1795", + "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 244.95 kg\n Factor of Safety: 0.05\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": 244.94864367294053, + "fos_buckling": 0.04904658863163157, + "fos_yielding": 0.6479367208431731, + "deflection": 0.016357240025689845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.225)" + }, + "parent_node_id": "node_1794", + "improvement_over_parent": null + }, + "node_1796": { + "node_id": "node_1796", + "content": "MODIFICATION: Increase 5 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 247.96 kg\n Factor of Safety: 0.05\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": 247.96078275794582, + "fos_buckling": 0.04903958830631723, + "fos_yielding": 0.64784424208052, + "deflection": 0.01600324500281661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.587)" + }, + "parent_node_id": "node_1795", + "improvement_over_parent": null + }, + "node_1797": { + "node_id": "node_1797", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52392373716566, + "fos_buckling": 1.540831980539819, + "fos_yielding": 2.6493468000362634, + "deflection": 0.00396011068570591, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_1796", + "improvement_over_parent": null + }, + "node_1798": { + "node_id": "node_1798", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1797", + "improvement_over_parent": null + }, + "node_1799": { + "node_id": "node_1799", + "content": "INITIAL DESIGN (Trace 259)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 176.39 kg\n Factor of Safety: 1.11\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.38947461426858, + "fos_buckling": 1.107491660669653, + "fos_yielding": 1.851814472134881, + "deflection": 0.005712006645533391, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1800": { + "node_id": "node_1800", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 230.04 kg\n Factor of Safety: 1.39\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.04187452572538, + "fos_buckling": 1.3916783473675949, + "fos_yielding": 2.4084819646337308, + "deflection": 0.004393744141054169, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_1799", + "improvement_over_parent": null + }, + "node_1801": { + "node_id": "node_1801", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.14 kg\n Factor of Safety: 1.51\n Max Deflection: 3.98e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.1421493924206, + "fos_buckling": 1.5113877135272926, + "fos_yielding": 2.6575205819813204, + "deflection": 0.003982770241760339, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_1800", + "improvement_over_parent": null + }, + "node_1802": { + "node_id": "node_1802", + "content": "MODIFICATION: Increase 17 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.83 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.83243936974367, + "fos_buckling": 1.5423118273043512, + "fos_yielding": 2.652493029983657, + "deflection": 0.003955284831621215, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.282)" + }, + "parent_node_id": "node_1801", + "improvement_over_parent": null + }, + "node_1803": { + "node_id": "node_1803", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1802", + "improvement_over_parent": null + }, + "node_1804": { + "node_id": "node_1804", + "content": "INITIAL DESIGN (Trace 260)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 131.93 kg\n Factor of Safety: 0.01\n Max Deflection: 3.03e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.93406965751558, + "fos_buckling": 0.0065930238332032876, + "fos_yielding": 0.0826279754942281, + "deflection": 303494761165639.56, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1805": { + "node_id": "node_1805", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n\nPerformance:\n Mass: 154.30 kg\n Factor of Safety: 0.04\n Max Deflection: 2.63e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.298584636997, + "fos_buckling": 0.03633255627408535, + "fos_yielding": 0.455342744908476, + "deflection": 0.02628798251926527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004018)" + }, + "parent_node_id": "node_1804", + "improvement_over_parent": null + }, + "node_1806": { + "node_id": "node_1806", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n\nPerformance:\n Mass: 160.99 kg\n Factor of Safety: 0.86\n Max Deflection: 6.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.9933908494918, + "fos_buckling": 0.8614156571722368, + "fos_yielding": 1.705406761198974, + "deflection": 0.006482918356896031, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002879)" + }, + "parent_node_id": "node_1805", + "improvement_over_parent": null + }, + "node_1807": { + "node_id": "node_1807", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n Mass: 174.36 kg\n Factor of Safety: 1.03\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.35660571779965, + "fos_buckling": 1.0278770528212362, + "fos_yielding": 1.8710686403502075, + "deflection": 0.005751090245839043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003106)" + }, + "parent_node_id": "node_1806", + "improvement_over_parent": null + }, + "node_1808": { + "node_id": "node_1808", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n\nPerformance:\n Mass: 209.64 kg\n Factor of Safety: 1.21\n Max Deflection: 4.79e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.63765986373588, + "fos_buckling": 1.2064215320327971, + "fos_yielding": 2.2453933267719237, + "deflection": 0.004792813411043369, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_1807", + "improvement_over_parent": null + }, + "node_1809": { + "node_id": "node_1809", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 249.04 kg\n Factor of Safety: 1.39\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.03546347891273, + "fos_buckling": 1.3941717122435184, + "fos_yielding": 2.6616549981542748, + "deflection": 0.004043628986823262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_1808", + "improvement_over_parent": null + }, + "node_1810": { + "node_id": "node_1810", + "content": "MODIFICATION: Increase 17 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 260.10 kg\n Factor of Safety: 1.42\n Max Deflection: 3.97e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.09645193245836, + "fos_buckling": 1.4154332284126694, + "fos_yielding": 2.6593575506736684, + "deflection": 0.00396651103535472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.610)" + }, + "parent_node_id": "node_1809", + "improvement_over_parent": null + }, + "node_1811": { + "node_id": "node_1811", + "content": "MODIFICATION: Increase 17 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0093)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 265.36 kg\n Factor of Safety: 1.42\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.35628415494295, + "fos_buckling": 1.421868529113784, + "fos_yielding": 2.6585638112285275, + "deflection": 0.003944023416750305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.200)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 261)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 208.98 kg\n Factor of Safety: 1.05\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.98148672247098, + "fos_buckling": 1.0502594214941343, + "fos_yielding": 2.146384133438583, + "deflection": 0.00519382116258027, + "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: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 225.83 kg\n Factor of Safety: 1.37\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.8349000908617, + "fos_buckling": 1.3700111679464226, + "fos_yielding": 2.188702455890863, + "deflection": 0.004603790045150559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003985)" + }, + "parent_node_id": "node_1813", + "improvement_over_parent": null + }, + "node_1815": { + "node_id": "node_1815", + "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n Mass: 227.37 kg\n Factor of Safety: 1.39\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.36533442278287, + "fos_buckling": 1.390762009550826, + "fos_yielding": 2.3422458651729166, + "deflection": 0.0044774559947589575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.256)" + }, + "parent_node_id": "node_1814", + "improvement_over_parent": null + }, + "node_1816": { + "node_id": "node_1816", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.37248783406017, + "fos_buckling": 1.5400609526048605, + "fos_yielding": 2.647741121074849, + "deflection": 0.003962272819558221, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_1815", + "improvement_over_parent": null + }, + "node_1817": { + "node_id": "node_1817", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1816", + "improvement_over_parent": null + }, + "node_1818": { + "node_id": "node_1818", + "content": "INITIAL DESIGN (Trace 262)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 147.52 kg\n Factor of Safety: 0.19\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": 147.51806476248447, + "fos_buckling": 0.19456645560554664, + "fos_yielding": 0.9819666155343725, + "deflection": 0.012512966473432557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1819": { + "node_id": "node_1819", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n\nPerformance:\n Mass: 150.69 kg\n Factor of Safety: 0.19\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": 150.69110152620834, + "fos_buckling": 0.19248092099024794, + "fos_yielding": 0.9819172024077916, + "deflection": 0.012134293957040606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001938)" + }, + "parent_node_id": "node_1818", + "improvement_over_parent": null + }, + "node_1820": { + "node_id": "node_1820", + "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n\nPerformance:\n Mass: 151.76 kg\n Factor of Safety: 0.19\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": 151.7587701945669, + "fos_buckling": 0.1909154820277448, + "fos_yielding": 0.9818340805745932, + "deflection": 0.012055068233652173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.211)" + }, + "parent_node_id": "node_1819", + "improvement_over_parent": null + }, + "node_1821": { + "node_id": "node_1821", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n Mass: 175.96 kg\n Factor of Safety: 0.22\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.9632126740046, + "fos_buckling": 0.2172358666334476, + "fos_yielding": 1.1372331847865982, + "deflection": 0.010407119959697586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_1820", + "improvement_over_parent": null + }, + "node_1822": { + "node_id": "node_1822", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n\nPerformance:\n Mass: 195.48 kg\n Factor of Safety: 1.05\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.48371355703452, + "fos_buckling": 1.0526638281094263, + "fos_yielding": 2.0632601308722918, + "deflection": 0.005187043383180339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003479)" + }, + "parent_node_id": "node_1821", + "improvement_over_parent": null + }, + "node_1823": { + "node_id": "node_1823", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n\nPerformance:\n Mass: 250.64 kg\n Factor of Safety: 1.31\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.64359585242823, + "fos_buckling": 1.3115847964562886, + "fos_yielding": 2.6376670122546795, + "deflection": 0.004058303111155053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_1822", + "improvement_over_parent": null + }, + "node_1824": { + "node_id": "node_1824", + "content": "MODIFICATION: Increase 13 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n\nPerformance:\n Mass: 254.24 kg\n Factor of Safety: 1.24\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.24458803858764, + "fos_buckling": 1.2395770515356883, + "fos_yielding": 2.621521411560023, + "deflection": 0.004018836167994971, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.297)" + }, + "parent_node_id": "node_1823", + "improvement_over_parent": null + }, + "node_1825": { + "node_id": "node_1825", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1824", + "improvement_over_parent": null + }, + "node_1826": { + "node_id": "node_1826", + "content": "INITIAL DESIGN (Trace 263)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 188.22 kg\n Factor of Safety: 1.18\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.21813034302394, + "fos_buckling": 1.1787693975668296, + "fos_yielding": 1.9575421024082824, + "deflection": 0.005383528072068245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1827": { + "node_id": "node_1827", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 225.07 kg\n Factor of Safety: 1.37\n Max Deflection: 4.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.0651811158514, + "fos_buckling": 1.3726276988666692, + "fos_yielding": 2.336563993405853, + "deflection": 0.004511926429105259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1826", + "improvement_over_parent": null + }, + "node_1828": { + "node_id": "node_1828", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.01 kg\n Factor of Safety: 1.53\n Max Deflection: 3.97e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.0143317851857, + "fos_buckling": 1.5262228907458766, + "fos_yielding": 2.6538556867922556, + "deflection": 0.003973708608610907, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1827", + "improvement_over_parent": null + }, + "node_1829": { + "node_id": "node_1829", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.69 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.68839875560803, + "fos_buckling": 1.5416035632903813, + "fos_yielding": 2.650935440546389, + "deflection": 0.0039575271819253235, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.188)" + }, + "parent_node_id": "node_1828", + "improvement_over_parent": null + }, + "node_1830": { + "node_id": "node_1830", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1829", + "improvement_over_parent": null + }, + "node_1831": { + "node_id": "node_1831", + "content": "INITIAL DESIGN (Trace 264)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 172.83 kg\n Factor of Safety: 1.03\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.83497666971746, + "fos_buckling": 1.0326366276956307, + "fos_yielding": 1.811260331776646, + "deflection": 0.0058356850504353115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1832": { + "node_id": "node_1832", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 195.77 kg\n Factor of Safety: 1.16\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.76605186864163, + "fos_buckling": 1.1637654309956271, + "fos_yielding": 2.0491631068601435, + "deflection": 0.005159180682256502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_1831", + "improvement_over_parent": null + }, + "node_1833": { + "node_id": "node_1833", + "content": "MODIFICATION: Increase 16 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 197.06 kg\n Factor of Safety: 1.26\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.0572545346094, + "fos_buckling": 1.2559499114593902, + "fos_yielding": 2.0413678015259, + "deflection": 0.005173169347780683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.368)" + }, + "parent_node_id": "node_1832", + "improvement_over_parent": null + }, + "node_1834": { + "node_id": "node_1834", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 198.19 kg\n Factor of Safety: 1.24\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.1948746561938, + "fos_buckling": 1.2379846632853493, + "fos_yielding": 2.0444820376999084, + "deflection": 0.005127756257971226, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.230)" + }, + "parent_node_id": "node_1833", + "improvement_over_parent": null + }, + "node_1835": { + "node_id": "node_1835", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.43 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4255233409392, + "fos_buckling": 1.5402612164297045, + "fos_yielding": 2.648301826702651, + "deflection": 0.003961428167084968, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1834", + "improvement_over_parent": null + }, + "node_1836": { + "node_id": "node_1836", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1835", + "improvement_over_parent": null + }, + "node_1837": { + "node_id": "node_1837", + "content": "INITIAL DESIGN (Trace 265)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 169.39 kg\n Factor of Safety: 0.91\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.39481724202776, + "fos_buckling": 0.9050231371638341, + "fos_yielding": 1.8403076784596524, + "deflection": 0.00597372614709579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1838": { + "node_id": "node_1838", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 208.72 kg\n Factor of Safety: 1.09\n Max Deflection: 4.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.72443179253406, + "fos_buckling": 1.0943454756488344, + "fos_yielding": 2.262205971490478, + "deflection": 0.004858293311338885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1837", + "improvement_over_parent": null + }, + "node_1839": { + "node_id": "node_1839", + "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 216.14 kg\n Factor of Safety: 1.12\n Max Deflection: 4.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.13598332907833, + "fos_buckling": 1.124803849997382, + "fos_yielding": 2.2746925233693323, + "deflection": 0.0047071744199174296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.399)" + }, + "parent_node_id": "node_1838", + "improvement_over_parent": null + }, + "node_1840": { + "node_id": "node_1840", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 251.81 kg\n Factor of Safety: 1.29\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.81118186029965, + "fos_buckling": 1.2904754023007392, + "fos_yielding": 2.645312371786426, + "deflection": 0.004048049666542057, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1839", + "improvement_over_parent": null + }, + "node_1841": { + "node_id": "node_1841", + "content": "MODIFICATION: Increase 18 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.83 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.82622038916963, + "fos_buckling": 1.54296535817303, + "fos_yielding": 2.6520992355580395, + "deflection": 0.003955527398507826, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.441)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 266)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 198.67 kg\n Factor of Safety: 0.97\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.66744614844634, + "fos_buckling": 0.9659627779809332, + "fos_yielding": 1.2086339800713288, + "deflection": 0.005746691213519227, + "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 all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.91 kg\n Factor of Safety: 1.19\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.9084664403372, + "fos_buckling": 1.1852125187072806, + "fos_yielding": 1.5235254324352898, + "deflection": 0.004588667091253027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_1843", + "improvement_over_parent": null + }, + "node_1845": { + "node_id": "node_1845", + "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.11 kg\n Factor of Safety: 1.18\n Max Deflection: 4.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.11374655388957, + "fos_buckling": 1.1847803578060736, + "fos_yielding": 1.5216598078769568, + "deflection": 0.004572044595097904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.348)" + }, + "parent_node_id": "node_1844", + "improvement_over_parent": null + }, + "node_1846": { + "node_id": "node_1846", + "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.94 kg\n Factor of Safety: 1.43\n Max Deflection: 4.40e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.94353040024382, + "fos_buckling": 1.425310063313273, + "fos_yielding": 1.5173317740460546, + "deflection": 0.004398558339442667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.534)" + }, + "parent_node_id": "node_1845", + "improvement_over_parent": null + }, + "node_1847": { + "node_id": "node_1847", + "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.10 kg\n Factor of Safety: 1.48\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.09558190932466, + "fos_buckling": 1.484702842444284, + "fos_yielding": 1.8024245944350648, + "deflection": 0.004236019801259227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.212)" + }, + "parent_node_id": "node_1846", + "improvement_over_parent": null + }, + "node_1848": { + "node_id": "node_1848", + "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5181094786884, + "fos_buckling": 1.5407653078107209, + "fos_yielding": 2.649109649096523, + "deflection": 0.003959950760471491, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.543)" + }, + "parent_node_id": "node_1847", + "improvement_over_parent": null + }, + "node_1849": { + "node_id": "node_1849", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1848", + "improvement_over_parent": null + }, + "node_1850": { + "node_id": "node_1850", + "content": "INITIAL DESIGN (Trace 267)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 225.72 kg\n Factor of Safety: 0.92\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.7185146292351, + "fos_buckling": 0.9210884900972813, + "fos_yielding": 2.2731136114963117, + "deflection": 0.004881400240859835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1851": { + "node_id": "node_1851", + "content": "MODIFICATION: Increase 17 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 228.99 kg\n Factor of Safety: 0.92\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.9871725825868, + "fos_buckling": 0.9209457361110917, + "fos_yielding": 2.2690598423750763, + "deflection": 0.004835532683618724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.203)" + }, + "parent_node_id": "node_1850", + "improvement_over_parent": null + }, + "node_1852": { + "node_id": "node_1852", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 248.08 kg\n Factor of Safety: 1.18\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.07691635739425, + "fos_buckling": 1.180308023031861, + "fos_yielding": 2.37559921146129, + "deflection": 0.004159175271958256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_1851", + "improvement_over_parent": null + }, + "node_1853": { + "node_id": "node_1853", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 249.80 kg\n Factor of Safety: 1.28\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.8045380093407, + "fos_buckling": 1.2788754785717638, + "fos_yielding": 2.6367527600366265, + "deflection": 0.004073448643076991, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.242)" + }, + "parent_node_id": "node_1852", + "improvement_over_parent": null + }, + "node_1854": { + "node_id": "node_1854", + "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5285834585375, + "fos_buckling": 1.5406473386366046, + "fos_yielding": 2.649383091452347, + "deflection": 0.003959837136801407, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.350)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 268)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 146.84 kg\n Factor of Safety: 0.20\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.84255906051095, + "fos_buckling": 0.19632553733389904, + "fos_yielding": 1.0042214512616492, + "deflection": 0.011876605743392216, + "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 1 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 148.30 kg\n Factor of Safety: 0.19\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": 148.3010892204074, + "fos_buckling": 0.1883948850365602, + "fos_yielding": 1.004105286773858, + "deflection": 0.011677938925243497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.274)" + }, + "parent_node_id": "node_1856", + "improvement_over_parent": null + }, + "node_1858": { + "node_id": "node_1858", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 186.56 kg\n Factor of Safety: 0.23\n Max Deflection: 9.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.55927961234994, + "fos_buckling": 0.2299872172170544, + "fos_yielding": 1.2610882735177946, + "deflection": 0.009297520996366404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_1857", + "improvement_over_parent": null + }, + "node_1859": { + "node_id": "node_1859", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n\nPerformance:\n Mass: 214.19 kg\n Factor of Safety: 0.42\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.188594229884, + "fos_buckling": 0.4150492753949226, + "fos_yielding": 2.1531632052459715, + "deflection": 0.00516646978204016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005041)" + }, + "parent_node_id": "node_1858", + "improvement_over_parent": null + }, + "node_1860": { + "node_id": "node_1860", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n Mass: 222.81 kg\n Factor of Safety: 1.37\n Max Deflection: 4.57e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.8136873648811, + "fos_buckling": 1.3669713977024498, + "fos_yielding": 2.296522632933212, + "deflection": 0.004567555676770727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003125)" + }, + "parent_node_id": "node_1859", + "improvement_over_parent": null + }, + "node_1861": { + "node_id": "node_1861", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.70 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.69686406151817, + "fos_buckling": 1.5411466732356922, + "fos_yielding": 2.6518224641070822, + "deflection": 0.003957217032210737, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1860", + "improvement_over_parent": null + }, + "node_1862": { + "node_id": "node_1862", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1861", + "improvement_over_parent": null + }, + "node_1863": { + "node_id": "node_1863", + "content": "INITIAL DESIGN (Trace 269)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 160.25 kg\n Factor of Safety: 0.03\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": 160.25359573881107, + "fos_buckling": 0.03461370860632675, + "fos_yielding": 0.431068742088618, + "deflection": 0.02418761632151445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1864": { + "node_id": "node_1864", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 206.48 kg\n Factor of Safety: 0.04\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": 206.47920052234383, + "fos_buckling": 0.0430487278101329, + "fos_yielding": 0.5540972731717492, + "deflection": 0.018824299214735718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_1863", + "improvement_over_parent": null + }, + "node_1865": { + "node_id": "node_1865", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 207.75 kg\n Factor of Safety: 0.04\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": 207.7542790884619, + "fos_buckling": 0.0430461226001755, + "fos_yielding": 0.5540637404796844, + "deflection": 0.018812974546812255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.235)" + }, + "parent_node_id": "node_1864", + "improvement_over_parent": null + }, + "node_1866": { + "node_id": "node_1866", + "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 209.65 kg\n Factor of Safety: 0.04\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.65016671732764, + "fos_buckling": 0.04304612260017549, + "fos_yielding": 0.5540637404796843, + "deflection": 0.01879856867697554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.280)" + }, + "parent_node_id": "node_1865", + "improvement_over_parent": null + }, + "node_1867": { + "node_id": "node_1867", + "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 211.73 kg\n Factor of Safety: 0.04\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.72542562987226, + "fos_buckling": 0.04304188315508792, + "fos_yielding": 0.5540091728981951, + "deflection": 0.0187063472283827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.395)" + }, + "parent_node_id": "node_1866", + "improvement_over_parent": null + }, + "node_1868": { + "node_id": "node_1868", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.96 kg\n Factor of Safety: 0.05\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": 247.9626061201282, + "fos_buckling": 0.04903876737493599, + "fos_yielding": 0.6478310511056135, + "deflection": 0.01600350362452746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_1867", + "improvement_over_parent": null + }, + "node_1869": { + "node_id": "node_1869", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52574709934805, + "fos_buckling": 1.540773574417993, + "fos_yielding": 2.6493175612753697, + "deflection": 0.003959809795809651, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_1868", + "improvement_over_parent": null + }, + "node_1870": { + "node_id": "node_1870", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1869", + "improvement_over_parent": null + }, + "node_1871": { + "node_id": "node_1871", + "content": "INITIAL DESIGN (Trace 270)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 198.01 kg\n Factor of Safety: 1.01\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.00707348749634, + "fos_buckling": 1.0076181197705463, + "fos_yielding": 1.9623807254697803, + "deflection": 0.005442385222643416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1872": { + "node_id": "node_1872", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 235.72 kg\n Factor of Safety: 1.16\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.72473750982775, + "fos_buckling": 1.163832687637287, + "fos_yielding": 2.337448571705734, + "deflection": 0.004580633625765438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1871", + "improvement_over_parent": null + }, + "node_1873": { + "node_id": "node_1873", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n Mass: 249.12 kg\n Factor of Safety: 1.29\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.11625504699632, + "fos_buckling": 1.293491757878189, + "fos_yielding": 2.423471231947659, + "deflection": 0.004105147211428545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003113)" + }, + "parent_node_id": "node_1872", + "improvement_over_parent": null + }, + "node_1874": { + "node_id": "node_1874", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n Mass: 250.59 kg\n Factor of Safety: 1.29\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.5887769627627, + "fos_buckling": 1.291463439790087, + "fos_yielding": 2.6587872746796535, + "deflection": 0.004032888127308716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.200)" + }, + "parent_node_id": "node_1873", + "improvement_over_parent": null + }, + "node_1875": { + "node_id": "node_1875", + "content": "MODIFICATION: Increase 14 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0057)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n Mass: 256.14 kg\n Factor of Safety: 1.29\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.14288976293, + "fos_buckling": 1.2933526775843094, + "fos_yielding": 2.637010134538389, + "deflection": 0.003981663588776514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.466)" + }, + "parent_node_id": "node_1874", + "improvement_over_parent": null + }, + "node_1876": { + "node_id": "node_1876", + "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0057)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n Mass: 257.42 kg\n Factor of Safety: 1.49\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.42088853144855, + "fos_buckling": 1.4906220205132137, + "fos_yielding": 2.6377186184076487, + "deflection": 0.003958833017373421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.408)" + }, + "parent_node_id": "node_1875", + "improvement_over_parent": null + }, + "node_1877": { + "node_id": "node_1877", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1876", + "improvement_over_parent": null + }, + "node_1878": { + "node_id": "node_1878", + "content": "INITIAL DESIGN (Trace 271)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 157.18 kg\n Factor of Safety: 0.68\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.17616602095902, + "fos_buckling": 0.676933737823903, + "fos_yielding": 1.8758396806092625, + "deflection": 0.006433817408623325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1879": { + "node_id": "node_1879", + "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 158.19 kg\n Factor of Safety: 0.68\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.19407273760442, + "fos_buckling": 0.676874592278265, + "fos_yielding": 1.8757848292722012, + "deflection": 0.006434087328937725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.486)" + }, + "parent_node_id": "node_1878", + "improvement_over_parent": null + }, + "node_1880": { + "node_id": "node_1880", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n Mass: 170.55 kg\n Factor of Safety: 0.85\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.55167122043972, + "fos_buckling": 0.8467791037433224, + "fos_yielding": 1.8751191784452599, + "deflection": 0.00556278524053226, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002955)" + }, + "parent_node_id": "node_1879", + "improvement_over_parent": null + }, + "node_1881": { + "node_id": "node_1881", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n Mass: 175.06 kg\n Factor of Safety: 1.02\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.05904707562607, + "fos_buckling": 1.024395245413984, + "fos_yielding": 1.817012464916539, + "deflection": 0.0057040528104812475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001785)" + }, + "parent_node_id": "node_1880", + "improvement_over_parent": null + }, + "node_1882": { + "node_id": "node_1882", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n Mass: 221.05 kg\n Factor of Safety: 1.27\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.0481906749981, + "fos_buckling": 1.2688337938092373, + "fos_yielding": 2.289524453598774, + "deflection": 0.004530479391652647, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1881", + "improvement_over_parent": null + }, + "node_1883": { + "node_id": "node_1883", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 255.27 kg\n Factor of Safety: 1.44\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.27430774071448, + "fos_buckling": 1.4437853966346188, + "fos_yielding": 2.6398801709204327, + "deflection": 0.003931568935306514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1882", + "improvement_over_parent": null + }, + "node_1884": { + "node_id": "node_1884", + "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.93 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.92787436339233, + "fos_buckling": 1.542758360979791, + "fos_yielding": 2.653414781351014, + "deflection": 0.003953892540999375, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.560)" + }, + "parent_node_id": "node_1883", + "improvement_over_parent": null + }, + "node_1885": { + "node_id": "node_1885", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1884", + "improvement_over_parent": null + }, + "node_1886": { + "node_id": "node_1886", + "content": "INITIAL DESIGN (Trace 272)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 210.90 kg\n Factor of Safety: 0.40\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": 210.90159145037921, + "fos_buckling": 0.3968182593267218, + "fos_yielding": 1.2347365081427408, + "deflection": 0.013107373822391608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1887": { + "node_id": "node_1887", + "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 211.88 kg\n Factor of Safety: 0.40\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": 211.8806817082349, + "fos_buckling": 0.3968071257552545, + "fos_yielding": 1.25871137411905, + "deflection": 0.013027642467148336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.348)" + }, + "parent_node_id": "node_1886", + "improvement_over_parent": null + }, + "node_1888": { + "node_id": "node_1888", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 219.23 kg\n Factor of Safety: 1.35\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.23214720522077, + "fos_buckling": 1.3489343930347109, + "fos_yielding": 2.2593221150685605, + "deflection": 0.004641444181376762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003374)" + }, + "parent_node_id": "node_1887", + "improvement_over_parent": null + }, + "node_1889": { + "node_id": "node_1889", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.55 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.55295456099105, + "fos_buckling": 1.5409369898129899, + "fos_yielding": 2.6496018455579615, + "deflection": 0.00395958722936354, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1888", + "improvement_over_parent": null + }, + "node_1890": { + "node_id": "node_1890", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1889", + "improvement_over_parent": null + }, + "node_1891": { + "node_id": "node_1891", + "content": "INITIAL DESIGN (Trace 273)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 225.58 kg\n Factor of Safety: 0.59\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.5799724062364, + "fos_buckling": 0.587327190439303, + "fos_yielding": 2.2756444181510567, + "deflection": 0.0050378463917466415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1892": { + "node_id": "node_1892", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 226.66 kg\n Factor of Safety: 0.59\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.6593297959166, + "fos_buckling": 0.5873088263752773, + "fos_yielding": 2.275574049589964, + "deflection": 0.00502140378227438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.302)" + }, + "parent_node_id": "node_1891", + "improvement_over_parent": null + }, + "node_1893": { + "node_id": "node_1893", + "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 227.66 kg\n Factor of Safety: 0.59\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.65809040724568, + "fos_buckling": 0.587325819135196, + "fos_yielding": 2.2755089394016013, + "deflection": 0.00501486674750586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.295)" + }, + "parent_node_id": "node_1892", + "improvement_over_parent": null + }, + "node_1894": { + "node_id": "node_1894", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 234.22 kg\n Factor of Safety: 0.67\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.2168785953953, + "fos_buckling": 0.6711595401133238, + "fos_yielding": 2.274226977141125, + "deflection": 0.005142331477365737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_1893", + "improvement_over_parent": null + }, + "node_1895": { + "node_id": "node_1895", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 255.17 kg\n Factor of Safety: 1.47\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.1730626022109, + "fos_buckling": 1.4692621030696216, + "fos_yielding": 2.653726028661821, + "deflection": 0.0039840438540473385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_1894", + "improvement_over_parent": null + }, + "node_1896": { + "node_id": "node_1896", + "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5249146196627, + "fos_buckling": 1.540788001485678, + "fos_yielding": 2.649379214772621, + "deflection": 0.003959940570838235, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.284)" + }, + "parent_node_id": "node_1895", + "improvement_over_parent": null + }, + "node_1897": { + "node_id": "node_1897", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1896", + "improvement_over_parent": null + }, + "node_1898": { + "node_id": "node_1898", + "content": "INITIAL DESIGN (Trace 274)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 169.56 kg\n Factor of Safety: 0.52\n Max Deflection: 5.59e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.5628828142568, + "fos_buckling": 0.5175316386687124, + "fos_yielding": 1.7454088091250117, + "deflection": 0.005590594972565213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1899": { + "node_id": "node_1899", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n\nPerformance:\n Mass: 173.13 kg\n Factor of Safety: 1.02\n Max Deflection: 5.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.1283113488185, + "fos_buckling": 1.0237011593202672, + "fos_yielding": 1.7968320316080946, + "deflection": 0.005771564978882254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001404)" + }, + "parent_node_id": "node_1898", + "improvement_over_parent": null + }, + "node_1900": { + "node_id": "node_1900", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n\nPerformance:\n Mass: 223.69 kg\n Factor of Safety: 1.29\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.68632770737347, + "fos_buckling": 1.294893643676682, + "fos_yielding": 2.3161750444295013, + "deflection": 0.004481326491249525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_1899", + "improvement_over_parent": null + }, + "node_1901": { + "node_id": "node_1901", + "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0048)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n\nPerformance:\n Mass: 227.71 kg\n Factor of Safety: 1.28\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.71199191392301, + "fos_buckling": 1.2779951373838119, + "fos_yielding": 2.3297341185543234, + "deflection": 0.004425148052548249, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.522)" + }, + "parent_node_id": "node_1900", + "improvement_over_parent": null + }, + "node_1902": { + "node_id": "node_1902", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0056)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n Mass: 259.34 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.34448994758964, + "fos_buckling": 1.443253730110195, + "fos_yielding": 2.650239314980002, + "deflection": 0.003892661495961857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_1901", + "improvement_over_parent": null + }, + "node_1903": { + "node_id": "node_1903", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1902", + "improvement_over_parent": null + }, + "node_1904": { + "node_id": "node_1904", + "content": "INITIAL DESIGN (Trace 275)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 135.40 kg\n Factor of Safety: 0.59\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.3976274295332, + "fos_buckling": 0.5929418823016975, + "fos_yielding": 1.4523027896757887, + "deflection": 0.006653719398221162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1905": { + "node_id": "node_1905", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n\nPerformance:\n Mass: 146.31 kg\n Factor of Safety: 0.85\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.31146571871102, + "fos_buckling": 0.8466448428511804, + "fos_yielding": 1.6493101692131953, + "deflection": 0.006061332680849856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002587)" + }, + "parent_node_id": "node_1904", + "improvement_over_parent": null + }, + "node_1906": { + "node_id": "node_1906", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n\nPerformance:\n Mass: 151.05 kg\n Factor of Safety: 0.94\n Max Deflection: 6.44e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.05371485312764, + "fos_buckling": 0.9385853455223665, + "fos_yielding": 1.65275769631895, + "deflection": 0.006435755236003689, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001892)" + }, + "parent_node_id": "node_1905", + "improvement_over_parent": null + }, + "node_1907": { + "node_id": "node_1907", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n\nPerformance:\n Mass: 185.72 kg\n Factor of Safety: 1.13\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.71978337395564, + "fos_buckling": 1.1273437091390432, + "fos_yielding": 2.0282858707317493, + "deflection": 0.005245643419197379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1906", + "improvement_over_parent": null + }, + "node_1908": { + "node_id": "node_1908", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n\nPerformance:\n Mass: 190.60 kg\n Factor of Safety: 1.20\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.60057501021006, + "fos_buckling": 1.2019736144704205, + "fos_yielding": 1.9768723081130515, + "deflection": 0.005342055278853044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001943)" + }, + "parent_node_id": "node_1907", + "improvement_over_parent": null + }, + "node_1909": { + "node_id": "node_1909", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n Mass: 224.92 kg\n Factor of Safety: 1.38\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.9210703862659, + "fos_buckling": 1.3836905194063613, + "fos_yielding": 2.3290418244605924, + "deflection": 0.004535739361231399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1908", + "improvement_over_parent": null + }, + "node_1910": { + "node_id": "node_1910", + "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n Mass: 226.01 kg\n Factor of Safety: 1.38\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.0056402807528, + "fos_buckling": 1.3838111708699352, + "fos_yielding": 2.328377617674301, + "deflection": 0.004504162134153965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.309)" + }, + "parent_node_id": "node_1909", + "improvement_over_parent": null + }, + "node_1911": { + "node_id": "node_1911", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.28 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.2761403983729, + "fos_buckling": 1.5395959387349887, + "fos_yielding": 2.6467552387157802, + "deflection": 0.003963840633659858, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1910", + "improvement_over_parent": null + }, + "node_1912": { + "node_id": "node_1912", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1911", + "improvement_over_parent": null + }, + "node_1913": { + "node_id": "node_1913", + "content": "INITIAL DESIGN (Trace 276)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 224.92 kg\n Factor of Safety: 1.20\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.92286729548883, + "fos_buckling": 1.1952467017574337, + "fos_yielding": 2.386222959985475, + "deflection": 0.004535106666585848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1914": { + "node_id": "node_1914", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.60 kg\n Factor of Safety: 1.33\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.60098943765007, + "fos_buckling": 1.3251424142101926, + "fos_yielding": 2.6757626058458968, + "deflection": 0.004044328161539406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_1913", + "improvement_over_parent": null + }, + "node_1915": { + "node_id": "node_1915", + "content": "MODIFICATION: Increase 15 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.98e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.6035259714422, + "fos_buckling": 1.540140109909655, + "fos_yielding": 2.64858370740304, + "deflection": 0.003978265397765341, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.451)" + }, + "parent_node_id": "node_1914", + "improvement_over_parent": null + }, + "node_1916": { + "node_id": "node_1916", + "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.40 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.39818181897306, + "fos_buckling": 1.540216376012777, + "fos_yielding": 2.6481282920851457, + "deflection": 0.003961891994866494, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.183)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 277)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 167.45 kg\n Factor of Safety: 0.22\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.44776362891736, + "fos_buckling": 0.2193755007987103, + "fos_yielding": 1.1816762185355758, + "deflection": 0.010001126468054516, + "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: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 175.53 kg\n Factor of Safety: 0.22\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.52692010942062, + "fos_buckling": 0.2241913233800166, + "fos_yielding": 1.1810713925243748, + "deflection": 0.010099997311272856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002912)" + }, + "parent_node_id": "node_1918", + "improvement_over_parent": null + }, + "node_1920": { + "node_id": "node_1920", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 216.89 kg\n Factor of Safety: 0.27\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.89013044659978, + "fos_buckling": 0.26750027324218345, + "fos_yielding": 1.4559009584345912, + "deflection": 0.008191462728816937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_1919", + "improvement_over_parent": null + }, + "node_1921": { + "node_id": "node_1921", + "content": "MODIFICATION: Increase 19 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0059)]\n\nPerformance:\n Mass: 222.01 kg\n Factor of Safety: 0.27\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.00528269377082, + "fos_buckling": 0.2661285315396912, + "fos_yielding": 1.4554301767930848, + "deflection": 0.008201654615690238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.600)" + }, + "parent_node_id": "node_1920", + "improvement_over_parent": null + }, + "node_1922": { + "node_id": "node_1922", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0059)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 253.96 kg\n Factor of Safety: 1.21\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.95522506750834, + "fos_buckling": 1.2056233249631723, + "fos_yielding": 2.67089083543728, + "deflection": 0.004021641410831218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_1921", + "improvement_over_parent": null + }, + "node_1923": { + "node_id": "node_1923", + "content": "MODIFICATION: Increase 11 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0059)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 256.52 kg\n Factor of Safety: 1.24\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.5243912133808, + "fos_buckling": 1.238882975401884, + "fos_yielding": 2.6714754475216425, + "deflection": 0.003994700414527444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.269)" + }, + "parent_node_id": "node_1922", + "improvement_over_parent": null + }, + "node_1924": { + "node_id": "node_1924", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1923", + "improvement_over_parent": null + }, + "node_1925": { + "node_id": "node_1925", + "content": "INITIAL DESIGN (Trace 278)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 171.68 kg\n Factor of Safety: 0.78\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.68259946494686, + "fos_buckling": 0.7829287608495864, + "fos_yielding": 1.9907230345516755, + "deflection": 0.006308860229787782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1926": { + "node_id": "node_1926", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 186.67 kg\n Factor of Safety: 0.90\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.66989493489856, + "fos_buckling": 0.8955439422492043, + "fos_yielding": 2.022552695485096, + "deflection": 0.006011134989286867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003627)" + }, + "parent_node_id": "node_1925", + "improvement_over_parent": null + }, + "node_1927": { + "node_id": "node_1927", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 224.74 kg\n Factor of Safety: 1.05\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.7438691962083, + "fos_buckling": 1.0452317262598099, + "fos_yielding": 2.4312433978570644, + "deflection": 0.0050041213784028805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_1926", + "improvement_over_parent": null + }, + "node_1928": { + "node_id": "node_1928", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 238.49 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.4933376623957, + "fos_buckling": 1.163721425223544, + "fos_yielding": 2.4286030492287143, + "deflection": 0.00447848752182466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_1927", + "improvement_over_parent": null + }, + "node_1929": { + "node_id": "node_1929", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.58 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5830814372032, + "fos_buckling": 1.5410968911143905, + "fos_yielding": 2.6500047659329775, + "deflection": 0.003959051899514653, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_1928", + "improvement_over_parent": null + }, + "node_1930": { + "node_id": "node_1930", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1929", + "improvement_over_parent": null + }, + "node_1931": { + "node_id": "node_1931", + "content": "INITIAL DESIGN (Trace 279)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 221.14 kg\n Factor of Safety: 0.66\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.1425531027688, + "fos_buckling": 0.6565456176813149, + "fos_yielding": 1.9169797475919972, + "deflection": 0.0056269545242324265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1932": { + "node_id": "node_1932", + "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 223.07 kg\n Factor of Safety: 0.66\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.06923841403872, + "fos_buckling": 0.6566698491613185, + "fos_yielding": 2.2755393908660033, + "deflection": 0.005467695156408895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.580)" + }, + "parent_node_id": "node_1931", + "improvement_over_parent": null + }, + "node_1933": { + "node_id": "node_1933", + "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 229.92 kg\n Factor of Safety: 0.67\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.9247712759292, + "fos_buckling": 0.6736804539576402, + "fos_yielding": 2.275092560507901, + "deflection": 0.005374968684075408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.300)" + }, + "parent_node_id": "node_1932", + "improvement_over_parent": null + }, + "node_1934": { + "node_id": "node_1934", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 236.57 kg\n Factor of Safety: 0.67\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.56737150474854, + "fos_buckling": 0.6738385526974103, + "fos_yielding": 2.2742271562055865, + "deflection": 0.00511585509067783, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_1933", + "improvement_over_parent": null + }, + "node_1935": { + "node_id": "node_1935", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52355551156415, + "fos_buckling": 1.5405395863549964, + "fos_yielding": 2.649356916293941, + "deflection": 0.003959974736070495, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_1934", + "improvement_over_parent": null + }, + "node_1936": { + "node_id": "node_1936", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1935", + "improvement_over_parent": null + }, + "node_1937": { + "node_id": "node_1937", + "content": "INITIAL DESIGN (Trace 280)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 182.75 kg\n Factor of Safety: 0.20\n Max Deflection: 7.28e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.74634852362, + "fos_buckling": 0.20109650863477913, + "fos_yielding": 0.6295486994642479, + "deflection": 7279618168211.701, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1938": { + "node_id": "node_1938", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 196.50 kg\n Factor of Safety: 1.36\n Max Deflection: 4.17e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.4958169898074, + "fos_buckling": 1.3565679090079898, + "fos_yielding": 3.6794927536548423, + "deflection": 4174686924120.2266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_1937", + "improvement_over_parent": null + }, + "node_1939": { + "node_id": "node_1939", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 217.75 kg\n Factor of Safety: 0.91\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.75094307169954, + "fos_buckling": 0.9121286375986115, + "fos_yielding": 1.8028850271735082, + "deflection": 0.005431653141998872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_1938", + "improvement_over_parent": null + }, + "node_1940": { + "node_id": "node_1940", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 235.79 kg\n Factor of Safety: 0.93\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.7934792744472, + "fos_buckling": 0.927111380260183, + "fos_yielding": 2.5984040722072055, + "deflection": 0.004689781962071747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_1939", + "improvement_over_parent": null + }, + "node_1941": { + "node_id": "node_1941", + "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 239.55 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.546676148341, + "fos_buckling": 0.926715674283706, + "fos_yielding": 2.6307228344088855, + "deflection": 0.00457712076547639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.661)" + }, + "parent_node_id": "node_1940", + "improvement_over_parent": null + }, + "node_1942": { + "node_id": "node_1942", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53604071500087, + "fos_buckling": 1.540820865033159, + "fos_yielding": 2.6493897419361954, + "deflection": 0.003959818170632451, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_1941", + "improvement_over_parent": null + }, + "node_1943": { + "node_id": "node_1943", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1942", + "improvement_over_parent": null + }, + "node_1944": { + "node_id": "node_1944", + "content": "INITIAL DESIGN (Trace 281)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 173.74 kg\n Factor of Safety: 0.28\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": 173.74095831512855, + "fos_buckling": 0.2803104942556363, + "fos_yielding": 0.9899770636466713, + "deflection": 0.02237754032815008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1945": { + "node_id": "node_1945", + "content": "MODIFICATION: Increase 11 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 177.87 kg\n Factor of Safety: 0.28\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": 177.87415523122, + "fos_buckling": 0.2802773778843992, + "fos_yielding": 0.9898599272426241, + "deflection": 0.022280564449922217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.208)" + }, + "parent_node_id": "node_1944", + "improvement_over_parent": null + }, + "node_1946": { + "node_id": "node_1946", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 223.24 kg\n Factor of Safety: 0.34\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": 223.23773938344038, + "fos_buckling": 0.3381612768592018, + "fos_yielding": 1.2385423696583404, + "deflection": 0.017807378009041204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_1945", + "improvement_over_parent": null + }, + "node_1947": { + "node_id": "node_1947", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n\nPerformance:\n Mass: 239.42 kg\n Factor of Safety: 0.34\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": 239.41832471490181, + "fos_buckling": 0.3380054829201377, + "fos_yielding": 1.2379706711783762, + "deflection": 0.017657644471327262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003813)" + }, + "parent_node_id": "node_1946", + "improvement_over_parent": null + }, + "node_1948": { + "node_id": "node_1948", + "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n\nPerformance:\n Mass: 241.84 kg\n Factor of Safety: 0.34\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.84478047775303, + "fos_buckling": 0.3379354407121055, + "fos_yielding": 1.2377136459503308, + "deflection": 0.017660212290233315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.198)" + }, + "parent_node_id": "node_1947", + "improvement_over_parent": null + }, + "node_1949": { + "node_id": "node_1949", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 250.48 kg\n Factor of Safety: 1.32\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.4816440054066, + "fos_buckling": 1.3166085914953887, + "fos_yielding": 2.629368658720287, + "deflection": 0.004028701103791261, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_1948", + "improvement_over_parent": null + }, + "node_1950": { + "node_id": "node_1950", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.12 kg\n Factor of Safety: 1.52\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.1242442342259, + "fos_buckling": 1.5220712086774655, + "fos_yielding": 2.6433806530848742, + "deflection": 0.003954798766470798, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_1949", + "improvement_over_parent": null + }, + "node_1951": { + "node_id": "node_1951", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1950", + "improvement_over_parent": null + }, + "node_1952": { + "node_id": "node_1952", + "content": "INITIAL DESIGN (Trace 282)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 196.18 kg\n Factor of Safety: 0.37\n Max Deflection: 6.48e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.18437982979725, + "fos_buckling": 0.3744726247145988, + "fos_yielding": 1.259620395913652, + "deflection": 6484955859725.207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1953": { + "node_id": "node_1953", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n Mass: 202.00 kg\n Factor of Safety: 0.21\n Max Deflection: 4.41e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.99651402231459, + "fos_buckling": 0.2068496747614892, + "fos_yielding": 1.4689185603634651, + "deflection": 4411667278436.816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002345)" + }, + "parent_node_id": "node_1952", + "improvement_over_parent": null + }, + "node_1954": { + "node_id": "node_1954", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 228.10 kg\n Factor of Safety: 0.19\n Max Deflection: 6.26e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.09942556945083, + "fos_buckling": 0.19071230123791108, + "fos_yielding": 2.5195651180555054, + "deflection": 6257272114904.322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_1953", + "improvement_over_parent": null + }, + "node_1955": { + "node_id": "node_1955", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 236.74 kg\n Factor of Safety: 0.67\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.7362890971044, + "fos_buckling": 0.6742139575320718, + "fos_yielding": 2.2742227860257698, + "deflection": 0.005112719193592396, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_1954", + "improvement_over_parent": null + }, + "node_1956": { + "node_id": "node_1956", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.69 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.69247310392, + "fos_buckling": 1.5417103048878662, + "fos_yielding": 2.6512267377672964, + "deflection": 0.0039575484120883304, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_1955", + "improvement_over_parent": null + }, + "node_1957": { + "node_id": "node_1957", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1956", + "improvement_over_parent": null + }, + "node_1958": { + "node_id": "node_1958", + "content": "INITIAL DESIGN (Trace 283)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 185.36 kg\n Factor of Safety: 0.39\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": 185.36113237784957, + "fos_buckling": 0.3856944971733677, + "fos_yielding": 1.2172549900435525, + "deflection": 0.013990728634033325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1959": { + "node_id": "node_1959", + "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 186.66 kg\n Factor of Safety: 0.39\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": 186.65535310535975, + "fos_buckling": 0.38563719110323674, + "fos_yielding": 1.21707462393085, + "deflection": 0.01375565235704863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.202)" + }, + "parent_node_id": "node_1958", + "improvement_over_parent": null + }, + "node_1960": { + "node_id": "node_1960", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n Mass: 193.75 kg\n Factor of Safety: 0.69\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.7521465052203, + "fos_buckling": 0.6857133436586095, + "fos_yielding": 2.0732850615249445, + "deflection": 0.005971814193590485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003248)" + }, + "parent_node_id": "node_1959", + "improvement_over_parent": null + }, + "node_1961": { + "node_id": "node_1961", + "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n Mass: 198.86 kg\n Factor of Safety: 0.65\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.85883223830484, + "fos_buckling": 0.6466757034266458, + "fos_yielding": 2.0729814221475973, + "deflection": 0.005945473395800136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.361)" + }, + "parent_node_id": "node_1960", + "improvement_over_parent": null + }, + "node_1962": { + "node_id": "node_1962", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0062)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 241.90 kg\n Factor of Safety: 0.77\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.89990823854689, + "fos_buckling": 0.7655319920228928, + "fos_yielding": 2.516744786550797, + "deflection": 0.004895841142830125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1961", + "improvement_over_parent": null + }, + "node_1963": { + "node_id": "node_1963", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0062)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 255.65 kg\n Factor of Safety: 1.29\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.6493767047343, + "fos_buckling": 1.2860863432690692, + "fos_yielding": 2.6290866067978462, + "deflection": 0.00403608092815748, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_1962", + "improvement_over_parent": null + }, + "node_1964": { + "node_id": "node_1964", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1963", + "improvement_over_parent": null + }, + "node_1965": { + "node_id": "node_1965", + "content": "INITIAL DESIGN (Trace 284)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 138.16 kg\n Factor of Safety: 0.33\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.15663496810845, + "fos_buckling": 0.32566490448824237, + "fos_yielding": 1.2728467174644424, + "deflection": 0.008242598195845179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1966": { + "node_id": "node_1966", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n Mass: 143.46 kg\n Factor of Safety: 0.33\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.4611391483269, + "fos_buckling": 0.32556609315119567, + "fos_yielding": 1.2724605177718296, + "deflection": 0.008315541719065794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002130)" + }, + "parent_node_id": "node_1965", + "improvement_over_parent": null + }, + "node_1967": { + "node_id": "node_1967", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 155.67 kg\n Factor of Safety: 0.32\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.67122656819814, + "fos_buckling": 0.3249986382594486, + "fos_yielding": 1.2702426457005223, + "deflection": 0.008130967477725575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002913)" + }, + "parent_node_id": "node_1966", + "improvement_over_parent": null + }, + "node_1968": { + "node_id": "node_1968", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 170.06 kg\n Factor of Safety: 0.83\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.05663577375728, + "fos_buckling": 0.8346238474083952, + "fos_yielding": 1.5863937097557526, + "deflection": 0.006113872217723906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003162)" + }, + "parent_node_id": "node_1967", + "improvement_over_parent": null + }, + "node_1969": { + "node_id": "node_1969", + "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 171.69 kg\n Factor of Safety: 0.85\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.69234091615849, + "fos_buckling": 0.851791808312304, + "fos_yielding": 1.7987833090659344, + "deflection": 0.005902449405561101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.412)" + }, + "parent_node_id": "node_1968", + "improvement_over_parent": null + }, + "node_1970": { + "node_id": "node_1970", + "content": "MODIFICATION: Increase 12 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0062)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 183.22 kg\n Factor of Safety: 0.85\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.2199417566906, + "fos_buckling": 0.8502349411362794, + "fos_yielding": 1.809105601655206, + "deflection": 0.005700791858230011, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.587)" + }, + "parent_node_id": "node_1969", + "improvement_over_parent": null + }, + "node_1971": { + "node_id": "node_1971", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0077)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 224.37 kg\n Factor of Safety: 1.03\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.36540681485212, + "fos_buckling": 1.0256142613949673, + "fos_yielding": 2.2143439830570464, + "deflection": 0.004661455653617965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_1970", + "improvement_over_parent": null + }, + "node_1972": { + "node_id": "node_1972", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0094)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 269.84 kg\n Factor of Safety: 1.21\n Max Deflection: 3.88e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.84470234015276, + "fos_buckling": 1.2128623556314748, + "fos_yielding": 2.66213013439705, + "deflection": 0.003881160103745849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1971", + "improvement_over_parent": null + }, + "node_1973": { + "node_id": "node_1973", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1972", + "improvement_over_parent": null + }, + "node_1974": { + "node_id": "node_1974", + "content": "INITIAL DESIGN (Trace 285)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n\nPerformance:\n Mass: 147.58 kg\n Factor of Safety: 0.79\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.58167467824086, + "fos_buckling": 0.7880080008995666, + "fos_yielding": 1.6536728013649995, + "deflection": 0.006557870403597167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1975": { + "node_id": "node_1975", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n\nPerformance:\n Mass: 151.55 kg\n Factor of Safety: 0.78\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.55252763959146, + "fos_buckling": 0.784266920388577, + "fos_yielding": 1.6125697715531606, + "deflection": 0.006674264043923915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001561)" + }, + "parent_node_id": "node_1974", + "improvement_over_parent": null + }, + "node_1976": { + "node_id": "node_1976", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n Mass: 194.06 kg\n Factor of Safety: 0.99\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.06050897357187, + "fos_buckling": 0.9853998577329011, + "fos_yielding": 2.060123535180439, + "deflection": 0.005225066520760361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1975", + "improvement_over_parent": null + }, + "node_1977": { + "node_id": "node_1977", + "content": "MODIFICATION: Increase 20 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0031)]\n\nPerformance:\n Mass: 196.47 kg\n Factor of Safety: 0.98\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.472129808948, + "fos_buckling": 0.9844222480394519, + "fos_yielding": 2.050899926505844, + "deflection": 0.005241741670587367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.529)" + }, + "parent_node_id": "node_1976", + "improvement_over_parent": null + }, + "node_1978": { + "node_id": "node_1978", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0041)]\n\nPerformance:\n Mass: 253.56 kg\n Factor of Safety: 1.24\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.56085566808073, + "fos_buckling": 1.2387727709037197, + "fos_yielding": 2.640400078073735, + "deflection": 0.004072318076584604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1977", + "improvement_over_parent": null + }, + "node_1979": { + "node_id": "node_1979", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1978", + "improvement_over_parent": null + }, + "node_1980": { + "node_id": "node_1980", + "content": "INITIAL DESIGN (Trace 286)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n Mass: 118.25 kg\n Factor of Safety: 0.43\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": 118.25100696940682, + "fos_buckling": 0.42841250178707624, + "fos_yielding": 1.1221485883226812, + "deflection": 0.014421175987943357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1981": { + "node_id": "node_1981", + "content": "MODIFICATION: Increase 17 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 119.92 kg\n Factor of Safety: 0.43\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": 119.91626718688079, + "fos_buckling": 0.428412501787076, + "fos_yielding": 1.1220747879916642, + "deflection": 0.014436822767694257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.189)" + }, + "parent_node_id": "node_1980", + "improvement_over_parent": null + }, + "node_1982": { + "node_id": "node_1982", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 157.48 kg\n Factor of Safety: 0.55\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": 157.4796123906884, + "fos_buckling": 0.5468026176546665, + "fos_yielding": 1.4702483299065752, + "deflection": 0.011027549546370441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1981", + "improvement_over_parent": null + }, + "node_1983": { + "node_id": "node_1983", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 188.11 kg\n Factor of Safety: 0.64\n Max Deflection: 9.26e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.11303284980596, + "fos_buckling": 0.637813730928476, + "fos_yielding": 1.7530320006044637, + "deflection": 0.009255187939490048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1982", + "improvement_over_parent": null + }, + "node_1984": { + "node_id": "node_1984", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 194.39 kg\n Factor of Safety: 0.55\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.39106079670333, + "fos_buckling": 0.5484823290918662, + "fos_yielding": 1.9498251244740818, + "deflection": 0.006399850121998403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002550)" + }, + "parent_node_id": "node_1983", + "improvement_over_parent": null + }, + "node_1985": { + "node_id": "node_1985", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 242.55 kg\n Factor of Safety: 0.66\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.55042030792, + "fos_buckling": 0.6636111013459678, + "fos_yielding": 2.4278555397508335, + "deflection": 0.0051416730200664175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1984", + "improvement_over_parent": null + }, + "node_1986": { + "node_id": "node_1986", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 247.55 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.55364691658633, + "fos_buckling": 0.4690576462127851, + "fos_yielding": 2.484316911959441, + "deflection": 0.004477872808510501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_1985", + "improvement_over_parent": null + }, + "node_1987": { + "node_id": "node_1987", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52540031528196, + "fos_buckling": 1.5407479118403193, + "fos_yielding": 2.649244166404008, + "deflection": 0.003959917705831008, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_1986", + "improvement_over_parent": null + }, + "node_1988": { + "node_id": "node_1988", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1987", + "improvement_over_parent": null + }, + "node_1989": { + "node_id": "node_1989", + "content": "INITIAL DESIGN (Trace 287)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\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_1990": { + "node_id": "node_1990", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 187.49 kg\n Factor of Safety: 0.80\n Max Deflection: 6.41e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.4872295368998, + "fos_buckling": 0.798796392535047, + "fos_yielding": 1.6630997949852186, + "deflection": 0.006408314434113784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003744)" + }, + "parent_node_id": "node_1989", + "improvement_over_parent": null + }, + "node_1991": { + "node_id": "node_1991", + "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 190.01 kg\n Factor of Safety: 0.80\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.00866856362, + "fos_buckling": 0.798509019918308, + "fos_yielding": 2.027336354053535, + "deflection": 0.006126449311116835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.580)" + }, + "parent_node_id": "node_1990", + "improvement_over_parent": null + }, + "node_1992": { + "node_id": "node_1992", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n\nPerformance:\n Mass: 193.89 kg\n Factor of Safety: 0.80\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.88525518922904, + "fos_buckling": 0.7982441105703795, + "fos_yielding": 2.0267146410630485, + "deflection": 0.00611732978580566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001522)" + }, + "parent_node_id": "node_1991", + "improvement_over_parent": null + }, + "node_1993": { + "node_id": "node_1993", + "content": "MODIFICATION: Increase 15 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0057)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n\nPerformance:\n Mass: 200.80 kg\n Factor of Safety: 0.80\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.80298749084352, + "fos_buckling": 0.7974572679313358, + "fos_yielding": 2.0260493990439334, + "deflection": 0.006059915889999986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.443)" + }, + "parent_node_id": "node_1992", + "improvement_over_parent": null + }, + "node_1994": { + "node_id": "node_1994", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0057)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 215.80 kg\n Factor of Safety: 1.00\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.7985266085264, + "fos_buckling": 0.9997943304496093, + "fos_yielding": 2.025568989988233, + "deflection": 0.005278911406357529, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003635)" + }, + "parent_node_id": "node_1993", + "improvement_over_parent": null + }, + "node_1995": { + "node_id": "node_1995", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0057)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 219.97 kg\n Factor of Safety: 1.32\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.96826786916046, + "fos_buckling": 1.3217090708270522, + "fos_yielding": 2.225133180590079, + "deflection": 0.004636077304608299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002510)" + }, + "parent_node_id": "node_1994", + "improvement_over_parent": null + }, + "node_1996": { + "node_id": "node_1996", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 263.82 kg\n Factor of Safety: 1.54\n Max Deflection: 3.87e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 263.81945718665366, + "fos_buckling": 1.5374988748237945, + "fos_yielding": 2.665058603191592, + "deflection": 0.0038744557964516518, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 288)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 178.83 kg\n Factor of Safety: 0.95\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.8310007345663, + "fos_buckling": 0.9507430837553322, + "fos_yielding": 2.00234655528977, + "deflection": 0.005374139320532908, + "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 all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 205.56 kg\n Factor of Safety: 1.08\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.55527172687212, + "fos_buckling": 1.0800065694437786, + "fos_yielding": 2.2978914899753793, + "deflection": 0.004683300394022193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_1998", + "improvement_over_parent": null + }, + "node_2000": { + "node_id": "node_2000", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n\nPerformance:\n Mass: 211.09 kg\n Factor of Safety: 1.24\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.0876033989468, + "fos_buckling": 1.2449665361269084, + "fos_yielding": 2.229550263870209, + "deflection": 0.004779681074995583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002223)" + }, + "parent_node_id": "node_1999", + "improvement_over_parent": null + }, + "node_2001": { + "node_id": "node_2001", + "content": "MODIFICATION: Increase 17 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0054)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n\nPerformance:\n Mass: 216.62 kg\n Factor of Safety: 1.33\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.62003253972154, + "fos_buckling": 1.3320400948123927, + "fos_yielding": 2.2343678217358853, + "deflection": 0.0046912854131294784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.348)" + }, + "parent_node_id": "node_2000", + "improvement_over_parent": null + }, + "node_2002": { + "node_id": "node_2002", + "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0054)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n\nPerformance:\n Mass: 218.97 kg\n Factor of Safety: 1.34\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.96866553546403, + "fos_buckling": 1.3359353780154424, + "fos_yielding": 2.246736256863919, + "deflection": 0.004644580677825137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.418)" + }, + "parent_node_id": "node_2001", + "improvement_over_parent": null + }, + "node_2003": { + "node_id": "node_2003", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0065)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 259.73 kg\n Factor of Safety: 1.54\n Max Deflection: 3.92e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 259.7299193984213, + "fos_buckling": 1.5390453367222352, + "fos_yielding": 2.6608739549042455, + "deflection": 0.003924399068030109, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_2002", + "improvement_over_parent": null + }, + "node_2004": { + "node_id": "node_2004", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2003", + "improvement_over_parent": null + }, + "node_2005": { + "node_id": "node_2005", + "content": "INITIAL DESIGN (Trace 289)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 197.52 kg\n Factor of Safety: 0.41\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.51924169414036, + "fos_buckling": 0.41387879629017776, + "fos_yielding": 2.0447787036716867, + "deflection": 0.005486366403898753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2006": { + "node_id": "node_2006", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 205.68 kg\n Factor of Safety: 1.27\n Max Deflection: 4.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.6782353287311, + "fos_buckling": 1.2667939964437047, + "fos_yielding": 2.1796097288371232, + "deflection": 0.004889868010838912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002943)" + }, + "parent_node_id": "node_2005", + "improvement_over_parent": null + }, + "node_2007": { + "node_id": "node_2007", + "content": "MODIFICATION: Increase 17 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0051)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 210.73 kg\n Factor of Safety: 1.28\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.73483259765993, + "fos_buckling": 1.281697096083999, + "fos_yielding": 2.1829710484910105, + "deflection": 0.004810029308860178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.326)" + }, + "parent_node_id": "node_2006", + "improvement_over_parent": null + }, + "node_2008": { + "node_id": "node_2008", + "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0051)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 212.31 kg\n Factor of Safety: 1.30\n Max Deflection: 4.79e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.3126570232152, + "fos_buckling": 1.3023820419001646, + "fos_yielding": 2.180152628915397, + "deflection": 0.004787044089800627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.218)" + }, + "parent_node_id": "node_2007", + "improvement_over_parent": null + }, + "node_2009": { + "node_id": "node_2009", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 259.38 kg\n Factor of Safety: 1.54\n Max Deflection: 3.93e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 259.3812891981881, + "fos_buckling": 1.5383994459441948, + "fos_yielding": 2.6586360000783573, + "deflection": 0.003928555059388412, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_2008", + "improvement_over_parent": null + }, + "node_2010": { + "node_id": "node_2010", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2009", + "improvement_over_parent": null + }, + "node_2011": { + "node_id": "node_2011", + "content": "INITIAL DESIGN (Trace 290)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0014)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 131.89 kg\n Factor of Safety: 0.03\n Max Deflection: 2.97e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.8860797072833, + "fos_buckling": 0.02930819291771169, + "fos_yielding": 0.3581290772031338, + "deflection": 0.029725656739435644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2012": { + "node_id": "node_2012", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 168.75 kg\n Factor of Safety: 0.04\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": 168.74560475801786, + "fos_buckling": 0.036473857912029554, + "fos_yielding": 0.4574123831974918, + "deflection": 0.023280569134404298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2011", + "improvement_over_parent": null + }, + "node_2013": { + "node_id": "node_2013", + "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 171.20 kg\n Factor of Safety: 0.04\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": 171.20010577259572, + "fos_buckling": 0.036473857912029686, + "fos_yielding": 0.4574123831974935, + "deflection": 0.02307095451655003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.466)" + }, + "parent_node_id": "node_2012", + "improvement_over_parent": null + }, + "node_2014": { + "node_id": "node_2014", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n\nPerformance:\n Mass: 177.93 kg\n Factor of Safety: 0.69\n Max Deflection: 6.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.9298700052823, + "fos_buckling": 0.6903499543389867, + "fos_yielding": 1.8573358293810236, + "deflection": 0.006479268878822319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002895)" + }, + "parent_node_id": "node_2013", + "improvement_over_parent": null + }, + "node_2015": { + "node_id": "node_2015", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n Mass: 202.44 kg\n Factor of Safety: 0.77\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.4357215168877, + "fos_buckling": 0.7709059682345423, + "fos_yielding": 2.110742115542312, + "deflection": 0.005703250599678559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2014", + "improvement_over_parent": null + }, + "node_2016": { + "node_id": "node_2016", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n Mass: 206.21 kg\n Factor of Safety: 1.28\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.21225708031895, + "fos_buckling": 1.2807686028810705, + "fos_yielding": 2.126446145353967, + "deflection": 0.004930795255961671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002334)" + }, + "parent_node_id": "node_2015", + "improvement_over_parent": null + }, + "node_2017": { + "node_id": "node_2017", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.67 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6730692345031, + "fos_buckling": 1.5415287217197873, + "fos_yielding": 2.6508678656029767, + "deflection": 0.0039577728758309165, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_2016", + "improvement_over_parent": null + }, + "node_2018": { + "node_id": "node_2018", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2017", + "improvement_over_parent": null + }, + "node_2019": { + "node_id": "node_2019", + "content": "INITIAL DESIGN (Trace 291)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 219.65 kg\n Factor of Safety: 1.05\n Max Deflection: 4.61e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.65222253897164, + "fos_buckling": 1.0498175187092034, + "fos_yielding": 2.406987607309141, + "deflection": 0.004611244787368774, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2020": { + "node_id": "node_2020", + "content": "MODIFICATION: Increase 17 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 223.09 kg\n Factor of Safety: 1.07\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.08776251521712, + "fos_buckling": 1.0670948247186014, + "fos_yielding": 2.402700851671976, + "deflection": 0.004579604119590903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.294)" + }, + "parent_node_id": "node_2019", + "improvement_over_parent": null + }, + "node_2021": { + "node_id": "node_2021", + "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 224.13 kg\n Factor of Safety: 1.07\n Max Deflection: 4.56e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.12500960123566, + "fos_buckling": 1.0673375515353805, + "fos_yielding": 2.4001179599135702, + "deflection": 0.004561749313972256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.328)" + }, + "parent_node_id": "node_2020", + "improvement_over_parent": null + }, + "node_2022": { + "node_id": "node_2022", + "content": "MODIFICATION: Increase 15 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 228.50 kg\n Factor of Safety: 1.07\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.49971419956472, + "fos_buckling": 1.0703783412566907, + "fos_yielding": 2.368263911414453, + "deflection": 0.004464197502526162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.600)" + }, + "parent_node_id": "node_2021", + "improvement_over_parent": null + }, + "node_2023": { + "node_id": "node_2023", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.75 kg\n Factor of Safety: 1.19\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.75430478834983, + "fos_buckling": 1.1855693919383907, + "fos_yielding": 2.647315571978274, + "deflection": 0.003994585859265265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2022", + "improvement_over_parent": null + }, + "node_2024": { + "node_id": "node_2024", + "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.41 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.413735533279, + "fos_buckling": 1.5402675885191288, + "fos_yielding": 2.648284581236278, + "deflection": 0.003961627831869766, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.595)" + }, + "parent_node_id": "node_2023", + "improvement_over_parent": null + }, + "node_2025": { + "node_id": "node_2025", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2024", + "improvement_over_parent": null + }, + "node_2026": { + "node_id": "node_2026", + "content": "INITIAL DESIGN (Trace 292)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 172.48 kg\n Factor of Safety: 0.04\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": 172.48188557495718, + "fos_buckling": 0.03763814849290337, + "fos_yielding": 0.4740936367981878, + "deflection": 0.023770127591111394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2027": { + "node_id": "node_2027", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 206.63 kg\n Factor of Safety: 0.04\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": 206.6288388014017, + "fos_buckling": 0.04389596362769758, + "fos_yielding": 0.566972058638564, + "deflection": 0.019864779570300747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_2026", + "improvement_over_parent": null + }, + "node_2028": { + "node_id": "node_2028", + "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 209.36 kg\n Factor of Safety: 0.04\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": 209.36392327846497, + "fos_buckling": 0.0438902653465217, + "fos_yielding": 0.5668984581080827, + "deflection": 0.01975466792846174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.570)" + }, + "parent_node_id": "node_2027", + "improvement_over_parent": null + }, + "node_2029": { + "node_id": "node_2029", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.88 kg\n Factor of Safety: 0.05\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": 239.8840609136412, + "fos_buckling": 0.04909008730395363, + "fos_yielding": 0.6486087108113842, + "deflection": 0.017258039553206584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2028", + "improvement_over_parent": null + }, + "node_2030": { + "node_id": "node_2030", + "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.45 kg\n Factor of Safety: 0.05\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": 243.44977674880735, + "fos_buckling": 0.04907626271495215, + "fos_yielding": 0.6484260517585649, + "deflection": 0.016288086746535323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.577)" + }, + "parent_node_id": "node_2029", + "improvement_over_parent": null + }, + "node_2031": { + "node_id": "node_2031", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 253.01 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.01291772802716, + "fos_buckling": 0.9262825736505446, + "fos_yielding": 2.6314913742594537, + "deflection": 0.004577166013874232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_2030", + "improvement_over_parent": null + }, + "node_2032": { + "node_id": "node_2032", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.73 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7297369773887, + "fos_buckling": 1.5418805119907673, + "fos_yielding": 2.651036160427738, + "deflection": 0.003957166458007706, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_2031", + "improvement_over_parent": null + }, + "node_2033": { + "node_id": "node_2033", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2032", + "improvement_over_parent": null + }, + "node_2034": { + "node_id": "node_2034", + "content": "INITIAL DESIGN (Trace 293)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 168.38 kg\n Factor of Safety: 0.95\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.3801835644438, + "fos_buckling": 0.9462343154598718, + "fos_yielding": 1.80213966805097, + "deflection": 0.005999890962480174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2035": { + "node_id": "node_2035", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 209.68 kg\n Factor of Safety: 1.15\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.67721641911584, + "fos_buckling": 1.151834431209415, + "fos_yielding": 2.238841858484481, + "deflection": 0.0048294784678288, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2034", + "improvement_over_parent": null + }, + "node_2036": { + "node_id": "node_2036", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 248.36 kg\n Factor of Safety: 1.34\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.36388562557102, + "fos_buckling": 1.3350194205050245, + "fos_yielding": 2.645995598968818, + "deflection": 0.004086151006607543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_2035", + "improvement_over_parent": null + }, + "node_2037": { + "node_id": "node_2037", + "content": "MODIFICATION: Increase 20 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 253.12 kg\n Factor of Safety: 1.37\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.1155769461934, + "fos_buckling": 1.371535610830909, + "fos_yielding": 2.644266212808901, + "deflection": 0.004022986158370432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.316)" + }, + "parent_node_id": "node_2036", + "improvement_over_parent": null + }, + "node_2038": { + "node_id": "node_2038", + "content": "MODIFICATION: Increase 18 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4816155892674, + "fos_buckling": 1.5405479859131315, + "fos_yielding": 2.6487800841945304, + "deflection": 0.003960675536730751, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.289)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 294)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.29 kg\n Factor of Safety: 1.22\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.28723578551075, + "fos_buckling": 1.2179390123850227, + "fos_yielding": 2.624562819278831, + "deflection": 0.004149022435721107, + "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: Increase 19 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.12 kg\n Factor of Safety: 1.24\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.12057587087028, + "fos_buckling": 1.2393602926635796, + "fos_yielding": 2.625932533226885, + "deflection": 0.00410517951334013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.403)" + }, + "parent_node_id": "node_2040", + "improvement_over_parent": null + }, + "node_2042": { + "node_id": "node_2042", + "content": "MODIFICATION: Increase 18 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.17 kg\n Factor of Safety: 1.33\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.16887439842287, + "fos_buckling": 1.3254585687081282, + "fos_yielding": 2.6313385351897454, + "deflection": 0.004043379484137875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.263)" + }, + "parent_node_id": "node_2041", + "improvement_over_parent": null + }, + "node_2043": { + "node_id": "node_2043", + "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.93 kg\n Factor of Safety: 1.34\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.92867368815837, + "fos_buckling": 1.3434653888908292, + "fos_yielding": 2.6483100423887946, + "deflection": 0.003992201347636048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.420)" + }, + "parent_node_id": "node_2042", + "improvement_over_parent": null + }, + "node_2044": { + "node_id": "node_2044", + "content": "MODIFICATION: Increase 12 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5275933595936, + "fos_buckling": 1.5408327523073289, + "fos_yielding": 2.6493454088949053, + "deflection": 0.003959958732673629, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.348)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 295)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 198.71 kg\n Factor of Safety: 0.78\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.70863140668877, + "fos_buckling": 0.7820835921506979, + "fos_yielding": 1.7659197745567583, + "deflection": 0.006332198601406945, + "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 5 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 200.50 kg\n Factor of Safety: 0.78\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.5001979115487, + "fos_buckling": 0.7819407855293783, + "fos_yielding": 2.2379777056514327, + "deflection": 0.006122188741443194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.290)" + }, + "parent_node_id": "node_2046", + "improvement_over_parent": null + }, + "node_2048": { + "node_id": "node_2048", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 225.86 kg\n Factor of Safety: 0.86\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.86297510189343, + "fos_buckling": 0.8627686605802833, + "fos_yielding": 2.5177334628830166, + "deflection": 0.005442714028861818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_2047", + "improvement_over_parent": null + }, + "node_2049": { + "node_id": "node_2049", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 241.35 kg\n Factor of Safety: 0.95\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.35025930319566, + "fos_buckling": 0.9512981068589748, + "fos_yielding": 2.5166176339712565, + "deflection": 0.004779930924350769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003764)" + }, + "parent_node_id": "node_2048", + "improvement_over_parent": null + }, + "node_2050": { + "node_id": "node_2050", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 255.10 kg\n Factor of Safety: 1.54\n Max Deflection: 3.98e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.09972776938307, + "fos_buckling": 1.5414754005499391, + "fos_yielding": 2.6496693523401214, + "deflection": 0.003981244864266297, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_2049", + "improvement_over_parent": null + }, + "node_2051": { + "node_id": "node_2051", + "content": "MODIFICATION: Increase 19 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.61 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.60915832442737, + "fos_buckling": 1.5412595757483405, + "fos_yielding": 2.6502474181087705, + "deflection": 0.00395881757311647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.178)" + }, + "parent_node_id": "node_2050", + "improvement_over_parent": null + }, + "node_2052": { + "node_id": "node_2052", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2051", + "improvement_over_parent": null + }, + "node_2053": { + "node_id": "node_2053", + "content": "INITIAL DESIGN (Trace 296)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 157.24 kg\n Factor of Safety: 0.19\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": 157.24102227762717, + "fos_buckling": 0.1915588265009381, + "fos_yielding": 1.0376690400662747, + "deflection": 0.011694636936048473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2054": { + "node_id": "node_2054", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 176.44 kg\n Factor of Safety: 0.21\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.43592325930032, + "fos_buckling": 0.21173064908637448, + "fos_yielding": 1.1632381585621179, + "deflection": 0.010429637801107101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2053", + "improvement_over_parent": null + }, + "node_2055": { + "node_id": "node_2055", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 177.99 kg\n Factor of Safety: 0.21\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.9875252528049, + "fos_buckling": 0.2121101712557919, + "fos_yielding": 1.1631523876276637, + "deflection": 0.010351558285429982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.312)" + }, + "parent_node_id": "node_2054", + "improvement_over_parent": null + }, + "node_2056": { + "node_id": "node_2056", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 222.93 kg\n Factor of Safety: 0.26\n Max Deflection: 8.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.93207796874293, + "fos_buckling": 0.2563518789947972, + "fos_yielding": 1.4538376661243997, + "deflection": 0.008278073015628622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_2055", + "improvement_over_parent": null + }, + "node_2057": { + "node_id": "node_2057", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 254.88 kg\n Factor of Safety: 1.49\n Max Deflection: 3.95e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.88202034248044, + "fos_buckling": 1.4942319451630983, + "fos_yielding": 2.662225221913465, + "deflection": 0.003946735577207401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_2056", + "improvement_over_parent": null + }, + "node_2058": { + "node_id": "node_2058", + "content": "MODIFICATION: Increase 16 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0074)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 264.96 kg\n Factor of Safety: 1.36\n Max Deflection: 3.90e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.95746491452024, + "fos_buckling": 1.3572414666027734, + "fos_yielding": 2.6547762224835587, + "deflection": 0.0039016419427989764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.658)" + }, + "parent_node_id": "node_2057", + "improvement_over_parent": null + }, + "node_2059": { + "node_id": "node_2059", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2058", + "improvement_over_parent": null + }, + "node_2060": { + "node_id": "node_2060", + "content": "INITIAL DESIGN (Trace 297)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 186.87 kg\n Factor of Safety: 0.04\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": 186.86974382728218, + "fos_buckling": 0.04107078773095812, + "fos_yielding": 0.5243678502915793, + "deflection": 0.02048386396811076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2061": { + "node_id": "node_2061", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 231.51 kg\n Factor of Safety: 0.05\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": 231.51041072018052, + "fos_buckling": 0.04903815286597268, + "fos_yielding": 0.6477610933684818, + "deflection": 0.016578989169237564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_2060", + "improvement_over_parent": null + }, + "node_2062": { + "node_id": "node_2062", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 241.07 kg\n Factor of Safety: 1.17\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.07355169940033, + "fos_buckling": 1.172394945697718, + "fos_yielding": 2.6407537341036313, + "deflection": 0.004165053192412214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_2061", + "improvement_over_parent": null + }, + "node_2063": { + "node_id": "node_2063", + "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0050)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 244.78 kg\n Factor of Safety: 1.17\n Max Deflection: 4.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.77556492953684, + "fos_buckling": 1.1711489893143965, + "fos_yielding": 2.66619863661749, + "deflection": 0.004183867922065007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.550)" + }, + "parent_node_id": "node_2062", + "improvement_over_parent": null + }, + "node_2064": { + "node_id": "node_2064", + "content": "MODIFICATION: Increase 17 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0050)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0070)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 253.10 kg\n Factor of Safety: 1.15\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.09686636653484, + "fos_buckling": 1.145625883006217, + "fos_yielding": 2.6636873913907126, + "deflection": 0.004096677748074575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.458)" + }, + "parent_node_id": "node_2063", + "improvement_over_parent": null + }, + "node_2065": { + "node_id": "node_2065", + "content": "MODIFICATION: Increase 17 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0050)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0084)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 258.19 kg\n Factor of Safety: 1.14\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.19108580964854, + "fos_buckling": 1.1353545251915915, + "fos_yielding": 2.6624872260306116, + "deflection": 0.004062296221633524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.209)" + }, + "parent_node_id": "node_2064", + "improvement_over_parent": null + }, + "node_2066": { + "node_id": "node_2066", + "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0050)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0093)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0084)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 274.05 kg\n Factor of Safety: 1.13\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.0529318998936, + "fos_buckling": 1.1339053454706773, + "fos_yielding": 2.5311050718483985, + "deflection": 0.0039199296979426975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.580)" + }, + "parent_node_id": "node_2065", + "improvement_over_parent": null + }, + "node_2067": { + "node_id": "node_2067", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0050)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0093)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0084)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 275.43 kg\n Factor of Safety: 1.13\n Max Deflection: 3.88e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.4312054736924, + "fos_buckling": 1.133591208532975, + "fos_yielding": 2.692522525720424, + "deflection": 0.003879731699648417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.217)" + }, + "parent_node_id": "node_2066", + "improvement_over_parent": null + }, + "node_2068": { + "node_id": "node_2068", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2067", + "improvement_over_parent": null + }, + "node_2069": { + "node_id": "node_2069", + "content": "INITIAL DESIGN (Trace 298)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 179.00 kg\n Factor of Safety: 0.27\n Max Deflection: 2.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.99562423509602, + "fos_buckling": 0.26738979028285614, + "fos_yielding": 0.9373306051656478, + "deflection": 0.02352961897106538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2070": { + "node_id": "node_2070", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n\nPerformance:\n Mass: 182.77 kg\n Factor of Safety: 0.27\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": 182.77122088515782, + "fos_buckling": 0.26736092469801803, + "fos_yielding": 0.9372292708679743, + "deflection": 0.02331330428045892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002256)" + }, + "parent_node_id": "node_2069", + "improvement_over_parent": null + }, + "node_2071": { + "node_id": "node_2071", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n\nPerformance:\n Mass: 187.78 kg\n Factor of Safety: 0.36\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": 187.7835275295339, + "fos_buckling": 0.35810179326086755, + "fos_yielding": 1.1173947964981332, + "deflection": 0.014676347353053747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002202)" + }, + "parent_node_id": "node_2070", + "improvement_over_parent": null + }, + "node_2072": { + "node_id": "node_2072", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n Mass: 214.18 kg\n Factor of Safety: 0.40\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": 214.17547998393127, + "fos_buckling": 0.40040717173370616, + "fos_yielding": 1.2722626484066666, + "deflection": 0.012889824399165662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 221.61 kg\n Factor of Safety: 1.36\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.61149369791102, + "fos_buckling": 1.3612116058793298, + "fos_yielding": 2.2835286885192834, + "deflection": 0.0045920669480368865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003416)" + }, + "parent_node_id": "node_2072", + "improvement_over_parent": null + }, + "node_2074": { + "node_id": "node_2074", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.521013625539, + "fos_buckling": 1.5407607998801394, + "fos_yielding": 2.6492019109797993, + "deflection": 0.0039599232322061455, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 299)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 144.28 kg\n Factor of Safety: 0.07\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": 144.27778792360297, + "fos_buckling": 0.06583529093270139, + "fos_yielding": 0.8242219442606287, + "deflection": 0.015663391495308498, + "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: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n\nPerformance:\n Mass: 151.20 kg\n Factor of Safety: 0.49\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.19656893955818, + "fos_buckling": 0.48808196182365393, + "fos_yielding": 1.584767708846722, + "deflection": 0.008260616781329097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002467)" + }, + "parent_node_id": "node_2076", + "improvement_over_parent": null + }, + "node_2078": { + "node_id": "node_2078", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 178.67 kg\n Factor of Safety: 0.56\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.667305306399, + "fos_buckling": 0.563986992046764, + "fos_yielding": 1.8692809765594987, + "deflection": 0.00699651549650425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2077", + "improvement_over_parent": null + }, + "node_2079": { + "node_id": "node_2079", + "content": "MODIFICATION: Increase 16 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0050)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 183.98 kg\n Factor of Safety: 0.56\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.9837147234111, + "fos_buckling": 0.5640386799511126, + "fos_yielding": 1.8689956392599738, + "deflection": 0.0069966737572386235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.401)" + }, + "parent_node_id": "node_2078", + "improvement_over_parent": null + }, + "node_2080": { + "node_id": "node_2080", + "content": "MODIFICATION: Increase 13 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0050)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n Mass: 190.21 kg\n Factor of Safety: 0.53\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.21238527222667, + "fos_buckling": 0.5254162218079074, + "fos_yielding": 1.8679934320980318, + "deflection": 0.006882130968886137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.626)" + }, + "parent_node_id": "node_2079", + "improvement_over_parent": null + }, + "node_2081": { + "node_id": "node_2081", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0050)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 207.38 kg\n Factor of Safety: 1.05\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.37655625558682, + "fos_buckling": 1.0542840649776355, + "fos_yielding": 2.159575866820503, + "deflection": 0.004915205468096386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003850)" + }, + "parent_node_id": "node_2080", + "improvement_over_parent": null + }, + "node_2082": { + "node_id": "node_2082", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0062)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 252.78 kg\n Factor of Safety: 1.24\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.77639285687297, + "fos_buckling": 1.2427291462769479, + "fos_yielding": 2.630199545451393, + "deflection": 0.0040389730200961005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2081", + "improvement_over_parent": null + }, + "node_2083": { + "node_id": "node_2083", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0062)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 259.42 kg\n Factor of Safety: 1.47\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.4189930856923, + "fos_buckling": 1.471809120000743, + "fos_yielding": 2.643970358673159, + "deflection": 0.003962165455684513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_2082", + "improvement_over_parent": null + }, + "node_2084": { + "node_id": "node_2084", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2083", + "improvement_over_parent": null + }, + "node_2085": { + "node_id": "node_2085", + "content": "INITIAL DESIGN (Trace 300)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 168.47 kg\n Factor of Safety: 0.64\n Max Deflection: 4.73e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.47069667056113, + "fos_buckling": 0.6351565505832978, + "fos_yielding": 3.3589877224364053, + "deflection": 4731851195207.688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2086": { + "node_id": "node_2086", + "content": "MODIFICATION: Increase 1 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 171.81 kg\n Factor of Safety: 0.38\n Max Deflection: 8.30e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.81228026415678, + "fos_buckling": 0.3759680664320484, + "fos_yielding": 1.2596203959136518, + "deflection": 8295401002276.417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.647)" + }, + "parent_node_id": "node_2085", + "improvement_over_parent": null + }, + "node_2087": { + "node_id": "node_2087", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 199.04 kg\n Factor of Safety: 0.05\n Max Deflection: 1.44e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.03987039445758, + "fos_buckling": 0.05300702284615138, + "fos_yielding": 0.05484894583608119, + "deflection": 143796525066016.4, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_2086", + "improvement_over_parent": null + }, + "node_2088": { + "node_id": "node_2088", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 217.08 kg\n Factor of Safety: 0.25\n Max Deflection: 9.10e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.08240659720525, + "fos_buckling": 0.2513154259359699, + "fos_yielding": 0.8397469306091013, + "deflection": 9101797672743.984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_2087", + "improvement_over_parent": null + }, + "node_2089": { + "node_id": "node_2089", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 235.07 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.07177116386515, + "fos_buckling": 0.6727390722338983, + "fos_yielding": 2.468669382787761, + "deflection": 0.005091681594488339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_2088", + "improvement_over_parent": null + }, + "node_2090": { + "node_id": "node_2090", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.33 kg\n Factor of Safety: 1.54\n Max Deflection: 3.99e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.3268972457573, + "fos_buckling": 1.5411399179610683, + "fos_yielding": 2.649604977939388, + "deflection": 0.003987705015929479, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_2089", + "improvement_over_parent": null + }, + "node_2091": { + "node_id": "node_2091", + "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.59971766755535, + "fos_buckling": 1.5412763812217027, + "fos_yielding": 2.6488124227517678, + "deflection": 0.003958949307090621, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.325)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 301)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\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_2094": { + "node_id": "node_2094", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 213.89 kg\n Factor of Safety: 0.91\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.8899170723798, + "fos_buckling": 0.9127262679261475, + "fos_yielding": 1.8003465467102664, + "deflection": 0.005942867396393332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_2093", + "improvement_over_parent": null + }, + "node_2095": { + "node_id": "node_2095", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 218.61 kg\n Factor of Safety: 0.91\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.60673632174138, + "fos_buckling": 0.9128503100858545, + "fos_yielding": 2.3895631504731427, + "deflection": 0.004925022845206912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_2094", + "improvement_over_parent": null + }, + "node_2096": { + "node_id": "node_2096", + "content": "MODIFICATION: Increase 15 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0068)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 226.13 kg\n Factor of Safety: 1.16\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.1317373313011, + "fos_buckling": 1.16007275136909, + "fos_yielding": 2.3880189170286896, + "deflection": 0.004746766346251522, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.412)" + }, + "parent_node_id": "node_2095", + "improvement_over_parent": null + }, + "node_2097": { + "node_id": "node_2097", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0068)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 245.22 kg\n Factor of Safety: 1.16\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.22148110610857, + "fos_buckling": 1.159435175375957, + "fos_yielding": 2.386714647878214, + "deflection": 0.004240606273320603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_2096", + "improvement_over_parent": null + }, + "node_2098": { + "node_id": "node_2098", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0068)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 263.26 kg\n Factor of Safety: 1.54\n Max Deflection: 3.88e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 263.26401730885624, + "fos_buckling": 1.5372405649836267, + "fos_yielding": 2.663322910030901, + "deflection": 0.0038805027098429766, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_2097", + "improvement_over_parent": null + }, + "node_2099": { + "node_id": "node_2099", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2098", + "improvement_over_parent": null + }, + "node_2100": { + "node_id": "node_2100", + "content": "INITIAL DESIGN (Trace 302)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 117.50 kg\n Factor of Safety: 0.51\n Max Deflection: 9.30e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.50451967160015, + "fos_buckling": 0.5057140917256028, + "fos_yielding": 1.1806360085917729, + "deflection": 0.009299141752903844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2101": { + "node_id": "node_2101", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 135.86 kg\n Factor of Safety: 0.58\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.862220356291, + "fos_buckling": 0.5763737081597722, + "fos_yielding": 1.36648019370798, + "deflection": 0.008051186766062958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2100", + "improvement_over_parent": null + }, + "node_2102": { + "node_id": "node_2102", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n\nPerformance:\n Mass: 146.16 kg\n Factor of Safety: 0.95\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.16269057963345, + "fos_buckling": 0.9475772890517448, + "fos_yielding": 1.3623102585503797, + "deflection": 0.006979839339783059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002438)" + }, + "parent_node_id": "node_2101", + "improvement_over_parent": null + }, + "node_2103": { + "node_id": "node_2103", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 169.90 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.8965907068068, + "fos_buckling": 1.0903017127511767, + "fos_yielding": 1.5855362927367747, + "deflection": 0.0060125602405405295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_2102", + "improvement_over_parent": null + }, + "node_2104": { + "node_id": "node_2104", + "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 171.46 kg\n Factor of Safety: 1.09\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.4603289679111, + "fos_buckling": 1.09147846501379, + "fos_yielding": 1.7709204308132809, + "deflection": 0.005918122914298998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.414)" + }, + "parent_node_id": "node_2103", + "improvement_over_parent": null + }, + "node_2105": { + "node_id": "node_2105", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n\nPerformance:\n Mass: 192.48 kg\n Factor of Safety: 1.21\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.47869311011047, + "fos_buckling": 1.2072463755336895, + "fos_yielding": 1.9860953954171483, + "deflection": 0.005278285019188825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2104", + "improvement_over_parent": null + }, + "node_2106": { + "node_id": "node_2106", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 231.13 kg\n Factor of Safety: 1.41\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.13121922116622, + "fos_buckling": 1.4099583897504389, + "fos_yielding": 2.3807208863348266, + "deflection": 0.004405406227673773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2105", + "improvement_over_parent": null + }, + "node_2107": { + "node_id": "node_2107", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.42 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.42368087302884, + "fos_buckling": 1.5403348502379735, + "fos_yielding": 2.648359949654298, + "deflection": 0.0039614486919771486, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 303)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 205.73 kg\n Factor of Safety: 1.06\n Max Deflection: 4.94e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.7332734483513, + "fos_buckling": 1.0567437792023686, + "fos_yielding": 2.1956430491797794, + "deflection": 0.0049360783984548524, + "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 all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 249.30 kg\n Factor of Safety: 1.26\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.30295596203266, + "fos_buckling": 1.2551946446278937, + "fos_yielding": 2.654061053898662, + "deflection": 0.004083574111323197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2109", + "improvement_over_parent": null + }, + "node_2111": { + "node_id": "node_2111", + "content": "MODIFICATION: Increase 20 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.45 kg\n Factor of Safety: 1.54\n Max Deflection: 3.98e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.4450413074417, + "fos_buckling": 1.5412196753184584, + "fos_yielding": 2.6511810205106854, + "deflection": 0.0039846003574620995, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.555)" + }, + "parent_node_id": "node_2110", + "improvement_over_parent": null + }, + "node_2112": { + "node_id": "node_2112", + "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.62 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6244520923514, + "fos_buckling": 1.5413434995516402, + "fos_yielding": 2.650457834863247, + "deflection": 0.003958434487749104, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.295)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 304)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0025)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0007)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n Mass: 113.52 kg\n Factor of Safety: 0.70\n Max Deflection: 8.80e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.52034452270243, + "fos_buckling": 0.6979748358619184, + "fos_yielding": 1.1915607569277593, + "deflection": 0.008801936062546515, + "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 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0009)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 136.21 kg\n Factor of Safety: 0.83\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.20581507943712, + "fos_buckling": 0.8344967744766956, + "fos_yielding": 1.4280446298966272, + "deflection": 0.007346252761533152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2114", + "improvement_over_parent": null + }, + "node_2116": { + "node_id": "node_2116", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 161.36 kg\n Factor of Safety: 0.98\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.36367339453145, + "fos_buckling": 0.9846540374872133, + "fos_yielding": 1.689666329615855, + "deflection": 0.006210575604301998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2115", + "improvement_over_parent": null + }, + "node_2117": { + "node_id": "node_2117", + "content": "MODIFICATION: Increase 16 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 162.74 kg\n Factor of Safety: 1.04\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.7358772143741, + "fos_buckling": 1.0422471997519565, + "fos_yielding": 1.6814016003942787, + "deflection": 0.006232460645026271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.522)" + }, + "parent_node_id": "node_2116", + "improvement_over_parent": null + }, + "node_2118": { + "node_id": "node_2118", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 208.75 kg\n Factor of Safety: 1.29\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.75092343436233, + "fos_buckling": 1.2941582261059779, + "fos_yielding": 2.152296664964259, + "deflection": 0.004871576618675407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_2117", + "improvement_over_parent": null + }, + "node_2119": { + "node_id": "node_2119", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 231.81 kg\n Factor of Safety: 1.41\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.80825130227697, + "fos_buckling": 1.4133572233758651, + "fos_yielding": 2.3875097035417694, + "deflection": 0.004392853193649923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2118", + "improvement_over_parent": null + }, + "node_2120": { + "node_id": "node_2120", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.96 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.9601773845268, + "fos_buckling": 1.542896090562477, + "fos_yielding": 2.653692735620488, + "deflection": 0.003953458154201435, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 305)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 202.51 kg\n Factor of Safety: 1.08\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.5127904010681, + "fos_buckling": 1.0841923892398082, + "fos_yielding": 2.064820479817424, + "deflection": 0.0050872968662078, + "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 2 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.12\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.09680834270958, + "fos_buckling": 1.1154328620955505, + "fos_yielding": 2.1487228062186197, + "deflection": 0.004947186617487147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.294)" + }, + "parent_node_id": "node_2122", + "improvement_over_parent": null + }, + "node_2124": { + "node_id": "node_2124", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n Mass: 209.50 kg\n Factor of Safety: 1.30\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.50035524792278, + "fos_buckling": 1.2981211473858978, + "fos_yielding": 2.159993947924143, + "deflection": 0.004854312234494818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002387)" + }, + "parent_node_id": "node_2123", + "improvement_over_parent": null + }, + "node_2125": { + "node_id": "node_2125", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.58 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.58015607200093, + "fos_buckling": 1.5410732092314385, + "fos_yielding": 2.649882374308974, + "deflection": 0.00395916650761563, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_2124", + "improvement_over_parent": null + }, + "node_2126": { + "node_id": "node_2126", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2125", + "improvement_over_parent": null + }, + "node_2127": { + "node_id": "node_2127", + "content": "INITIAL DESIGN (Trace 306)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 171.49 kg\n Factor of Safety: 0.56\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.4943733856311, + "fos_buckling": 0.5641468748002981, + "fos_yielding": 1.834617607571484, + "deflection": 0.007680653167291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2128": { + "node_id": "node_2128", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 213.20 kg\n Factor of Safety: 0.67\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.20072117824026, + "fos_buckling": 0.6743746706669489, + "fos_yielding": 2.2872367272390206, + "deflection": 0.006190374808667003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2127", + "improvement_over_parent": null + }, + "node_2129": { + "node_id": "node_2129", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 234.46 kg\n Factor of Safety: 0.87\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.4558472601324, + "fos_buckling": 0.8720122159857112, + "fos_yielding": 2.2864680581020744, + "deflection": 0.004934503492982766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_2128", + "improvement_over_parent": null + }, + "node_2130": { + "node_id": "node_2130", + "content": "MODIFICATION: Increase 17 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 237.53 kg\n Factor of Safety: 0.87\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.53263899053064, + "fos_buckling": 0.8718836564348186, + "fos_yielding": 2.2861344122287437, + "deflection": 0.0048815010231620945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.189)" + }, + "parent_node_id": "node_2129", + "improvement_over_parent": null + }, + "node_2131": { + "node_id": "node_2131", + "content": "MODIFICATION: Increase 18 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 241.58 kg\n Factor of Safety: 0.87\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.57582143900152, + "fos_buckling": 0.8718273554159384, + "fos_yielding": 2.285988295948889, + "deflection": 0.00483824050931273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.318)" + }, + "parent_node_id": "node_2130", + "improvement_over_parent": null + }, + "node_2132": { + "node_id": "node_2132", + "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.87 kg\n Factor of Safety: 0.95\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.87268036596504, + "fos_buckling": 0.9511814459175167, + "fos_yielding": 2.5179594459871186, + "deflection": 0.004754524060568564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.416)" + }, + "parent_node_id": "node_2131", + "improvement_over_parent": null + }, + "node_2133": { + "node_id": "node_2133", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.62 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.62214883215245, + "fos_buckling": 1.5414556882110264, + "fos_yielding": 2.65056451300509, + "deflection": 0.003958472703114093, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_2132", + "improvement_over_parent": null + }, + "node_2134": { + "node_id": "node_2134", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2133", + "improvement_over_parent": null + }, + "node_2135": { + "node_id": "node_2135", + "content": "INITIAL DESIGN (Trace 307)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 241.70 kg\n Factor of Safety: 0.05\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": 241.69698429731537, + "fos_buckling": 0.04906098557291328, + "fos_yielding": 0.6481269136207851, + "deflection": 0.01730919324672249, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2136": { + "node_id": "node_2136", + "content": "MODIFICATION: Increase 9 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 245.42 kg\n Factor of Safety: 0.05\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": 245.421169330254, + "fos_buckling": 0.04904943967041946, + "fos_yielding": 0.6479743848841342, + "deflection": 0.016606189699242553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.653)" + }, + "parent_node_id": "node_2135", + "improvement_over_parent": null + }, + "node_2137": { + "node_id": "node_2137", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 254.98 kg\n Factor of Safety: 1.52\n Max Deflection: 4.14e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.9843103094738, + "fos_buckling": 1.5214734832970354, + "fos_yielding": 2.018875448879239, + "deflection": 0.0041433233007627576, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_2136", + "improvement_over_parent": null + }, + "node_2138": { + "node_id": "node_2138", + "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5315393627313, + "fos_buckling": 1.540821187006546, + "fos_yielding": 2.6489907875468957, + "deflection": 0.003959969225723428, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.359)" + }, + "parent_node_id": "node_2137", + "improvement_over_parent": null + }, + "node_2139": { + "node_id": "node_2139", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2138", + "improvement_over_parent": null + }, + "node_2140": { + "node_id": "node_2140", + "content": "INITIAL DESIGN (Trace 308)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 179.88 kg\n Factor of Safety: 0.73\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.8802188262606, + "fos_buckling": 0.7250218805389098, + "fos_yielding": 1.821914699202232, + "deflection": 0.005818765601507157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2141": { + "node_id": "node_2141", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 200.88 kg\n Factor of Safety: 0.80\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.88000600648724, + "fos_buckling": 0.7967286994065521, + "fos_yielding": 2.032248772014828, + "deflection": 0.00521668479882611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_2140", + "improvement_over_parent": null + }, + "node_2142": { + "node_id": "node_2142", + "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 203.43 kg\n Factor of Safety: 0.80\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.43459502778265, + "fos_buckling": 0.7966700433751619, + "fos_yielding": 2.032099895353759, + "deflection": 0.005191599449189878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.202)" + }, + "parent_node_id": "node_2141", + "improvement_over_parent": null + }, + "node_2143": { + "node_id": "node_2143", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.55 kg\n Factor of Safety: 0.91\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.54964590908008, + "fos_buckling": 0.9124053871791503, + "fos_yielding": 2.3885192349940203, + "deflection": 0.0044177390719737746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2142", + "improvement_over_parent": null + }, + "node_2144": { + "node_id": "node_2144", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.59218211182775, + "fos_buckling": 1.5411398705461328, + "fos_yielding": 2.650073955901763, + "deflection": 0.0039589027136395505, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_2143", + "improvement_over_parent": null + }, + "node_2145": { + "node_id": "node_2145", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2144", + "improvement_over_parent": null + }, + "node_2146": { + "node_id": "node_2146", + "content": "INITIAL DESIGN (Trace 309)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 201.19 kg\n Factor of Safety: 0.22\n Max Deflection: 9.37e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.18788767171952, + "fos_buckling": 0.2164934133377713, + "fos_yielding": 1.2274798267577733, + "deflection": 0.009372035761517648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2147": { + "node_id": "node_2147", + "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 202.72 kg\n Factor of Safety: 0.22\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.7153639785772, + "fos_buckling": 0.2163644576368602, + "fos_yielding": 1.2267486704654254, + "deflection": 0.009356993754752218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.605)" + }, + "parent_node_id": "node_2146", + "improvement_over_parent": null + }, + "node_2148": { + "node_id": "node_2148", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 224.13 kg\n Factor of Safety: 0.24\n Max Deflection: 8.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.12592186094727, + "fos_buckling": 0.23616291933318126, + "fos_yielding": 1.357830936207804, + "deflection": 0.008467287317981671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2147", + "improvement_over_parent": null + }, + "node_2149": { + "node_id": "node_2149", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 225.48 kg\n Factor of Safety: 0.27\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.47844899194274, + "fos_buckling": 0.26763133593389793, + "fos_yielding": 1.4540619944364608, + "deflection": 0.008137527488784485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.229)" + }, + "parent_node_id": "node_2148", + "improvement_over_parent": null + }, + "node_2150": { + "node_id": "node_2150", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.43 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4283913656802, + "fos_buckling": 1.5407292012245084, + "fos_yielding": 2.648142091655228, + "deflection": 0.003961589319622315, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_2149", + "improvement_over_parent": null + }, + "node_2151": { + "node_id": "node_2151", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2150", + "improvement_over_parent": null + }, + "node_2152": { + "node_id": "node_2152", + "content": "INITIAL DESIGN (Trace 310)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 212.15 kg\n Factor of Safety: 1.10\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.14710390557056, + "fos_buckling": 1.0951204744589533, + "fos_yielding": 1.8701311947974488, + "deflection": 0.004908467307811945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2153": { + "node_id": "node_2153", + "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 213.56 kg\n Factor of Safety: 1.13\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.55854758575285, + "fos_buckling": 1.1282244280951843, + "fos_yielding": 2.217834905626799, + "deflection": 0.004776049395909037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.209)" + }, + "parent_node_id": "node_2152", + "improvement_over_parent": null + }, + "node_2154": { + "node_id": "node_2154", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 214.28 kg\n Factor of Safety: 1.14\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.28375460187905, + "fos_buckling": 1.1355679263379306, + "fos_yielding": 2.218286319176332, + "deflection": 0.004758780926172659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.241)" + }, + "parent_node_id": "node_2153", + "improvement_over_parent": null + }, + "node_2155": { + "node_id": "node_2155", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.51 kg\n Factor of Safety: 1.33\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.51176817209847, + "fos_buckling": 1.3265920064612116, + "fos_yielding": 2.6299028961154205, + "deflection": 0.004015410707544645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_2154", + "improvement_over_parent": null + }, + "node_2156": { + "node_id": "node_2156", + "content": "MODIFICATION: Increase 10 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.47 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.46827096672433, + "fos_buckling": 1.5404901490518477, + "fos_yielding": 2.6480976281936326, + "deflection": 0.003960944142510113, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.462)" + }, + "parent_node_id": "node_2155", + "improvement_over_parent": null + }, + "node_2157": { + "node_id": "node_2157", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2156", + "improvement_over_parent": null + }, + "node_2158": { + "node_id": "node_2158", + "content": "INITIAL DESIGN (Trace 311)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 197.25 kg\n Factor of Safety: 0.26\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.24775034111033, + "fos_buckling": 0.2566319448809074, + "fos_yielding": 1.4564372642773835, + "deflection": 0.008719313920383606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2159": { + "node_id": "node_2159", + "content": "MODIFICATION: Increase 17 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 199.81 kg\n Factor of Safety: 0.26\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.80503154996302, + "fos_buckling": 0.256628734743584, + "fos_yielding": 1.4563783261146976, + "deflection": 0.008703326506953095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.182)" + }, + "parent_node_id": "node_2158", + "improvement_over_parent": null + }, + "node_2160": { + "node_id": "node_2160", + "content": "MODIFICATION: Increase 16 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 205.25 kg\n Factor of Safety: 0.26\n Max Deflection: 8.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.2505299345898, + "fos_buckling": 0.2566082295498456, + "fos_yielding": 1.4560019282405021, + "deflection": 0.008584886417227721, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.385)" + }, + "parent_node_id": "node_2159", + "improvement_over_parent": null + }, + "node_2161": { + "node_id": "node_2161", + "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 207.56 kg\n Factor of Safety: 0.26\n Max Deflection: 8.56e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.56208281887194, + "fos_buckling": 0.25660822954984547, + "fos_yielding": 1.4560019282405017, + "deflection": 0.008563650951166667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.299)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 239.51 kg\n Factor of Safety: 0.91\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.51202519260946, + "fos_buckling": 0.9126539961076726, + "fos_yielding": 2.387886940742508, + "deflection": 0.004418322461281063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_2161", + "improvement_over_parent": null + }, + "node_2163": { + "node_id": "node_2163", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.55 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.55456139535715, + "fos_buckling": 1.5408070362011284, + "fos_yielding": 2.6493806358213186, + "deflection": 0.0039596380636957446, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_2162", + "improvement_over_parent": null + }, + "node_2164": { + "node_id": "node_2164", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2163", + "improvement_over_parent": null + }, + "node_2165": { + "node_id": "node_2165", + "content": "INITIAL DESIGN (Trace 312)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n Mass: 222.83 kg\n Factor of Safety: 0.67\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.83046997068593, + "fos_buckling": 0.6735137835593742, + "fos_yielding": 2.204059386460382, + "deflection": 0.005309804695975268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2166": { + "node_id": "node_2166", + "content": "MODIFICATION: Increase 18 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 228.44 kg\n Factor of Safety: 0.67\n Max Deflection: 4.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.44181684296103, + "fos_buckling": 0.672763970388116, + "fos_yielding": 2.468598972848172, + "deflection": 0.004944125009140442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.497)" + }, + "parent_node_id": "node_2165", + "improvement_over_parent": null + }, + "node_2167": { + "node_id": "node_2167", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 236.28 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.2805798609405, + "fos_buckling": 0.6724651647805442, + "fos_yielding": 2.4674983753487347, + "deflection": 0.005092953240849541, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_2166", + "improvement_over_parent": null + }, + "node_2168": { + "node_id": "node_2168", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53570594283264, + "fos_buckling": 1.5408287344301206, + "fos_yielding": 2.6493690468220263, + "deflection": 0.003959858642410171, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_2167", + "improvement_over_parent": null + }, + "node_2169": { + "node_id": "node_2169", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2168", + "improvement_over_parent": null + }, + "node_2170": { + "node_id": "node_2170", + "content": "INITIAL DESIGN (Trace 313)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 193.44 kg\n Factor of Safety: 0.04\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": 193.44354019639513, + "fos_buckling": 0.04052834981745574, + "fos_yielding": 0.5163409081625687, + "deflection": 0.020442912824502033, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2171": { + "node_id": "node_2171", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n Mass: 197.19 kg\n Factor of Safety: 0.04\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": 197.1944807115059, + "fos_buckling": 0.040525943522132714, + "fos_yielding": 0.5163102513823643, + "deflection": 0.02006915043204473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002317)" + }, + "parent_node_id": "node_2170", + "improvement_over_parent": null + }, + "node_2172": { + "node_id": "node_2172", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 247.85 kg\n Factor of Safety: 0.05\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": 247.84982605394745, + "fos_buckling": 0.04902105960619685, + "fos_yielding": 0.6475449741211471, + "deflection": 0.016010643114328833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_2171", + "improvement_over_parent": null + }, + "node_2173": { + "node_id": "node_2173", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.41 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.41296703316726, + "fos_buckling": 1.5402373998363204, + "fos_yielding": 2.648175302872653, + "deflection": 0.00396158343506524, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_2172", + "improvement_over_parent": null + }, + "node_2174": { + "node_id": "node_2174", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2173", + "improvement_over_parent": null + }, + "node_2175": { + "node_id": "node_2175", + "content": "INITIAL DESIGN (Trace 314)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 155.29 kg\n Factor of Safety: 0.11\n Max Deflection: 4.15e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.2862774236154, + "fos_buckling": 0.10680441655093108, + "fos_yielding": 0.7120461502357238, + "deflection": 4148296165349.0244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2176": { + "node_id": "node_2176", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 166.47 kg\n Factor of Safety: 0.04\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": 166.46572265286233, + "fos_buckling": 0.04136232644168265, + "fos_yielding": 0.5286019161677481, + "deflection": 0.020812594491247813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003094)" + }, + "parent_node_id": "node_2175", + "improvement_over_parent": null + }, + "node_2177": { + "node_id": "node_2177", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n Mass: 171.87 kg\n Factor of Safety: 0.04\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.86716719030292, + "fos_buckling": 0.041355244915576114, + "fos_yielding": 0.5285114157391858, + "deflection": 0.02078862863322285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002386)" + }, + "parent_node_id": "node_2176", + "improvement_over_parent": null + }, + "node_2178": { + "node_id": "node_2178", + "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0049)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n Mass: 176.78 kg\n Factor of Safety: 0.04\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.77636771967266, + "fos_buckling": 0.0413520276303277, + "fos_yielding": 0.5284702995038704, + "deflection": 0.020765158194113714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.372)" + }, + "parent_node_id": "node_2177", + "improvement_over_parent": null + }, + "node_2179": { + "node_id": "node_2179", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 217.40 kg\n Factor of Safety: 0.05\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": 217.3958260609312, + "fos_buckling": 0.04913494593834841, + "fos_yielding": 0.6491478846936748, + "deflection": 0.016910125571983563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_2178", + "improvement_over_parent": null + }, + "node_2180": { + "node_id": "node_2180", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 249.35 kg\n Factor of Safety: 0.05\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.3457684346687, + "fos_buckling": 0.04906055037003279, + "fos_yielding": 0.6481650053014136, + "deflection": 0.01616563807083055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_2179", + "improvement_over_parent": null + }, + "node_2181": { + "node_id": "node_2181", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 258.91 kg\n Factor of Safety: 1.48\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.9089094138885, + "fos_buckling": 1.4755992076024957, + "fos_yielding": 2.6575429765601686, + "deflection": 0.003955755840193731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_2180", + "improvement_over_parent": null + }, + "node_2182": { + "node_id": "node_2182", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2181", + "improvement_over_parent": null + }, + "node_2183": { + "node_id": "node_2183", + "content": "INITIAL DESIGN (Trace 315)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0012)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 117.01 kg\n Factor of Safety: 0.51\n Max Deflection: 9.24e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.00838935007879, + "fos_buckling": 0.507095421480231, + "fos_yielding": 1.319270350002192, + "deflection": 0.009244079969997822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2184": { + "node_id": "node_2184", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0015)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 151.02 kg\n Factor of Safety: 0.64\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.020659518438, + "fos_buckling": 0.637043471659946, + "fos_yielding": 1.6996358393840072, + "deflection": 0.007177288498115807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2183", + "improvement_over_parent": null + }, + "node_2185": { + "node_id": "node_2185", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0015)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 162.56 kg\n Factor of Safety: 0.87\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.5599528828092, + "fos_buckling": 0.8655682185339397, + "fos_yielding": 1.7119399377063271, + "deflection": 0.0062170138921747555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002748)" + }, + "parent_node_id": "node_2184", + "improvement_over_parent": null + }, + "node_2186": { + "node_id": "node_2186", + "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 165.16 kg\n Factor of Safety: 1.06\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.1615001327062, + "fos_buckling": 1.0559930874459573, + "fos_yielding": 1.7062969902782006, + "deflection": 0.006141706694817605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.580)" + }, + "parent_node_id": "node_2185", + "improvement_over_parent": null + }, + "node_2187": { + "node_id": "node_2187", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 202.73 kg\n Factor of Safety: 1.26\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.73004506849205, + "fos_buckling": 1.2622591124639588, + "fos_yielding": 2.0908225292722507, + "deflection": 0.005014447007694719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_2186", + "improvement_over_parent": null + }, + "node_2188": { + "node_id": "node_2188", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.58 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5776363777495, + "fos_buckling": 1.5410421041134683, + "fos_yielding": 2.649837864689595, + "deflection": 0.003959191006307396, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2187", + "improvement_over_parent": null + }, + "node_2189": { + "node_id": "node_2189", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2188", + "improvement_over_parent": null + }, + "node_2190": { + "node_id": "node_2190", + "content": "INITIAL DESIGN (Trace 316)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 133.19 kg\n Factor of Safety: 0.17\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": 133.19000265703735, + "fos_buckling": 0.1710246504342681, + "fos_yielding": 0.8714130305652975, + "deflection": 0.013721120104060435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2191": { + "node_id": "node_2191", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 134.59 kg\n Factor of Safety: 0.17\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": 134.58692341292306, + "fos_buckling": 0.1715487256411267, + "fos_yielding": 0.871355077685547, + "deflection": 0.013583794794716518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.391)" + }, + "parent_node_id": "node_2190", + "improvement_over_parent": null + }, + "node_2192": { + "node_id": "node_2192", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 149.70 kg\n Factor of Safety: 0.19\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": 149.70178876986463, + "fos_buckling": 0.18861953434967887, + "fos_yielding": 0.9685765736757841, + "deflection": 0.012219827219464956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2191", + "improvement_over_parent": null + }, + "node_2193": { + "node_id": "node_2193", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 177.61 kg\n Factor of Safety: 0.22\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.60881212214878, + "fos_buckling": 0.21897648350856186, + "fos_yielding": 1.147744354423334, + "deflection": 0.01031150528693216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_2192", + "improvement_over_parent": null + }, + "node_2194": { + "node_id": "node_2194", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 196.31 kg\n Factor of Safety: 0.24\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.3068646900126, + "fos_buckling": 0.23847389768688027, + "fos_yielding": 1.2675463960363227, + "deflection": 0.009336457245112968, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_2193", + "improvement_over_parent": null + }, + "node_2195": { + "node_id": "node_2195", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n Mass: 224.09 kg\n Factor of Safety: 1.37\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.08794247641032, + "fos_buckling": 1.3733005620926801, + "fos_yielding": 2.308980295798265, + "deflection": 0.00454183434885121, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005071)" + }, + "parent_node_id": "node_2194", + "improvement_over_parent": null + }, + "node_2196": { + "node_id": "node_2196", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53951664735587, + "fos_buckling": 1.5401496091638704, + "fos_yielding": 2.649610493307617, + "deflection": 0.003959528448887871, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2195", + "improvement_over_parent": null + }, + "node_2197": { + "node_id": "node_2197", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2196", + "improvement_over_parent": null + }, + "node_2198": { + "node_id": "node_2198", + "content": "INITIAL DESIGN (Trace 317)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 0.05\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": 204.6187352715281, + "fos_buckling": 0.049112543482490875, + "fos_yielding": 0.6488080264932039, + "deflection": 0.016468465111523715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2199": { + "node_id": "node_2199", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 225.57 kg\n Factor of Safety: 0.05\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": 225.5749192783437, + "fos_buckling": 0.049063750995306056, + "fos_yielding": 0.6481634466145552, + "deflection": 0.016508178927685316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_2198", + "improvement_over_parent": null + }, + "node_2200": { + "node_id": "node_2200", + "content": "MODIFICATION: Increase 16 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 228.86 kg\n Factor of Safety: 0.05\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": 228.86444374668633, + "fos_buckling": 0.049056100765632264, + "fos_yielding": 0.6480623822007635, + "deflection": 0.016355402804087055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.245)" + }, + "parent_node_id": "node_2199", + "improvement_over_parent": null + }, + "node_2201": { + "node_id": "node_2201", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 246.85 kg\n Factor of Safety: 0.05\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": 246.85380831334624, + "fos_buckling": 0.04904216134334042, + "fos_yielding": 0.6478782335408422, + "deflection": 0.0160633996448925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_2200", + "improvement_over_parent": null + }, + "node_2202": { + "node_id": "node_2202", + "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 247.96 kg\n Factor of Safety: 0.05\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": 247.95883746944034, + "fos_buckling": 0.04903959344527852, + "fos_yielding": 0.6478443099694766, + "deflection": 0.016003516172033615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.311)" + }, + "parent_node_id": "node_2201", + "improvement_over_parent": null + }, + "node_2203": { + "node_id": "node_2203", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52197844866015, + "fos_buckling": 1.5408461757201921, + "fos_yielding": 2.6493677439261334, + "deflection": 0.003959966757409929, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_2202", + "improvement_over_parent": null + }, + "node_2204": { + "node_id": "node_2204", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2203", + "improvement_over_parent": null + }, + "node_2205": { + "node_id": "node_2205", + "content": "INITIAL DESIGN (Trace 318)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 205.51 kg\n Factor of Safety: 0.67\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.51053328872285, + "fos_buckling": 0.6738747030819006, + "fos_yielding": 2.2469722785206394, + "deflection": 0.006214730547657907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2206": { + "node_id": "node_2206", + "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 214.73 kg\n Factor of Safety: 0.67\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.72705197407737, + "fos_buckling": 0.6736984282571687, + "fos_yielding": 2.3951991247442557, + "deflection": 0.005882430157426908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.445)" + }, + "parent_node_id": "node_2205", + "improvement_over_parent": null + }, + "node_2207": { + "node_id": "node_2207", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 235.98 kg\n Factor of Safety: 0.92\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.9821780559695, + "fos_buckling": 0.9173933250692012, + "fos_yielding": 2.3937382572281733, + "deflection": 0.00504722030619977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_2206", + "improvement_over_parent": null + }, + "node_2208": { + "node_id": "node_2208", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 245.95 kg\n Factor of Safety: 1.16\n Max Deflection: 4.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.95393145466517, + "fos_buckling": 1.1629364431624394, + "fos_yielding": 2.4276762897075272, + "deflection": 0.004519152644086705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_2207", + "improvement_over_parent": null + }, + "node_2209": { + "node_id": "node_2209", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 250.96 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.9571580633315, + "fos_buckling": 1.4355896343895973, + "fos_yielding": 2.7181030423410633, + "deflection": 0.003888277899513353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_2208", + "improvement_over_parent": null + }, + "node_2210": { + "node_id": "node_2210", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5159462514811, + "fos_buckling": 1.5404023006545058, + "fos_yielding": 2.649351514684295, + "deflection": 0.003960054555370343, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 319)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0013)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 150.38 kg\n Factor of Safety: 0.18\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": 150.3826337750681, + "fos_buckling": 0.17962968819988262, + "fos_yielding": 1.0236767095793093, + "deflection": 0.01167211397558342, + "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: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0013)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 164.36 kg\n Factor of Safety: 0.18\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": 164.35544011192403, + "fos_buckling": 0.17962968819988262, + "fos_yielding": 1.0236767095793093, + "deflection": 0.011364459295772166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003369)" + }, + "parent_node_id": "node_2212", + "improvement_over_parent": null + }, + "node_2214": { + "node_id": "node_2214", + "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0013)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 165.72 kg\n Factor of Safety: 0.18\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": 165.72190071897398, + "fos_buckling": 0.17962968819988243, + "fos_yielding": 1.0236767095793085, + "deflection": 0.011348521519408475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.637)" + }, + "parent_node_id": "node_2213", + "improvement_over_parent": null + }, + "node_2215": { + "node_id": "node_2215", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0013)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n Mass: 170.82 kg\n Factor of Safety: 0.22\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.81587463728715, + "fos_buckling": 0.21676321239799118, + "fos_yielding": 1.1321888441492358, + "deflection": 0.010505601385333128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002034)" + }, + "parent_node_id": "node_2214", + "improvement_over_parent": null + }, + "node_2216": { + "node_id": "node_2216", + "content": "MODIFICATION: Increase 12 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n Mass: 173.25 kg\n Factor of Safety: 0.22\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.2472010189227, + "fos_buckling": 0.2165104082614382, + "fos_yielding": 1.1321888441492356, + "deflection": 0.010469667712722714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.637)" + }, + "parent_node_id": "node_2215", + "improvement_over_parent": null + }, + "node_2217": { + "node_id": "node_2217", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 223.17 kg\n Factor of Safety: 0.27\n Max Deflection: 8.15e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.16825782148453, + "fos_buckling": 0.2678140582193628, + "fos_yielding": 1.4549403355471495, + "deflection": 0.008145838059021415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_2216", + "improvement_over_parent": null + }, + "node_2218": { + "node_id": "node_2218", + "content": "MODIFICATION: Increase 12 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 225.62 kg\n Factor of Safety: 0.27\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.62463809548544, + "fos_buckling": 0.2676749786189996, + "fos_yielding": 1.4549403355471495, + "deflection": 0.008133397526797873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.323)" + }, + "parent_node_id": "node_2217", + "improvement_over_parent": null + }, + "node_2219": { + "node_id": "node_2219", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.57 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.57458046922295, + "fos_buckling": 1.5408383742404053, + "fos_yielding": 2.6497005368863054, + "deflection": 0.003959299797634934, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_2218", + "improvement_over_parent": null + }, + "node_2220": { + "node_id": "node_2220", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2219", + "improvement_over_parent": null + }, + "node_2221": { + "node_id": "node_2221", + "content": "INITIAL DESIGN (Trace 320)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 126.09 kg\n Factor of Safety: 0.58\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.09481896755167, + "fos_buckling": 0.5849858216170825, + "fos_yielding": 1.4306952961391082, + "deflection": 0.008811775956554654, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2222": { + "node_id": "node_2222", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 157.86 kg\n Factor of Safety: 0.71\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.86211284837674, + "fos_buckling": 0.7132845640715336, + "fos_yielding": 1.7880700461736525, + "deflection": 0.007054026599175504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_2221", + "improvement_over_parent": null + }, + "node_2223": { + "node_id": "node_2223", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n\nPerformance:\n Mass: 163.71 kg\n Factor of Safety: 0.71\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.70732288926885, + "fos_buckling": 0.7130440036198286, + "fos_yielding": 1.7874696047109369, + "deflection": 0.006573447852950387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002362)" + }, + "parent_node_id": "node_2222", + "improvement_over_parent": null + }, + "node_2224": { + "node_id": "node_2224", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n\nPerformance:\n Mass: 192.28 kg\n Factor of Safety: 0.82\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.28162088552938, + "fos_buckling": 0.818057096234929, + "fos_yielding": 2.0962302132732695, + "deflection": 0.005605539599673778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2223", + "improvement_over_parent": null + }, + "node_2225": { + "node_id": "node_2225", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 208.08 kg\n Factor of Safety: 1.04\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.07717910167162, + "fos_buckling": 1.0434849219553677, + "fos_yielding": 2.1300007865281185, + "deflection": 0.005126139176052838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003839)" + }, + "parent_node_id": "node_2224", + "improvement_over_parent": null + }, + "node_2226": { + "node_id": "node_2226", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n Mass: 224.79 kg\n Factor of Safety: 1.38\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.79017557602722, + "fos_buckling": 1.3816937770416262, + "fos_yielding": 2.3250140382611684, + "deflection": 0.004533985050801048, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003949)" + }, + "parent_node_id": "node_2225", + "improvement_over_parent": null + }, + "node_2227": { + "node_id": "node_2227", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n Mass: 225.60 kg\n Factor of Safety: 1.38\n Max Deflection: 4.51e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.60499653877767, + "fos_buckling": 1.3817780138904265, + "fos_yielding": 2.324543059298487, + "deflection": 0.00451164390072212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.217)" + }, + "parent_node_id": "node_2226", + "improvement_over_parent": null + }, + "node_2228": { + "node_id": "node_2228", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.64 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6371116895251, + "fos_buckling": 1.5413608699505492, + "fos_yielding": 2.650706670783001, + "deflection": 0.003958012194902504, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_2227", + "improvement_over_parent": null + }, + "node_2229": { + "node_id": "node_2229", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2228", + "improvement_over_parent": null + }, + "node_2230": { + "node_id": "node_2230", + "content": "INITIAL DESIGN (Trace 321)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 162.41 kg\n Factor of Safety: 0.05\n Max Deflection: 7.66e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.41319297619964, + "fos_buckling": 0.047883287121758475, + "fos_yielding": 0.21939578334432475, + "deflection": 76585668222555.81, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2231": { + "node_id": "node_2231", + "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 163.99 kg\n Factor of Safety: 0.15\n Max Deflection: 8.08e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.99035904021636, + "fos_buckling": 0.15050454341164252, + "fos_yielding": 1.1701108445030652, + "deflection": 8083121631787.7295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.220)" + }, + "parent_node_id": "node_2230", + "improvement_over_parent": null + }, + "node_2232": { + "node_id": "node_2232", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 182.97 kg\n Factor of Safety: 0.06\n Max Deflection: 1.20e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.9712045997776, + "fos_buckling": 0.0585295446600832, + "fos_yielding": 0.7602919033114739, + "deflection": 12013314344263.31, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004293)" + }, + "parent_node_id": "node_2231", + "improvement_over_parent": null + }, + "node_2233": { + "node_id": "node_2233", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 202.15 kg\n Factor of Safety: 0.07\n Max Deflection: 2.78e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.15068129464177, + "fos_buckling": 0.07151325348288207, + "fos_yielding": 0.41987346530455066, + "deflection": 27827352857626.54, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_2232", + "improvement_over_parent": null + }, + "node_2234": { + "node_id": "node_2234", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 234.10 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.10062366837928, + "fos_buckling": 1.1635737504664125, + "fos_yielding": 2.4295007852502084, + "deflection": 0.004477023609363254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_2233", + "improvement_over_parent": null + }, + "node_2235": { + "node_id": "node_2235", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 235.68 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.6814066966773, + "fos_buckling": 1.163486581291873, + "fos_yielding": 2.429318779100699, + "deflection": 0.004477209361095063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.506)" + }, + "parent_node_id": "node_2234", + "improvement_over_parent": null + }, + "node_2236": { + "node_id": "node_2236", + "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 238.56 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.55585392490718, + "fos_buckling": 1.163486581291873, + "fos_yielding": 2.429318779100699, + "deflection": 0.004477209361095063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.368)" + }, + "parent_node_id": "node_2235", + "improvement_over_parent": null + }, + "node_2237": { + "node_id": "node_2237", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.65 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.64559769971464, + "fos_buckling": 1.5408460994993343, + "fos_yielding": 2.6523523534528284, + "deflection": 0.003957738922699669, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_2236", + "improvement_over_parent": null + }, + "node_2238": { + "node_id": "node_2238", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2237", + "improvement_over_parent": null + }, + "node_2239": { + "node_id": "node_2239", + "content": "INITIAL DESIGN (Trace 322)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0010)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 132.75 kg\n Factor of Safety: 0.72\n Max Deflection: 8.21e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.7496702340364, + "fos_buckling": 0.7197511898497913, + "fos_yielding": 1.121329249427583, + "deflection": 0.008206923068876939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2240": { + "node_id": "node_2240", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 152.21 kg\n Factor of Safety: 0.81\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.21019951934494, + "fos_buckling": 0.8128863056359908, + "fos_yielding": 1.2864536342998854, + "deflection": 0.007163985235979156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2239", + "improvement_over_parent": null + }, + "node_2241": { + "node_id": "node_2241", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 184.87 kg\n Factor of Safety: 0.96\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.86664551020598, + "fos_buckling": 0.9621308528272288, + "fos_yielding": 1.5641254938244655, + "deflection": 0.005907147555797123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_2240", + "improvement_over_parent": null + }, + "node_2242": { + "node_id": "node_2242", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 232.78 kg\n Factor of Safety: 1.17\n Max Deflection: 4.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.78229316733865, + "fos_buckling": 1.1652171825221855, + "fos_yielding": 1.973090211228278, + "deflection": 0.004701149589427373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2241", + "improvement_over_parent": null + }, + "node_2243": { + "node_id": "node_2243", + "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 235.16 kg\n Factor of Safety: 1.17\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.15843805157164, + "fos_buckling": 1.165129687410805, + "fos_yielding": 1.9729420536569815, + "deflection": 0.004685100769831083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.610)" + }, + "parent_node_id": "node_2242", + "improvement_over_parent": null + }, + "node_2244": { + "node_id": "node_2244", + "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 236.74 kg\n Factor of Safety: 1.17\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.74088918630721, + "fos_buckling": 1.165042296301967, + "fos_yielding": 2.2275125017562916, + "deflection": 0.004600800371674145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.256)" + }, + "parent_node_id": "node_2243", + "improvement_over_parent": null + }, + "node_2245": { + "node_id": "node_2245", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 255.83 kg\n Factor of Safety: 1.54\n Max Deflection: 4.09e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.83063296111467, + "fos_buckling": 1.5375852077031698, + "fos_yielding": 2.1480729073764753, + "deflection": 0.004092324136508586, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_2244", + "improvement_over_parent": null + }, + "node_2246": { + "node_id": "node_2246", + "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.88 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.88083706935674, + "fos_buckling": 1.5424326520608782, + "fos_yielding": 2.655216134016695, + "deflection": 0.003953989748365669, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.271)" + }, + "parent_node_id": "node_2245", + "improvement_over_parent": null + }, + "node_2247": { + "node_id": "node_2247", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2246", + "improvement_over_parent": null + }, + "node_2248": { + "node_id": "node_2248", + "content": "INITIAL DESIGN (Trace 323)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0010)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0012)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0016)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 124.77 kg\n Factor of Safety: 0.68\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.76577594314766, + "fos_buckling": 0.6796256767704829, + "fos_yielding": 1.3552430988807391, + "deflection": 0.00808863189857682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2249": { + "node_id": "node_2249", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 164.06 kg\n Factor of Safety: 0.88\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.0577517299399, + "fos_buckling": 0.8795010770519393, + "fos_yielding": 1.7779522771930174, + "deflection": 0.0061645555105814915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_2248", + "improvement_over_parent": null + }, + "node_2250": { + "node_id": "node_2250", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 196.06 kg\n Factor of Safety: 1.04\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.06490020420688, + "fos_buckling": 1.0372349287724418, + "fos_yielding": 2.1208085972481556, + "deflection": 0.005167166504432743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2249", + "improvement_over_parent": null + }, + "node_2251": { + "node_id": "node_2251", + "content": "MODIFICATION: Increase 18 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 201.33 kg\n Factor of Safety: 1.01\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.33172948219465, + "fos_buckling": 1.0073681276735813, + "fos_yielding": 2.127113851530944, + "deflection": 0.005037440065073564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.493)" + }, + "parent_node_id": "node_2250", + "improvement_over_parent": null + }, + "node_2252": { + "node_id": "node_2252", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.21 kg\n Factor of Safety: 1.23\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.20553875619134, + "fos_buckling": 1.2346299049759508, + "fos_yielding": 2.6573607581527754, + "deflection": 0.004033119475251495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_2251", + "improvement_over_parent": null + }, + "node_2253": { + "node_id": "node_2253", + "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.10 kg\n Factor of Safety: 1.24\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.1005511996619, + "fos_buckling": 1.235591867598423, + "fos_yielding": 2.649071648561626, + "deflection": 0.003987190660489735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.565)" + }, + "parent_node_id": "node_2252", + "improvement_over_parent": null + }, + "node_2254": { + "node_id": "node_2254", + "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5863521867992, + "fos_buckling": 1.5411386558038576, + "fos_yielding": 2.6498956186562665, + "deflection": 0.003959078786879105, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.504)" + }, + "parent_node_id": "node_2253", + "improvement_over_parent": null + }, + "node_2255": { + "node_id": "node_2255", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2254", + "improvement_over_parent": null + }, + "node_2256": { + "node_id": "node_2256", + "content": "INITIAL DESIGN (Trace 324)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 215.39 kg\n Factor of Safety: 1.13\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.39025893750596, + "fos_buckling": 1.1345132537806566, + "fos_yielding": 2.00208416500412, + "deflection": 0.004803761677901918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2257": { + "node_id": "node_2257", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 216.18 kg\n Factor of Safety: 1.14\n Max Deflection: 4.79e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.18135711922747, + "fos_buckling": 1.1388667256398182, + "fos_yielding": 2.000319677193747, + "deflection": 0.004788015419298583, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.236)" + }, + "parent_node_id": "node_2256", + "improvement_over_parent": null + }, + "node_2258": { + "node_id": "node_2258", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 244.43 kg\n Factor of Safety: 1.27\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.43214343120903, + "fos_buckling": 1.2720843818494902, + "fos_yielding": 2.262092347233894, + "deflection": 0.004239911075890951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_2257", + "improvement_over_parent": null + }, + "node_2259": { + "node_id": "node_2259", + "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.30 kg\n Factor of Safety: 1.46\n Max Deflection: 4.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.30007631226138, + "fos_buckling": 1.460000894173124, + "fos_yielding": 2.2779011849457196, + "deflection": 0.004183220220440737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.443)" + }, + "parent_node_id": "node_2258", + "improvement_over_parent": null + }, + "node_2260": { + "node_id": "node_2260", + "content": "MODIFICATION: Increase 19 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 253.91 kg\n Factor of Safety: 1.54\n Max Deflection: 4.11e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 253.91455928936148, + "fos_buckling": 1.5384642254277767, + "fos_yielding": 2.2796090262246103, + "deflection": 0.004109409352891946, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.637)" + }, + "parent_node_id": "node_2259", + "improvement_over_parent": null + }, + "node_2261": { + "node_id": "node_2261", + "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.05 kg\n Factor of Safety: 1.54\n Max Deflection: 4.05e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.04715864474286, + "fos_buckling": 1.537446796680405, + "fos_yielding": 2.2851015401908215, + "deflection": 0.0040536663980121745, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.376)" + }, + "parent_node_id": "node_2260", + "improvement_over_parent": null + }, + "node_2262": { + "node_id": "node_2262", + "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5156168212036, + "fos_buckling": 1.5407070307701516, + "fos_yielding": 2.6483302580706587, + "deflection": 0.003960310096065831, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.182)" + }, + "parent_node_id": "node_2261", + "improvement_over_parent": null + }, + "node_2263": { + "node_id": "node_2263", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2262", + "improvement_over_parent": null + }, + "node_2264": { + "node_id": "node_2264", + "content": "INITIAL DESIGN (Trace 325)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 123.38 kg\n Factor of Safety: 0.20\n Max Deflection: 3.97e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.37540789077983, + "fos_buckling": 0.19720644133408938, + "fos_yielding": 0.6134807374300583, + "deflection": 0.03970948174951259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2265": { + "node_id": "node_2265", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n\nPerformance:\n Mass: 127.89 kg\n Factor of Safety: 0.26\n Max Deflection: 8.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.88798455381655, + "fos_buckling": 0.25803194107400423, + "fos_yielding": 1.1913794524573638, + "deflection": 0.008653279619214362, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002010)" + }, + "parent_node_id": "node_2264", + "improvement_over_parent": null + }, + "node_2266": { + "node_id": "node_2266", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n\nPerformance:\n Mass: 152.02 kg\n Factor of Safety: 0.30\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.02225471342592, + "fos_buckling": 0.3020845302430082, + "fos_yielding": 1.4186769482353898, + "deflection": 0.007287891235550543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2265", + "improvement_over_parent": null + }, + "node_2267": { + "node_id": "node_2267", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n Mass: 170.19 kg\n Factor of Safety: 0.33\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.1946858618581, + "fos_buckling": 0.3342752901372583, + "fos_yielding": 1.5904425974995349, + "deflection": 0.006515347008185051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_2266", + "improvement_over_parent": null + }, + "node_2268": { + "node_id": "node_2268", + "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n Mass: 172.12 kg\n Factor of Safety: 0.34\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.12098827141568, + "fos_buckling": 0.3428625993754062, + "fos_yielding": 1.732834787747235, + "deflection": 0.00641599359825762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.527)" + }, + "parent_node_id": "node_2267", + "improvement_over_parent": null + }, + "node_2269": { + "node_id": "node_2269", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n Mass: 210.69 kg\n Factor of Safety: 0.41\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.68915772548138, + "fos_buckling": 0.4092523922232156, + "fos_yielding": 2.11770281578259, + "deflection": 0.00525166339626205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2268", + "improvement_over_parent": null + }, + "node_2270": { + "node_id": "node_2270", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n Mass: 219.18 kg\n Factor of Safety: 1.35\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.17898099431625, + "fos_buckling": 1.3486844144225172, + "fos_yielding": 2.25878623391057, + "deflection": 0.004642552298088382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003072)" + }, + "parent_node_id": "node_2269", + "improvement_over_parent": null + }, + "node_2271": { + "node_id": "node_2271", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.49 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4915522882588, + "fos_buckling": 1.5406681539661657, + "fos_yielding": 2.648985058800205, + "deflection": 0.003960514678004379, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 326)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 133.44 kg\n Factor of Safety: 0.57\n Max Deflection: 8.21e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.44007122336842, + "fos_buckling": 0.5684700383324799, + "fos_yielding": 1.4775689764946576, + "deflection": 0.0082101965915778, + "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 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 147.98 kg\n Factor of Safety: 0.62\n Max Deflection: 7.41e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.98480585878653, + "fos_buckling": 0.6232143884007647, + "fos_yielding": 1.637498470790284, + "deflection": 0.007409285584487164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_2273", + "improvement_over_parent": null + }, + "node_2275": { + "node_id": "node_2275", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 184.73 kg\n Factor of Safety: 0.76\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.73385676417388, + "fos_buckling": 0.7553063601978565, + "fos_yielding": 2.0406023152468324, + "deflection": 0.005947547973279178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2274", + "improvement_over_parent": null + }, + "node_2276": { + "node_id": "node_2276", + "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 186.98 kg\n Factor of Safety: 0.76\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.98097945461294, + "fos_buckling": 0.7551125495928787, + "fos_yielding": 2.058624848658148, + "deflection": 0.005845473187069992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.435)" + }, + "parent_node_id": "node_2275", + "improvement_over_parent": null + }, + "node_2277": { + "node_id": "node_2277", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.61 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.61410752333546, + "fos_buckling": 0.9269559868557862, + "fos_yielding": 2.63151752027116, + "deflection": 0.0045758795925187196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_2276", + "improvement_over_parent": null + }, + "node_2278": { + "node_id": "node_2278", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.60347208999536, + "fos_buckling": 1.541238402731344, + "fos_yielding": 2.6502016524552374, + "deflection": 0.003958736683772001, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_2277", + "improvement_over_parent": null + }, + "node_2279": { + "node_id": "node_2279", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2278", + "improvement_over_parent": null + }, + "node_2280": { + "node_id": "node_2280", + "content": "INITIAL DESIGN (Trace 327)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 134.01 kg\n Factor of Safety: 0.20\n Max Deflection: 3.47e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.00969651907852, + "fos_buckling": 0.1995306448374811, + "fos_yielding": 0.2659428378122121, + "deflection": 34688709136695.633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2281": { + "node_id": "node_2281", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n\nPerformance:\n Mass: 155.42 kg\n Factor of Safety: 0.83\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.42456577334724, + "fos_buckling": 0.8293447994720275, + "fos_yielding": 1.6336012343781243, + "deflection": 0.0067041145221253375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003837)" + }, + "parent_node_id": "node_2280", + "improvement_over_parent": null + }, + "node_2282": { + "node_id": "node_2282", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n\nPerformance:\n Mass: 175.76 kg\n Factor of Safety: 0.92\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.7643761354209, + "fos_buckling": 0.9230734976989853, + "fos_yielding": 1.8457823392407304, + "deflection": 0.005936071960404257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_2281", + "improvement_over_parent": null + }, + "node_2283": { + "node_id": "node_2283", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n Mass: 201.58 kg\n Factor of Safety: 1.04\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.5806540075069, + "fos_buckling": 1.0371464743639227, + "fos_yielding": 2.1145635763671637, + "deflection": 0.005184444177032035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_2282", + "improvement_over_parent": null + }, + "node_2284": { + "node_id": "node_2284", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n Mass: 207.28 kg\n Factor of Safety: 1.04\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.2829976569042, + "fos_buckling": 1.036678706286166, + "fos_yielding": 2.1136098775754686, + "deflection": 0.0051434198380809135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002297)" + }, + "parent_node_id": "node_2283", + "improvement_over_parent": null + }, + "node_2285": { + "node_id": "node_2285", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n Mass: 223.87 kg\n Factor of Safety: 1.37\n Max Deflection: 4.55e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.87490667896373, + "fos_buckling": 1.3728538840482374, + "fos_yielding": 2.306695230265297, + "deflection": 0.004546347761000776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003918)" + }, + "parent_node_id": "node_2284", + "improvement_over_parent": null + }, + "node_2286": { + "node_id": "node_2286", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.70 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.70022089944496, + "fos_buckling": 1.5416139743878245, + "fos_yielding": 2.6511171392049113, + "deflection": 0.003957307807977202, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_2285", + "improvement_over_parent": null + }, + "node_2287": { + "node_id": "node_2287", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2286", + "improvement_over_parent": null + }, + "node_2288": { + "node_id": "node_2288", + "content": "INITIAL DESIGN (Trace 328)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 182.91 kg\n Factor of Safety: 0.76\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.90767031232735, + "fos_buckling": 0.7629562272286252, + "fos_yielding": 1.932642077649331, + "deflection": 0.005739587038806241, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2289": { + "node_id": "node_2289", + "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 186.77 kg\n Factor of Safety: 0.76\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.76551221633977, + "fos_buckling": 0.7628713768543057, + "fos_yielding": 1.9324281093096614, + "deflection": 0.005693835811523591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.359)" + }, + "parent_node_id": "node_2288", + "improvement_over_parent": null + }, + "node_2290": { + "node_id": "node_2290", + "content": "MODIFICATION: Increase 11 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 188.57 kg\n Factor of Safety: 0.76\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.57183889672777, + "fos_buckling": 0.7629508339266012, + "fos_yielding": 1.9322277828690488, + "deflection": 0.0055753929541229996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.546)" + }, + "parent_node_id": "node_2289", + "improvement_over_parent": null + }, + "node_2291": { + "node_id": "node_2291", + "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 193.31 kg\n Factor of Safety: 0.76\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.31119666733403, + "fos_buckling": 0.7628465993863538, + "fos_yielding": 1.9319650421438006, + "deflection": 0.005460461876656806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.242)" + }, + "parent_node_id": "node_2290", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.61 kg\n Factor of Safety: 0.91\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.61323495593734, + "fos_buckling": 0.9126040367201999, + "fos_yielding": 2.389151828790549, + "deflection": 0.004416626696459287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_2291", + "improvement_over_parent": null + }, + "node_2293": { + "node_id": "node_2293", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.655771158685, + "fos_buckling": 1.5415619751465421, + "fos_yielding": 2.650783730175897, + "deflection": 0.003957872311100737, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_2292", + "improvement_over_parent": null + }, + "node_2294": { + "node_id": "node_2294", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2293", + "improvement_over_parent": null + }, + "node_2295": { + "node_id": "node_2295", + "content": "INITIAL DESIGN (Trace 329)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n\nPerformance:\n Mass: 116.10 kg\n Factor of Safety: 0.37\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 116.09611343551246, + "fos_buckling": 0.37202103002210285, + "fos_yielding": 1.2249734570648116, + "deflection": 0.011074489601020358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2296": { + "node_id": "node_2296", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 126.76 kg\n Factor of Safety: 0.64\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.76479073922927, + "fos_buckling": 0.6396066079249949, + "fos_yielding": 1.2247660045108606, + "deflection": 0.008864077544919392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002309)" + }, + "parent_node_id": "node_2295", + "improvement_over_parent": null + }, + "node_2297": { + "node_id": "node_2297", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0010)]\n\nPerformance:\n Mass: 128.47 kg\n Factor of Safety: 0.70\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.47065804757426, + "fos_buckling": 0.6971443140342212, + "fos_yielding": 1.3402191746029604, + "deflection": 0.00788225155552149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.000983)" + }, + "parent_node_id": "node_2296", + "improvement_over_parent": null + }, + "node_2298": { + "node_id": "node_2298", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0012)]\n\nPerformance:\n Mass: 155.06 kg\n Factor of Safety: 0.83\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.06448035017877, + "fos_buckling": 0.8326197587749181, + "fos_yielding": 1.6155815821883692, + "deflection": 0.006540401741503545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2297", + "improvement_over_parent": null + }, + "node_2299": { + "node_id": "node_2299", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n\nPerformance:\n Mass: 203.06 kg\n Factor of Safety: 1.07\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.05522424089804, + "fos_buckling": 1.0693962348768653, + "fos_yielding": 2.110706705652085, + "deflection": 0.005008353717913769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2298", + "improvement_over_parent": null + }, + "node_2300": { + "node_id": "node_2300", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n\nPerformance:\n Mass: 256.16 kg\n Factor of Safety: 1.32\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.15916767430326, + "fos_buckling": 1.3198072718194496, + "fos_yielding": 2.6559040138560057, + "deflection": 0.00398211625685321, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_2299", + "improvement_over_parent": null + }, + "node_2301": { + "node_id": "node_2301", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0063)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n\nPerformance:\n Mass: 260.24 kg\n Factor of Safety: 1.33\n Max Deflection: 3.86e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.2366359782518, + "fos_buckling": 1.334794223526606, + "fos_yielding": 2.680915967498757, + "deflection": 0.003862494923895749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.493)" + }, + "parent_node_id": "node_2300", + "improvement_over_parent": null + }, + "node_2302": { + "node_id": "node_2302", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2301", + "improvement_over_parent": null + }, + "node_2303": { + "node_id": "node_2303", + "content": "INITIAL DESIGN (Trace 330)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 155.17 kg\n Factor of Safety: 0.07\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": 155.17144002239664, + "fos_buckling": 0.0663153922487189, + "fos_yielding": 0.8310117562868765, + "deflection": 0.014838503855895127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2304": { + "node_id": "node_2304", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n\nPerformance:\n Mass: 169.83 kg\n Factor of Safety: 0.26\n Max Deflection: 7.67e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.82724505255408, + "fos_buckling": 0.257553606846362, + "fos_yielding": 1.6931413009404623, + "deflection": 0.007674307251649996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003251)" + }, + "parent_node_id": "node_2303", + "improvement_over_parent": null + }, + "node_2305": { + "node_id": "node_2305", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n\nPerformance:\n Mass: 176.80 kg\n Factor of Safety: 0.69\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.80138756317163, + "fos_buckling": 0.6865376110363278, + "fos_yielding": 1.8456059609064879, + "deflection": 0.0065201910987069895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002488)" + }, + "parent_node_id": "node_2304", + "improvement_over_parent": null + }, + "node_2306": { + "node_id": "node_2306", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n Mass: 216.24 kg\n Factor of Safety: 0.81\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.2363891594995, + "fos_buckling": 0.8147285807359477, + "fos_yielding": 2.2531404973606817, + "deflection": 0.005343653101573703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_2305", + "improvement_over_parent": null + }, + "node_2307": { + "node_id": "node_2307", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 252.66 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.65693054312524, + "fos_buckling": 0.9252007557809754, + "fos_yielding": 2.6282027026358734, + "deflection": 0.004583283126712419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_2306", + "improvement_over_parent": null + }, + "node_2308": { + "node_id": "node_2308", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.3737497924868, + "fos_buckling": 1.5400431432467148, + "fos_yielding": 2.6477278243889186, + "deflection": 0.003962283687255304, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_2307", + "improvement_over_parent": null + }, + "node_2309": { + "node_id": "node_2309", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2308", + "improvement_over_parent": null + }, + "node_2310": { + "node_id": "node_2310", + "content": "INITIAL DESIGN (Trace 331)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 178.61 kg\n Factor of Safety: 0.18\n Max Deflection: 4.02e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.6095333393043, + "fos_buckling": 0.17907248429915673, + "fos_yielding": 0.314905098978413, + "deflection": 40184966535375.55, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2311": { + "node_id": "node_2311", + "content": "MODIFICATION: Increase 2 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 181.35 kg\n Factor of Safety: 0.97\n Max Deflection: 1.87e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.35434863445528, + "fos_buckling": 0.9681513494279781, + "fos_yielding": 1.6794938612182027, + "deflection": 1868527021384.751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.647)" + }, + "parent_node_id": "node_2310", + "improvement_over_parent": null + }, + "node_2312": { + "node_id": "node_2312", + "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 184.52 kg\n Factor of Safety: 0.97\n Max Deflection: 1.87e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.51543437534357, + "fos_buckling": 0.9681513494279781, + "fos_yielding": 1.6794938612182027, + "deflection": 1868527021384.751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.562)" + }, + "parent_node_id": "node_2311", + "improvement_over_parent": null + }, + "node_2313": { + "node_id": "node_2313", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 190.82 kg\n Factor of Safety: 0.82\n Max Deflection: 1.20e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.82092667820368, + "fos_buckling": 0.8173755277017075, + "fos_yielding": 1.6794938612182027, + "deflection": 1196866529574.7246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002562)" + }, + "parent_node_id": "node_2312", + "improvement_over_parent": null + }, + "node_2314": { + "node_id": "node_2314", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 237.23 kg\n Factor of Safety: 1.05\n Max Deflection: 6.87e+11 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.22535162340645, + "fos_buckling": 1.0526998863726629, + "fos_yielding": 2.614575085344399, + "deflection": 686587532626.3787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_2313", + "improvement_over_parent": null + }, + "node_2315": { + "node_id": "node_2315", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n\nPerformance:\n Mass: 242.12 kg\n Factor of Safety: 0.95\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.1225908461583, + "fos_buckling": 0.9513454585785702, + "fos_yielding": 2.517296046834767, + "deflection": 0.004897317757217063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001950)" + }, + "parent_node_id": "node_2314", + "improvement_over_parent": null + }, + "node_2316": { + "node_id": "node_2316", + "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0066)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n\nPerformance:\n Mass: 248.95 kg\n Factor of Safety: 0.95\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.9455824017523, + "fos_buckling": 0.9510340973284942, + "fos_yielding": 2.5158223071827766, + "deflection": 0.004814059815348958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.372)" + }, + "parent_node_id": "node_2315", + "improvement_over_parent": null + }, + "node_2317": { + "node_id": "node_2317", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0066)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 262.70 kg\n Factor of Safety: 1.54\n Max Deflection: 3.89e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 262.6950508679397, + "fos_buckling": 1.5374873290734947, + "fos_yielding": 2.6624189124863626, + "deflection": 0.003886131676305023, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 332)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 204.79 kg\n Factor of Safety: 0.59\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.7892291341254, + "fos_buckling": 0.5949884106711839, + "fos_yielding": 2.175329634814881, + "deflection": 0.005313510563509115, + "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 0 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 205.94 kg\n Factor of Safety: 0.63\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.9379168950923, + "fos_buckling": 0.6327664244745186, + "fos_yielding": 2.232455584006828, + "deflection": 0.005287789607410554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.203)" + }, + "parent_node_id": "node_2319", + "improvement_over_parent": null + }, + "node_2321": { + "node_id": "node_2321", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n\nPerformance:\n Mass: 212.77 kg\n Factor of Safety: 0.83\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.76604490834504, + "fos_buckling": 0.8274208082341143, + "fos_yielding": 2.2831752178376323, + "deflection": 0.0054283836308189936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002792)" + }, + "parent_node_id": "node_2320", + "improvement_over_parent": null + }, + "node_2322": { + "node_id": "node_2322", + "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n\nPerformance:\n Mass: 214.23 kg\n Factor of Safety: 0.83\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.22951170783588, + "fos_buckling": 0.8273863224376323, + "fos_yielding": 2.279513335618496, + "deflection": 0.005400154795537616, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.546)" + }, + "parent_node_id": "node_2321", + "improvement_over_parent": null + }, + "node_2323": { + "node_id": "node_2323", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 246.08 kg\n Factor of Safety: 0.93\n Max Deflection: 4.71e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.07916282336313, + "fos_buckling": 0.9261600914942195, + "fos_yielding": 2.6140852884756813, + "deflection": 0.0047096530388326665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_2322", + "improvement_over_parent": null + }, + "node_2324": { + "node_id": "node_2324", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 250.80 kg\n Factor of Safety: 1.31\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.7959820727247, + "fos_buckling": 1.3051368350440835, + "fos_yielding": 2.6392047460862353, + "deflection": 0.00405996205691869, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_2323", + "improvement_over_parent": null + }, + "node_2325": { + "node_id": "node_2325", + "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 254.25 kg\n Factor of Safety: 1.32\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.25404949009697, + "fos_buckling": 1.3175856847530787, + "fos_yielding": 2.6602261205545275, + "deflection": 0.003996866905271515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.546)" + }, + "parent_node_id": "node_2324", + "improvement_over_parent": null + }, + "node_2326": { + "node_id": "node_2326", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0056)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 258.66 kg\n Factor of Safety: 1.32\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.65762126866883, + "fos_buckling": 1.318185432267532, + "fos_yielding": 2.6612462257857556, + "deflection": 0.003964286264675849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.471)" + }, + "parent_node_id": "node_2325", + "improvement_over_parent": null + }, + "node_2327": { + "node_id": "node_2327", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2326", + "improvement_over_parent": null + }, + "node_2328": { + "node_id": "node_2328", + "content": "INITIAL DESIGN (Trace 333)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 179.91 kg\n Factor of Safety: 1.12\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.9114550395061, + "fos_buckling": 1.1186839832083366, + "fos_yielding": 1.9195183029200658, + "deflection": 0.005582911270054458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2329": { + "node_id": "node_2329", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 205.18 kg\n Factor of Safety: 1.25\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.17983980687978, + "fos_buckling": 1.2526789351883518, + "fos_yielding": 2.186069202421448, + "deflection": 0.004902717788159249, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_2328", + "improvement_over_parent": null + }, + "node_2330": { + "node_id": "node_2330", + "content": "MODIFICATION: Increase 14 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 211.01 kg\n Factor of Safety: 1.31\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.00616329352465, + "fos_buckling": 1.3060161174240683, + "fos_yielding": 2.1754917025375087, + "deflection": 0.004819922190092718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.639)" + }, + "parent_node_id": "node_2329", + "improvement_over_parent": null + }, + "node_2331": { + "node_id": "node_2331", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.50876486215924, + "fos_buckling": 1.5406985841872893, + "fos_yielding": 2.6493024036517236, + "deflection": 0.0039601135252204395, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2330", + "improvement_over_parent": null + }, + "node_2332": { + "node_id": "node_2332", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2331", + "improvement_over_parent": null + }, + "node_2333": { + "node_id": "node_2333", + "content": "INITIAL DESIGN (Trace 334)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 182.24 kg\n Factor of Safety: 0.35\n Max Deflection: 4.21e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.24033789188672, + "fos_buckling": 0.34818382856075986, + "fos_yielding": 2.119196129007686, + "deflection": 4206419849046.863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2334": { + "node_id": "node_2334", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 188.53 kg\n Factor of Safety: 0.22\n Max Deflection: 4.83e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.53438908024617, + "fos_buckling": 0.21990557593311147, + "fos_yielding": 1.3384396604259068, + "deflection": 4828417434206.233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002557)" + }, + "parent_node_id": "node_2333", + "improvement_over_parent": null + }, + "node_2335": { + "node_id": "node_2335", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n Mass: 196.21 kg\n Factor of Safety: 0.77\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.21361882801853, + "fos_buckling": 0.7731104889733218, + "fos_yielding": 2.1885441052847403, + "deflection": 0.005625166427173881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003334)" + }, + "parent_node_id": "node_2334", + "improvement_over_parent": null + }, + "node_2336": { + "node_id": "node_2336", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n Mass: 201.48 kg\n Factor of Safety: 0.77\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.47993331729978, + "fos_buckling": 0.7727622501949537, + "fos_yielding": 2.1215743682923454, + "deflection": 0.005729803893904605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002108)" + }, + "parent_node_id": "node_2335", + "improvement_over_parent": null + }, + "node_2337": { + "node_id": "node_2337", + "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n Mass: 203.00 kg\n Factor of Safety: 0.77\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.0034521258758, + "fos_buckling": 0.7727286855254826, + "fos_yielding": 2.116613160163978, + "deflection": 0.005687429095189419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.656)" + }, + "parent_node_id": "node_2336", + "improvement_over_parent": null + }, + "node_2338": { + "node_id": "node_2338", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n Mass: 206.79 kg\n Factor of Safety: 1.28\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.7920227103874, + "fos_buckling": 1.283821647487377, + "fos_yielding": 2.1323598766401033, + "deflection": 0.004917072554807653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002342)" + }, + "parent_node_id": "node_2337", + "improvement_over_parent": null + }, + "node_2339": { + "node_id": "node_2339", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.46 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4593032893174, + "fos_buckling": 1.5404773391261424, + "fos_yielding": 2.6486843977658756, + "deflection": 0.003960960682676463, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_2338", + "improvement_over_parent": null + }, + "node_2340": { + "node_id": "node_2340", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2339", + "improvement_over_parent": null + }, + "node_2341": { + "node_id": "node_2341", + "content": "INITIAL DESIGN (Trace 335)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0024)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n Mass: 112.34 kg\n Factor of Safety: 0.74\n Max Deflection: 9.00e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.34032162610902, + "fos_buckling": 0.7448142744410177, + "fos_yielding": 1.1634169359309587, + "deflection": 0.009001843419814404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2342": { + "node_id": "node_2342", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 144.69 kg\n Factor of Safety: 0.94\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.68803771347515, + "fos_buckling": 0.9383310678638885, + "fos_yielding": 1.4961933551211182, + "deflection": 0.007002438365786105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_2341", + "improvement_over_parent": null + }, + "node_2343": { + "node_id": "node_2343", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 181.96 kg\n Factor of Safety: 1.15\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.95614139997357, + "fos_buckling": 1.1497564854854225, + "fos_yielding": 1.8783664420082757, + "deflection": 0.00558022943206191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_2342", + "improvement_over_parent": null + }, + "node_2344": { + "node_id": "node_2344", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 205.33 kg\n Factor of Safety: 1.28\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.33083446989227, + "fos_buckling": 1.2760888921981142, + "fos_yielding": 2.1174021639418408, + "deflection": 0.004951664021108201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2343", + "improvement_over_parent": null + }, + "node_2345": { + "node_id": "node_2345", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.51189887218663, + "fos_buckling": 1.5407378157504874, + "fos_yielding": 2.6491802390507386, + "deflection": 0.0039601772757820895, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_2344", + "improvement_over_parent": null + }, + "node_2346": { + "node_id": "node_2346", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2345", + "improvement_over_parent": null + }, + "node_2347": { + "node_id": "node_2347", + "content": "INITIAL DESIGN (Trace 336)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 200.76 kg\n Factor of Safety: 0.63\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.75651778687, + "fos_buckling": 0.6260240345548738, + "fos_yielding": 2.160733155188986, + "deflection": 0.005869016247331535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2348": { + "node_id": "node_2348", + "content": "MODIFICATION: Increase 16 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 202.96 kg\n Factor of Safety: 0.63\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.96128318429822, + "fos_buckling": 0.62582727972235, + "fos_yielding": 2.157473039530916, + "deflection": 0.0058278659501783585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.189)" + }, + "parent_node_id": "node_2347", + "improvement_over_parent": null + }, + "node_2349": { + "node_id": "node_2349", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 248.13 kg\n Factor of Safety: 0.75\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.13300487088765, + "fos_buckling": 0.7470206568736167, + "fos_yielding": 2.631293552000347, + "deflection": 0.004777424043639829, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_2348", + "improvement_over_parent": null + }, + "node_2350": { + "node_id": "node_2350", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 252.85 kg\n Factor of Safety: 1.35\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.84982412024922, + "fos_buckling": 1.3518398158103504, + "fos_yielding": 2.6523759894770382, + "deflection": 0.004020021101449319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_2349", + "improvement_over_parent": null + }, + "node_2351": { + "node_id": "node_2351", + "content": "MODIFICATION: Increase 20 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0039)]\n\nPerformance:\n Mass: 254.17 kg\n Factor of Safety: 1.38\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.1740995148605, + "fos_buckling": 1.3761723248060278, + "fos_yielding": 2.652773670936642, + "deflection": 0.004003524903097378, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.319)" + }, + "parent_node_id": "node_2350", + "improvement_over_parent": null + }, + "node_2352": { + "node_id": "node_2352", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2351", + "improvement_over_parent": null + }, + "node_2353": { + "node_id": "node_2353", + "content": "INITIAL DESIGN (Trace 337)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 203.22 kg\n Factor of Safety: 0.22\n Max Deflection: 9.01e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.22087317650804, + "fos_buckling": 0.22227456609288468, + "fos_yielding": 1.3177389427568724, + "deflection": 0.009011973885125056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2354": { + "node_id": "node_2354", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 235.17 kg\n Factor of Safety: 1.19\n Max Deflection: 4.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.17081555024555, + "fos_buckling": 1.185773989713142, + "fos_yielding": 1.8650116765047189, + "deflection": 0.004354598507646124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_2353", + "improvement_over_parent": null + }, + "node_2355": { + "node_id": "node_2355", + "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 238.43 kg\n Factor of Safety: 1.19\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.42724956703762, + "fos_buckling": 1.1854140393047283, + "fos_yielding": 2.7212156545752952, + "deflection": 0.004057781732962925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.504)" + }, + "parent_node_id": "node_2354", + "improvement_over_parent": null + }, + "node_2356": { + "node_id": "node_2356", + "content": "MODIFICATION: Increase 18 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0055)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 247.22 kg\n Factor of Safety: 1.38\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.22136288580057, + "fos_buckling": 1.375880202024794, + "fos_yielding": 2.7205312443436975, + "deflection": 0.0039264416576363145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.639)" + }, + "parent_node_id": "node_2355", + "improvement_over_parent": null + }, + "node_2357": { + "node_id": "node_2357", + "content": "MODIFICATION: Increase 19 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0055)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0084)]\n\nPerformance:\n Mass: 259.04 kg\n Factor of Safety: 1.38\n Max Deflection: 3.83e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.04091793148496, + "fos_buckling": 1.3754079969485238, + "fos_yielding": 2.7196119183528653, + "deflection": 0.0038339064479561416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.425)" + }, + "parent_node_id": "node_2356", + "improvement_over_parent": null + }, + "node_2358": { + "node_id": "node_2358", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0055)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0084)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 265.60 kg\n Factor of Safety: 1.50\n Max Deflection: 3.90e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 265.59970611963456, + "fos_buckling": 1.502142932046081, + "fos_yielding": 2.6599201545925877, + "deflection": 0.003896299263679977, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 338)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 160.62 kg\n Factor of Safety: 0.32\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": 160.61602769468843, + "fos_buckling": 0.31863056174437476, + "fos_yielding": 0.9784053465975864, + "deflection": 0.01713725712904194, + "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 9 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 161.66 kg\n Factor of Safety: 0.32\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": 161.66089015192733, + "fos_buckling": 0.31859230330623284, + "fos_yielding": 0.978288125081176, + "deflection": 0.016791489052253025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.200)" + }, + "parent_node_id": "node_2360", + "improvement_over_parent": null + }, + "node_2362": { + "node_id": "node_2362", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 202.38 kg\n Factor of Safety: 0.39\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": 202.38369399468507, + "fos_buckling": 0.3867000139187829, + "fos_yielding": 1.2212126660289153, + "deflection": 0.013450871605149621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2361", + "improvement_over_parent": null + }, + "node_2363": { + "node_id": "node_2363", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 209.51 kg\n Factor of Safety: 1.29\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.51291213482745, + "fos_buckling": 1.2900316393107523, + "fos_yielding": 2.1963462781732153, + "deflection": 0.004820860430722001, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003264)" + }, + "parent_node_id": "node_2362", + "improvement_over_parent": null + }, + "node_2364": { + "node_id": "node_2364", + "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0040)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 212.22 kg\n Factor of Safety: 1.29\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.22455617817832, + "fos_buckling": 1.292232129559345, + "fos_yielding": 2.184569558395417, + "deflection": 0.004779335353503804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.263)" + }, + "parent_node_id": "node_2363", + "improvement_over_parent": null + }, + "node_2365": { + "node_id": "node_2365", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0049)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.03 kg\n Factor of Safety: 1.52\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.03418551917196, + "fos_buckling": 1.5152140069993607, + "fos_yielding": 2.6408013569478133, + "deflection": 0.003956243415027745, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2364", + "improvement_over_parent": null + }, + "node_2366": { + "node_id": "node_2366", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2365", + "improvement_over_parent": null + }, + "node_2367": { + "node_id": "node_2367", + "content": "INITIAL DESIGN (Trace 339)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 155.81 kg\n Factor of Safety: 0.64\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.81272685921442, + "fos_buckling": 0.6411080469780371, + "fos_yielding": 1.3547892011687503, + "deflection": 0.008302759347587155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2368": { + "node_id": "node_2368", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n\nPerformance:\n Mass: 158.86 kg\n Factor of Safety: 0.80\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.86044533531862, + "fos_buckling": 0.8023728350504197, + "fos_yielding": 1.2616788695403116, + "deflection": 0.0073612670945398745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001857)" + }, + "parent_node_id": "node_2367", + "improvement_over_parent": null + }, + "node_2369": { + "node_id": "node_2369", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n Mass: 162.09 kg\n Factor of Safety: 1.03\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.09225504721644, + "fos_buckling": 1.0347927314542875, + "fos_yielding": 1.27227430197479, + "deflection": 0.006552789764305608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001912)" + }, + "parent_node_id": "node_2368", + "improvement_over_parent": null + }, + "node_2370": { + "node_id": "node_2370", + "content": "MODIFICATION: Increase 17 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n Mass: 164.70 kg\n Factor of Safety: 1.05\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.70228718342423, + "fos_buckling": 1.0459489306199319, + "fos_yielding": 1.2682530097235032, + "deflection": 0.006511817280715008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.241)" + }, + "parent_node_id": "node_2369", + "improvement_over_parent": null + }, + "node_2371": { + "node_id": "node_2371", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0043)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 202.29 kg\n Factor of Safety: 1.25\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.29041137760544, + "fos_buckling": 1.2526336851932576, + "fos_yielding": 1.5624145786994372, + "deflection": 0.005308173428021533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_2370", + "improvement_over_parent": null + }, + "node_2372": { + "node_id": "node_2372", + "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0043)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 204.86 kg\n Factor of Safety: 1.24\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.86235918933454, + "fos_buckling": 1.2405567526594534, + "fos_yielding": 2.111211646882551, + "deflection": 0.0049716029765529334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.597)" + }, + "parent_node_id": "node_2371", + "improvement_over_parent": null + }, + "node_2373": { + "node_id": "node_2373", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0055)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.99 kg\n Factor of Safety: 1.51\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.9935186221108, + "fos_buckling": 1.506688316401769, + "fos_yielding": 2.652843460879889, + "deflection": 0.003959067107395578, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_2372", + "improvement_over_parent": null + }, + "node_2374": { + "node_id": "node_2374", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2373", + "improvement_over_parent": null + }, + "node_2375": { + "node_id": "node_2375", + "content": "INITIAL DESIGN (Trace 340)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 149.20 kg\n Factor of Safety: 0.80\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.19509921699523, + "fos_buckling": 0.7988103241418174, + "fos_yielding": 1.5660300945002161, + "deflection": 0.007136497309616781, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2376": { + "node_id": "node_2376", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 169.92 kg\n Factor of Safety: 0.90\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.92256056377244, + "fos_buckling": 0.8950768177694338, + "fos_yielding": 1.781657885041242, + "deflection": 0.006273480617907081, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2375", + "improvement_over_parent": null + }, + "node_2377": { + "node_id": "node_2377", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 209.12 kg\n Factor of Safety: 1.07\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.12254506437765, + "fos_buckling": 1.067432740037225, + "fos_yielding": 2.1881379016206846, + "deflection": 0.005109021632102053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_2376", + "improvement_over_parent": null + }, + "node_2378": { + "node_id": "node_2378", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n\nPerformance:\n Mass: 226.31 kg\n Factor of Safety: 1.15\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.3066421229195, + "fos_buckling": 1.1528133062783297, + "fos_yielding": 2.381688031753676, + "deflection": 0.004494262260978244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004070)" + }, + "parent_node_id": "node_2377", + "improvement_over_parent": null + }, + "node_2379": { + "node_id": "node_2379", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n\nPerformance:\n Mass: 227.40 kg\n Factor of Safety: 1.16\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.40178454343217, + "fos_buckling": 1.1628721015027073, + "fos_yielding": 2.379381218510833, + "deflection": 0.004426481728556087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.178)" + }, + "parent_node_id": "node_2378", + "improvement_over_parent": null + }, + "node_2380": { + "node_id": "node_2380", + "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n\nPerformance:\n Mass: 228.89 kg\n Factor of Safety: 1.16\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.88609832821905, + "fos_buckling": 1.1619190064813087, + "fos_yielding": 2.386232665385533, + "deflection": 0.004440463646681539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.289)" + }, + "parent_node_id": "node_2379", + "improvement_over_parent": null + }, + "node_2381": { + "node_id": "node_2381", + "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n\nPerformance:\n Mass: 231.81 kg\n Factor of Safety: 1.41\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.813755824004, + "fos_buckling": 1.413380525075214, + "fos_yielding": 2.3874772311067787, + "deflection": 0.00439272747489207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.468)" + }, + "parent_node_id": "node_2380", + "improvement_over_parent": null + }, + "node_2382": { + "node_id": "node_2382", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.34 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.34026442076663, + "fos_buckling": 1.5398913682120248, + "fos_yielding": 2.6472931329418854, + "deflection": 0.003962819914755052, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2381", + "improvement_over_parent": null + }, + "node_2383": { + "node_id": "node_2383", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2382", + "improvement_over_parent": null + }, + "node_2384": { + "node_id": "node_2384", + "content": "INITIAL DESIGN (Trace 341)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 189.91 kg\n Factor of Safety: 0.95\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.91482428660308, + "fos_buckling": 0.9516831980176319, + "fos_yielding": 1.9121706737521669, + "deflection": 0.005833681014859248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2385": { + "node_id": "node_2385", + "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 190.97 kg\n Factor of Safety: 0.95\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.97134505506878, + "fos_buckling": 0.951667280779729, + "fos_yielding": 1.912138692021704, + "deflection": 0.005798554664130405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.427)" + }, + "parent_node_id": "node_2384", + "improvement_over_parent": null + }, + "node_2386": { + "node_id": "node_2386", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.14 kg\n Factor of Safety: 1.16\n Max Deflection: 4.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.1398388732781, + "fos_buckling": 1.1632463111154072, + "fos_yielding": 2.427469087472971, + "deflection": 0.004569177856464324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2385", + "improvement_over_parent": null + }, + "node_2387": { + "node_id": "node_2387", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 248.14 kg\n Factor of Safety: 1.48\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.14306548194443, + "fos_buckling": 1.4803719793202736, + "fos_yielding": 2.6467231949771763, + "deflection": 0.004003792398323136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_2386", + "improvement_over_parent": null + }, + "node_2388": { + "node_id": "node_2388", + "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0048)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 250.61 kg\n Factor of Safety: 1.47\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.60845610869293, + "fos_buckling": 1.470555488711291, + "fos_yielding": 2.6473931456704225, + "deflection": 0.003981137362691979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.258)" + }, + "parent_node_id": "node_2387", + "improvement_over_parent": null + }, + "node_2389": { + "node_id": "node_2389", + "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0051)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0048)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 254.06 kg\n Factor of Safety: 1.48\n Max Deflection: 3.95e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.06448221547518, + "fos_buckling": 1.4822509374444817, + "fos_yielding": 2.658853462176286, + "deflection": 0.003947860704608611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.397)" + }, + "parent_node_id": "node_2388", + "improvement_over_parent": null + }, + "node_2390": { + "node_id": "node_2390", + "content": "MODIFICATION: Increase 17 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0051)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0048)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0074)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 263.96 kg\n Factor of Safety: 1.46\n Max Deflection: 3.86e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.9646906030922, + "fos_buckling": 1.4628029901363264, + "fos_yielding": 2.6621866960024594, + "deflection": 0.0038577237578713867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.550)" + }, + "parent_node_id": "node_2389", + "improvement_over_parent": null + }, + "node_2391": { + "node_id": "node_2391", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2390", + "improvement_over_parent": null + }, + "node_2392": { + "node_id": "node_2392", + "content": "INITIAL DESIGN (Trace 342)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n Mass: 165.08 kg\n Factor of Safety: 0.83\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.08445987938666, + "fos_buckling": 0.8307847050534803, + "fos_yielding": 1.6413493506562131, + "deflection": 0.006135736819185119, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2393": { + "node_id": "node_2393", + "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n Mass: 166.80 kg\n Factor of Safety: 0.86\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.79656777469307, + "fos_buckling": 0.8641443812624602, + "fos_yielding": 1.640352900186467, + "deflection": 0.006114612195903821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.645)" + }, + "parent_node_id": "node_2392", + "improvement_over_parent": null + }, + "node_2394": { + "node_id": "node_2394", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 199.29 kg\n Factor of Safety: 1.02\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.29237684817016, + "fos_buckling": 1.0170250115424844, + "fos_yielding": 1.96290051234443, + "deflection": 0.005126222156984361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2393", + "improvement_over_parent": null + }, + "node_2395": { + "node_id": "node_2395", + "content": "MODIFICATION: Increase 20 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 204.88 kg\n Factor of Safety: 0.98\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.88320774959655, + "fos_buckling": 0.9843764122707737, + "fos_yielding": 1.9636918328505586, + "deflection": 0.0050104864526712475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.513)" + }, + "parent_node_id": "node_2394", + "improvement_over_parent": null + }, + "node_2396": { + "node_id": "node_2396", + "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 206.74 kg\n Factor of Safety: 1.05\n Max Deflection: 4.94e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.73810828748475, + "fos_buckling": 1.0473277483825836, + "fos_yielding": 2.1423546922358865, + "deflection": 0.004937660449365915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.403)" + }, + "parent_node_id": "node_2395", + "improvement_over_parent": null + }, + "node_2397": { + "node_id": "node_2397", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 253.86 kg\n Factor of Safety: 1.26\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.8558530965515, + "fos_buckling": 1.264689955310025, + "fos_yielding": 2.625018091460217, + "deflection": 0.004031320580165776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_2396", + "improvement_over_parent": null + }, + "node_2398": { + "node_id": "node_2398", + "content": "MODIFICATION: Increase 10 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.43 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.43322657507366, + "fos_buckling": 1.5403266450613526, + "fos_yielding": 2.6483643252254905, + "deflection": 0.003961349910865332, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.613)" + }, + "parent_node_id": "node_2397", + "improvement_over_parent": null + }, + "node_2399": { + "node_id": "node_2399", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2398", + "improvement_over_parent": null + }, + "node_2400": { + "node_id": "node_2400", + "content": "INITIAL DESIGN (Trace 343)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 223.72 kg\n Factor of Safety: 0.61\n Max Deflection: 1.48e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.71718431869598, + "fos_buckling": 0.6142561893378831, + "fos_yielding": 1.8282638945888248, + "deflection": 1483984643669.508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2401": { + "node_id": "node_2401", + "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 225.03 kg\n Factor of Safety: 0.55\n Max Deflection: 4.97e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.03066577482227, + "fos_buckling": 0.5533477787774672, + "fos_yielding": 1.2596203959136516, + "deflection": 4968929403722.335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.221)" + }, + "parent_node_id": "node_2400", + "improvement_over_parent": null + }, + "node_2402": { + "node_id": "node_2402", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 233.67 kg\n Factor of Safety: 0.91\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.66752930247583, + "fos_buckling": 0.9125267115270796, + "fos_yielding": 2.388720739785028, + "deflection": 0.004440072126527992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_2401", + "improvement_over_parent": null + }, + "node_2403": { + "node_id": "node_2403", + "content": "MODIFICATION: Increase 16 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0072)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 242.70 kg\n Factor of Safety: 1.20\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.69884835149992, + "fos_buckling": 1.204021988891477, + "fos_yielding": 2.3868689347799275, + "deflection": 0.0042366815172921665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.499)" + }, + "parent_node_id": "node_2402", + "improvement_over_parent": null + }, + "node_2404": { + "node_id": "node_2404", + "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0072)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 244.58 kg\n Factor of Safety: 1.20\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.5848465041285, + "fos_buckling": 1.2038912300365756, + "fos_yielding": 2.386611355814137, + "deflection": 0.0042498311625878945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.272)" + }, + "parent_node_id": "node_2403", + "improvement_over_parent": null + }, + "node_2405": { + "node_id": "node_2405", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0072)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 245.74 kg\n Factor of Safety: 1.20\n Max Deflection: 4.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.73943534309603, + "fos_buckling": 1.2039712759026522, + "fos_yielding": 2.3864536960301406, + "deflection": 0.004217139108009977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.195)" + }, + "parent_node_id": "node_2404", + "improvement_over_parent": null + }, + "node_2406": { + "node_id": "node_2406", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0072)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 263.78 kg\n Factor of Safety: 1.45\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.7819715458437, + "fos_buckling": 1.4549275665364314, + "fos_yielding": 2.668865601893074, + "deflection": 0.003916584226521549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_2405", + "improvement_over_parent": null + }, + "node_2407": { + "node_id": "node_2407", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2406", + "improvement_over_parent": null + }, + "node_2408": { + "node_id": "node_2408", + "content": "INITIAL DESIGN (Trace 344)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 196.94 kg\n Factor of Safety: 0.62\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.93767113153694, + "fos_buckling": 0.6166969250172003, + "fos_yielding": 2.096987255486667, + "deflection": 0.004797946679962797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2409": { + "node_id": "node_2409", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 241.26 kg\n Factor of Safety: 0.74\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.26043977009505, + "fos_buckling": 0.7351856046089597, + "fos_yielding": 2.5638547855104346, + "deflection": 0.003927165407826219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_2408", + "improvement_over_parent": null + }, + "node_2410": { + "node_id": "node_2410", + "content": "MODIFICATION: Increase 4 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.02 kg\n Factor of Safety: 0.68\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.02332386096393, + "fos_buckling": 0.6844327835139841, + "fos_yielding": 2.5529506478112918, + "deflection": 0.0038922715798362013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.597)" + }, + "parent_node_id": "node_2409", + "improvement_over_parent": null + }, + "node_2411": { + "node_id": "node_2411", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 250.86 kg\n Factor of Safety: 1.33\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.8620868789434, + "fos_buckling": 1.3254180841384495, + "fos_yielding": 2.635445713888167, + "deflection": 0.004035719858960229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_2410", + "improvement_over_parent": null + }, + "node_2412": { + "node_id": "node_2412", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.50 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5046871077627, + "fos_buckling": 1.5406821333285405, + "fos_yielding": 2.6491316191886214, + "deflection": 0.003960306420062604, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_2411", + "improvement_over_parent": null + }, + "node_2413": { + "node_id": "node_2413", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2412", + "improvement_over_parent": null + }, + "node_2414": { + "node_id": "node_2414", + "content": "INITIAL DESIGN (Trace 345)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0025)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n Mass: 107.36 kg\n Factor of Safety: 0.45\n Max Deflection: 9.79e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.36006906398863, + "fos_buckling": 0.451167749155683, + "fos_yielding": 1.0776015418673266, + "deflection": 0.009785421787749856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2415": { + "node_id": "node_2415", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0025)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n\nPerformance:\n Mass: 115.45 kg\n Factor of Safety: 0.76\n Max Deflection: 8.76e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.44724041360179, + "fos_buckling": 0.763809952911394, + "fos_yielding": 1.1954302379571706, + "deflection": 0.008761134973959165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.001891)" + }, + "parent_node_id": "node_2414", + "improvement_over_parent": null + }, + "node_2416": { + "node_id": "node_2416", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n\nPerformance:\n Mass: 147.77 kg\n Factor of Safety: 0.96\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.77194881222496, + "fos_buckling": 0.9562991060147018, + "fos_yielding": 1.5278776664280542, + "deflection": 0.0068575031530879816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2415", + "improvement_over_parent": null + }, + "node_2417": { + "node_id": "node_2417", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n Mass: 167.60 kg\n Factor of Safety: 1.07\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.60160117688, + "fos_buckling": 1.0697854268493834, + "fos_yielding": 1.7313309516725415, + "deflection": 0.006053109137799077, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2416", + "improvement_over_parent": null + }, + "node_2418": { + "node_id": "node_2418", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 201.52 kg\n Factor of Safety: 1.26\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.5202775364024, + "fos_buckling": 1.2558295132690107, + "fos_yielding": 2.078482910135462, + "deflection": 0.005044167904879271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2417", + "improvement_over_parent": null + }, + "node_2419": { + "node_id": "node_2419", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5130257934352, + "fos_buckling": 1.540750308344654, + "fos_yielding": 2.6492087621901543, + "deflection": 0.003960146861754254, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2418", + "improvement_over_parent": null + }, + "node_2420": { + "node_id": "node_2420", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2419", + "improvement_over_parent": null + }, + "node_2421": { + "node_id": "node_2421", + "content": "INITIAL DESIGN (Trace 346)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 198.43 kg\n Factor of Safety: 0.84\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.4295932803577, + "fos_buckling": 0.8395869824745585, + "fos_yielding": 1.8872830658851552, + "deflection": 0.005207831304799178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2422": { + "node_id": "node_2422", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 219.99 kg\n Factor of Safety: 0.91\n Max Deflection: 4.70e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.98911875625197, + "fos_buckling": 0.91391612636317, + "fos_yielding": 2.097424992356243, + "deflection": 0.004701639924564175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2421", + "improvement_over_parent": null + }, + "node_2423": { + "node_id": "node_2423", + "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 222.97 kg\n Factor of Safety: 0.91\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.97330016758332, + "fos_buckling": 0.9138375158574928, + "fos_yielding": 2.3931891051874477, + "deflection": 0.004535229640055869, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.608)" + }, + "parent_node_id": "node_2422", + "improvement_over_parent": null + }, + "node_2424": { + "node_id": "node_2424", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 224.64 kg\n Factor of Safety: 0.91\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.64419018511853, + "fos_buckling": 0.9137495013949043, + "fos_yielding": 2.3929598848164, + "deflection": 0.004489434600075904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.297)" + }, + "parent_node_id": "node_2423", + "improvement_over_parent": null + }, + "node_2425": { + "node_id": "node_2425", + "content": "MODIFICATION: Increase 17 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 229.73 kg\n Factor of Safety: 0.91\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.72514239075784, + "fos_buckling": 0.9138833281854005, + "fos_yielding": 2.3926114547518518, + "deflection": 0.004409492690957489, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.431)" + }, + "parent_node_id": "node_2424", + "improvement_over_parent": null + }, + "node_2426": { + "node_id": "node_2426", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 239.70 kg\n Factor of Safety: 0.91\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.6968957894535, + "fos_buckling": 0.9128338001750079, + "fos_yielding": 2.3898796940454465, + "deflection": 0.004415031060873899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_2425", + "improvement_over_parent": null + }, + "node_2427": { + "node_id": "node_2427", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.74 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.73943199220116, + "fos_buckling": 1.5418703278640677, + "fos_yielding": 2.651564851859389, + "deflection": 0.0039567188330145815, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_2426", + "improvement_over_parent": null + }, + "node_2428": { + "node_id": "node_2428", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2427", + "improvement_over_parent": null + }, + "node_2429": { + "node_id": "node_2429", + "content": "INITIAL DESIGN (Trace 347)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0015)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0011)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0016)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0012)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0011)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0015)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n\nPerformance:\n Mass: 85.69 kg\n Factor of Safety: 0.40\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": 85.6902107405713, + "fos_buckling": 0.39768403382526224, + "fos_yielding": 0.9413964641056185, + "deflection": 0.012538067406374087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2430": { + "node_id": "node_2430", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 111.32 kg\n Factor of Safety: 0.51\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.31567570586435, + "fos_buckling": 0.506426999582525, + "fos_yielding": 1.2212173667510124, + "deflection": 0.009665263468913221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_2429", + "improvement_over_parent": null + }, + "node_2431": { + "node_id": "node_2431", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n\nPerformance:\n Mass: 121.02 kg\n Factor of Safety: 0.51\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.02233323829915, + "fos_buckling": 0.5062850278940874, + "fos_yielding": 1.2208760139478265, + "deflection": 0.008709426064642763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002218)" + }, + "parent_node_id": "node_2430", + "improvement_over_parent": null + }, + "node_2432": { + "node_id": "node_2432", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n\nPerformance:\n Mass: 130.20 kg\n Factor of Safety: 0.77\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.19525799360855, + "fos_buckling": 0.7700994593365047, + "fos_yielding": 1.3557932134684378, + "deflection": 0.007870877523333744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002156)" + }, + "parent_node_id": "node_2431", + "improvement_over_parent": null + }, + "node_2433": { + "node_id": "node_2433", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n Mass: 169.43 kg\n Factor of Safety: 0.98\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.42863780790609, + "fos_buckling": 0.9803516857359347, + "fos_yielding": 1.761050027249176, + "deflection": 0.006060902721825645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_2432", + "improvement_over_parent": null + }, + "node_2434": { + "node_id": "node_2434", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 216.09 kg\n Factor of Safety: 1.22\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.08733368526268, + "fos_buckling": 1.217297026432114, + "fos_yielding": 2.241020958244274, + "deflection": 0.004763910925527531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2433", + "improvement_over_parent": null + }, + "node_2435": { + "node_id": "node_2435", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 217.22 kg\n Factor of Safety: 1.34\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.21696427099567, + "fos_buckling": 1.3384495411404853, + "fos_yielding": 2.2385511228295623, + "deflection": 0.004683970436187069, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.198)" + }, + "parent_node_id": "node_2434", + "improvement_over_parent": null + }, + "node_2436": { + "node_id": "node_2436", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.36689106370693, + "fos_buckling": 1.540005488881246, + "fos_yielding": 2.6474668607524445, + "deflection": 0.003962416517256917, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_2435", + "improvement_over_parent": null + }, + "node_2437": { + "node_id": "node_2437", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2436", + "improvement_over_parent": null + }, + "node_2438": { + "node_id": "node_2438", + "content": "INITIAL DESIGN (Trace 348)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 162.52 kg\n Factor of Safety: 0.27\n Max Deflection: 3.51e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.5155867328809, + "fos_buckling": 0.2694248383982373, + "fos_yielding": 0.437077855379766, + "deflection": 0.03506529285093474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2439": { + "node_id": "node_2439", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 210.86 kg\n Factor of Safety: 0.34\n Max Deflection: 2.71e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.86234141344292, + "fos_buckling": 0.33628169440056305, + "fos_yielding": 0.5690255728976834, + "deflection": 0.027083184873610444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2438", + "improvement_over_parent": null + }, + "node_2440": { + "node_id": "node_2440", + "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 212.69 kg\n Factor of Safety: 0.34\n Max Deflection: 2.53e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.69308098446274, + "fos_buckling": 0.33622112473530963, + "fos_yielding": 0.8167317785381292, + "deflection": 0.02526083525975861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.473)" + }, + "parent_node_id": "node_2439", + "improvement_over_parent": null + }, + "node_2441": { + "node_id": "node_2441", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n\nPerformance:\n Mass: 221.75 kg\n Factor of Safety: 0.42\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.74949463371715, + "fos_buckling": 0.418831210808105, + "fos_yielding": 0.815887095083842, + "deflection": 0.014718805677467809, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003295)" + }, + "parent_node_id": "node_2440", + "improvement_over_parent": null + }, + "node_2442": { + "node_id": "node_2442", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n Mass: 229.59 kg\n Factor of Safety: 0.86\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.59373529975494, + "fos_buckling": 0.8561269574559035, + "fos_yielding": 2.3908508767562955, + "deflection": 0.005036697398324793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003620)" + }, + "parent_node_id": "node_2441", + "improvement_over_parent": null + }, + "node_2443": { + "node_id": "node_2443", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n\nPerformance:\n Mass: 233.88 kg\n Factor of Safety: 1.42\n Max Deflection: 4.35e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.87775203469806, + "fos_buckling": 1.423831132218055, + "fos_yielding": 2.4086223681291723, + "deflection": 0.004354421112170931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002675)" + }, + "parent_node_id": "node_2442", + "improvement_over_parent": null + }, + "node_2444": { + "node_id": "node_2444", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.50 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4997149479336, + "fos_buckling": 1.5406714620165203, + "fos_yielding": 2.64903908465958, + "deflection": 0.003960350222064936, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_2443", + "improvement_over_parent": null + }, + "node_2445": { + "node_id": "node_2445", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2444", + "improvement_over_parent": null + }, + "node_2446": { + "node_id": "node_2446", + "content": "INITIAL DESIGN (Trace 349)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 201.24 kg\n Factor of Safety: 0.39\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.23639383924814, + "fos_buckling": 0.3916031965761046, + "fos_yielding": 2.0291964662331514, + "deflection": 0.005501008174303136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2447": { + "node_id": "node_2447", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 201.94 kg\n Factor of Safety: 0.39\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.94082468646423, + "fos_buckling": 0.39453145273750057, + "fos_yielding": 2.030476843703256, + "deflection": 0.005476761218206666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.241)" + }, + "parent_node_id": "node_2446", + "improvement_over_parent": null + }, + "node_2448": { + "node_id": "node_2448", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.55 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.55025037404252, + "fos_buckling": 0.4690909785310069, + "fos_yielding": 2.4843353100263266, + "deflection": 0.004477935321815564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2447", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5220037727382, + "fos_buckling": 1.5407811855787144, + "fos_yielding": 2.64926939582538, + "deflection": 0.0039600264700344985, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_2448", + "improvement_over_parent": null + }, + "node_2450": { + "node_id": "node_2450", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2449", + "improvement_over_parent": null + }, + "node_2451": { + "node_id": "node_2451", + "content": "INITIAL DESIGN (Trace 350)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 173.09 kg\n Factor of Safety: 1.03\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.08882797452173, + "fos_buckling": 1.0310015542671052, + "fos_yielding": 1.8147910476102767, + "deflection": 0.005784460882299562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2452": { + "node_id": "node_2452", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 206.58 kg\n Factor of Safety: 1.22\n Max Deflection: 4.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.58408996912067, + "fos_buckling": 1.2249791246306116, + "fos_yielding": 2.162283761917296, + "deflection": 0.004856698665091272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_2451", + "improvement_over_parent": null + }, + "node_2453": { + "node_id": "node_2453", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.16 kg\n Factor of Safety: 1.50\n Max Deflection: 3.94e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.15676698530265, + "fos_buckling": 1.5025956514488124, + "fos_yielding": 2.6640626493537987, + "deflection": 0.00394408407208312, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2452", + "improvement_over_parent": null + }, + "node_2454": { + "node_id": "node_2454", + "content": "MODIFICATION: Increase 16 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.55 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5477651848101, + "fos_buckling": 1.5409192693969116, + "fos_yielding": 2.64957490052769, + "deflection": 0.0039595932382578795, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.629)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 351)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.30 kg\n Factor of Safety: 1.35\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.29623386622674, + "fos_buckling": 1.3454356845236453, + "fos_yielding": 2.338619676933566, + "deflection": 0.004114607616327371, + "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 14 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.03 kg\n Factor of Safety: 1.25\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.03233148481385, + "fos_buckling": 1.2547713353285794, + "fos_yielding": 2.34483153125499, + "deflection": 0.004078499282838673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.362)" + }, + "parent_node_id": "node_2456", + "improvement_over_parent": null + }, + "node_2458": { + "node_id": "node_2458", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.79 kg\n Factor of Safety: 1.27\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.7945185555968, + "fos_buckling": 1.2653471811712875, + "fos_yielding": 2.6548738201617827, + "deflection": 0.003989293948415757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.248)" + }, + "parent_node_id": "node_2457", + "improvement_over_parent": null + }, + "node_2459": { + "node_id": "node_2459", + "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53474151596816, + "fos_buckling": 1.5408435155199764, + "fos_yielding": 2.6493673161770617, + "deflection": 0.003959862323986438, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.585)" + }, + "parent_node_id": "node_2458", + "improvement_over_parent": null + }, + "node_2460": { + "node_id": "node_2460", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2459", + "improvement_over_parent": null + }, + "node_2461": { + "node_id": "node_2461", + "content": "INITIAL DESIGN (Trace 352)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n\nPerformance:\n Mass: 131.40 kg\n Factor of Safety: 0.41\n Max Deflection: 9.10e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.4008838269631, + "fos_buckling": 0.40792984956584794, + "fos_yielding": 1.3835889591872435, + "deflection": 0.009095467043409335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2462": { + "node_id": "node_2462", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n Mass: 140.63 kg\n Factor of Safety: 0.81\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.62606682891806, + "fos_buckling": 0.8079709818968769, + "fos_yielding": 1.4820393437690014, + "deflection": 0.007180843589550632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.001985)" + }, + "parent_node_id": "node_2461", + "improvement_over_parent": null + }, + "node_2463": { + "node_id": "node_2463", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 167.99 kg\n Factor of Safety: 0.95\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.99466767258235, + "fos_buckling": 0.9509515614923567, + "fos_yielding": 1.7679603959637604, + "deflection": 0.0060206735568727205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_2462", + "improvement_over_parent": null + }, + "node_2464": { + "node_id": "node_2464", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 212.44 kg\n Factor of Safety: 1.17\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.4419309627404, + "fos_buckling": 1.173301220905089, + "fos_yielding": 2.2305462960431757, + "deflection": 0.0047734646915401635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_2463", + "improvement_over_parent": null + }, + "node_2465": { + "node_id": "node_2465", + "content": "MODIFICATION: Increase 20 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 216.28 kg\n Factor of Safety: 1.33\n Max Deflection: 4.70e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.27598166173757, + "fos_buckling": 1.3335777247442255, + "fos_yielding": 2.2291380089001955, + "deflection": 0.0047040548905852835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.295)" + }, + "parent_node_id": "node_2464", + "improvement_over_parent": null + }, + "node_2466": { + "node_id": "node_2466", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.24 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.24018045307236, + "fos_buckling": 1.5394129134080894, + "fos_yielding": 2.64639855043631, + "deflection": 0.003964306700698923, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_2465", + "improvement_over_parent": null + }, + "node_2467": { + "node_id": "node_2467", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2466", + "improvement_over_parent": null + }, + "node_2468": { + "node_id": "node_2468", + "content": "INITIAL DESIGN (Trace 353)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 185.48 kg\n Factor of Safety: 0.24\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.4826314123637, + "fos_buckling": 0.23970104890049312, + "fos_yielding": 1.1027884264661607, + "deflection": 0.010660000346837563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2469": { + "node_id": "node_2469", + "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 191.02 kg\n Factor of Safety: 0.24\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.02281588831278, + "fos_buckling": 0.23970987935227686, + "fos_yielding": 1.2729484441703842, + "deflection": 0.009489004570794915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.538)" + }, + "parent_node_id": "node_2468", + "improvement_over_parent": null + }, + "node_2470": { + "node_id": "node_2470", + "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 193.47 kg\n Factor of Safety: 0.24\n Max Deflection: 9.39e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.47435656191377, + "fos_buckling": 0.23886873325884903, + "fos_yielding": 1.2728002561468406, + "deflection": 0.009387631711544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.484)" + }, + "parent_node_id": "node_2469", + "improvement_over_parent": null + }, + "node_2471": { + "node_id": "node_2471", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n Mass: 221.39 kg\n Factor of Safety: 1.12\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.3868412199157, + "fos_buckling": 1.120470552656665, + "fos_yielding": 2.095850035807836, + "deflection": 0.004683210386199373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005097)" + }, + "parent_node_id": "node_2470", + "improvement_over_parent": null + }, + "node_2472": { + "node_id": "node_2472", + "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n Mass: 223.08 kg\n Factor of Safety: 1.13\n Max Deflection: 4.67e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.07908202631336, + "fos_buckling": 1.1317253569830958, + "fos_yielding": 2.116902246412239, + "deflection": 0.004667327867123642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.445)" + }, + "parent_node_id": "node_2471", + "improvement_over_parent": null + }, + "node_2473": { + "node_id": "node_2473", + "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n Mass: 225.02 kg\n Factor of Safety: 1.38\n Max Deflection: 4.52e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.01775590942756, + "fos_buckling": 1.3785984553555648, + "fos_yielding": 2.318239117340872, + "deflection": 0.00452324854307957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.374)" + }, + "parent_node_id": "node_2472", + "improvement_over_parent": null + }, + "node_2474": { + "node_id": "node_2474", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.58 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5823330526226, + "fos_buckling": 1.5409147461191302, + "fos_yielding": 2.6497943075640373, + "deflection": 0.0039588274911010355, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_2473", + "improvement_over_parent": null + }, + "node_2475": { + "node_id": "node_2475", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2474", + "improvement_over_parent": null + }, + "node_2476": { + "node_id": "node_2476", + "content": "INITIAL DESIGN (Trace 354)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 167.62 kg\n Factor of Safety: 0.05\n Max Deflection: 2.38e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.6226354050627, + "fos_buckling": 0.05478893314751683, + "fos_yielding": 0.3361744575698232, + "deflection": 23836359981002.383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2477": { + "node_id": "node_2477", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 197.40 kg\n Factor of Safety: 0.38\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": 197.40217447068534, + "fos_buckling": 0.37666716410173406, + "fos_yielding": 1.259620395913652, + "deflection": 8916539988069.053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2476", + "improvement_over_parent": null + }, + "node_2478": { + "node_id": "node_2478", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 215.44 kg\n Factor of Safety: 0.62\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.444710673433, + "fos_buckling": 0.6207484034363233, + "fos_yielding": 2.2755342241773597, + "deflection": 0.005777190199943149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_2477", + "improvement_over_parent": null + }, + "node_2479": { + "node_id": "node_2479", + "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 217.49 kg\n Factor of Safety: 0.62\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.48643384998928, + "fos_buckling": 0.6207668668242541, + "fos_yielding": 2.2754011268116368, + "deflection": 0.00568778860580382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.634)" + }, + "parent_node_id": "node_2478", + "improvement_over_parent": null + }, + "node_2480": { + "node_id": "node_2480", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 236.58 kg\n Factor of Safety: 0.67\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.57617762479674, + "fos_buckling": 0.6738162020972163, + "fos_yielding": 2.2741574433559633, + "deflection": 0.0051157291757300645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_2479", + "improvement_over_parent": null + }, + "node_2481": { + "node_id": "node_2481", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53236163161233, + "fos_buckling": 1.5408026994859323, + "fos_yielding": 2.649282873510324, + "deflection": 0.003959894989990031, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_2480", + "improvement_over_parent": null + }, + "node_2482": { + "node_id": "node_2482", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2481", + "improvement_over_parent": null + }, + "node_2483": { + "node_id": "node_2483", + "content": "INITIAL DESIGN (Trace 355)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 162.66 kg\n Factor of Safety: 1.04\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.65689353304467, + "fos_buckling": 1.041807694311447, + "fos_yielding": 1.6806214381855429, + "deflection": 0.00623535816019074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2484": { + "node_id": "node_2484", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 190.54 kg\n Factor of Safety: 1.20\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.53730414472216, + "fos_buckling": 1.1966956745793402, + "fos_yielding": 1.9661790544853779, + "deflection": 0.005331558594952996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2483", + "improvement_over_parent": null + }, + "node_2485": { + "node_id": "node_2485", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 231.43 kg\n Factor of Safety: 1.41\n Max Deflection: 4.40e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.43023513702053, + "fos_buckling": 1.411451828844212, + "fos_yielding": 2.383698402307035, + "deflection": 0.004399863992978812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_2484", + "improvement_over_parent": null + }, + "node_2486": { + "node_id": "node_2486", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.54446987138374, + "fos_buckling": 1.5408955365771326, + "fos_yielding": 2.6495113800505012, + "deflection": 0.0039596838668535216, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 356)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 219.17 kg\n Factor of Safety: 0.27\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.17355471902468, + "fos_buckling": 0.26682903393305685, + "fos_yielding": 1.4550752846534778, + "deflection": 0.008177157360372767, + "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 16 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 223.79 kg\n Factor of Safety: 0.27\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.78785754916797, + "fos_buckling": 0.267744599615545, + "fos_yielding": 1.4547568976339318, + "deflection": 0.00814304463107235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.377)" + }, + "parent_node_id": "node_2488", + "improvement_over_parent": null + }, + "node_2490": { + "node_id": "node_2490", + "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 225.59 kg\n Factor of Safety: 0.27\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.5893500941173, + "fos_buckling": 0.26764841567893705, + "fos_yielding": 1.4547568976339316, + "deflection": 0.008134438482059423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.220)" + }, + "parent_node_id": "node_2489", + "improvement_over_parent": null + }, + "node_2491": { + "node_id": "node_2491", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5392924678548, + "fos_buckling": 1.5408115918415204, + "fos_yielding": 2.649365044698649, + "deflection": 0.003959821781474733, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_2490", + "improvement_over_parent": null + }, + "node_2492": { + "node_id": "node_2492", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2491", + "improvement_over_parent": null + }, + "node_2493": { + "node_id": "node_2493", + "content": "INITIAL DESIGN (Trace 357)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 175.00 kg\n Factor of Safety: 0.76\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.99937436577963, + "fos_buckling": 0.7623294574573214, + "fos_yielding": 1.4574374872773401, + "deflection": 0.006762093719856332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2494": { + "node_id": "node_2494", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 216.99 kg\n Factor of Safety: 0.91\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.99077072884208, + "fos_buckling": 0.9119389063147256, + "fos_yielding": 1.802548857650243, + "deflection": 0.005467524264087327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_2493", + "improvement_over_parent": null + }, + "node_2495": { + "node_id": "node_2495", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 235.03 kg\n Factor of Safety: 0.93\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.03330693158975, + "fos_buckling": 0.9269181930873419, + "fos_yielding": 2.6382154106450075, + "deflection": 0.004615233187952769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_2494", + "improvement_over_parent": null + }, + "node_2496": { + "node_id": "node_2496", + "content": "MODIFICATION: Increase 14 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 239.57 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.56955284873035, + "fos_buckling": 0.9267986521106081, + "fos_yielding": 2.630986940852796, + "deflection": 0.004576742246407919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.342)" + }, + "parent_node_id": "node_2495", + "improvement_over_parent": null + }, + "node_2497": { + "node_id": "node_2497", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.56 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5589174153902, + "fos_buckling": 1.540993969091216, + "fos_yielding": 2.6496626614276404, + "deflection": 0.003959461157604159, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_2496", + "improvement_over_parent": null + }, + "node_2498": { + "node_id": "node_2498", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2497", + "improvement_over_parent": null + }, + "node_2499": { + "node_id": "node_2499", + "content": "INITIAL DESIGN (Trace 358)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 158.55 kg\n Factor of Safety: 0.66\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.5547368540039, + "fos_buckling": 0.664788744282532, + "fos_yielding": 1.7818894093638669, + "deflection": 0.00681670314796961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2500": { + "node_id": "node_2500", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 196.98 kg\n Factor of Safety: 0.80\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.98051134257034, + "fos_buckling": 0.8003548268019246, + "fos_yielding": 2.209085577334187, + "deflection": 0.005500293568822175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_2499", + "improvement_over_parent": null + }, + "node_2501": { + "node_id": "node_2501", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 235.60 kg\n Factor of Safety: 0.93\n Max Deflection: 4.61e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.59931488738718, + "fos_buckling": 0.9267613499935695, + "fos_yielding": 2.636578558020965, + "deflection": 0.004609956269079306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_2500", + "improvement_over_parent": null + }, + "node_2502": { + "node_id": "node_2502", + "content": "MODIFICATION: Increase 14 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.52 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.52222206995555, + "fos_buckling": 0.9266579891000453, + "fos_yielding": 2.630496874949073, + "deflection": 0.004577605570832873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.284)" + }, + "parent_node_id": "node_2501", + "improvement_over_parent": null + }, + "node_2503": { + "node_id": "node_2503", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.51158663661545, + "fos_buckling": 1.540736782747103, + "fos_yielding": 2.64917020587462, + "deflection": 0.003960186959768161, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_2502", + "improvement_over_parent": null + }, + "node_2504": { + "node_id": "node_2504", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2503", + "improvement_over_parent": null + }, + "node_2505": { + "node_id": "node_2505", + "content": "INITIAL DESIGN (Trace 359)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 165.32 kg\n Factor of Safety: 0.04\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": 165.3238880872185, + "fos_buckling": 0.035471503691048484, + "fos_yielding": 0.4431598717520699, + "deflection": 0.023372517661959955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2506": { + "node_id": "node_2506", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 187.42 kg\n Factor of Safety: 0.04\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": 187.41770699189277, + "fos_buckling": 0.03954488802749861, + "fos_yielding": 0.5018363033622649, + "deflection": 0.020644580546382272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n Mass: 194.80 kg\n Factor of Safety: 1.05\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.80264248864202, + "fos_buckling": 1.051075049162424, + "fos_yielding": 2.0476506400155996, + "deflection": 0.005213272984776456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003197)" + }, + "parent_node_id": "node_2506", + "improvement_over_parent": null + }, + "node_2508": { + "node_id": "node_2508", + "content": "MODIFICATION: Increase 18 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0046)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n Mass: 199.50 kg\n Factor of Safety: 1.04\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.49651781667532, + "fos_buckling": 1.0382530822240912, + "fos_yielding": 2.048306326955862, + "deflection": 0.00516625283409706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.372)" + }, + "parent_node_id": "node_2507", + "improvement_over_parent": null + }, + "node_2509": { + "node_id": "node_2509", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 258.44 kg\n Factor of Safety: 1.31\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.4377521222856, + "fos_buckling": 1.3113651744173198, + "fos_yielding": 2.647859555231942, + "deflection": 0.003998395400267572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2508", + "improvement_over_parent": null + }, + "node_2510": { + "node_id": "node_2510", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2509", + "improvement_over_parent": null + }, + "node_2511": { + "node_id": "node_2511", + "content": "INITIAL DESIGN (Trace 360)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 172.76 kg\n Factor of Safety: 0.51\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.7606359007903, + "fos_buckling": 0.5100731213104922, + "fos_yielding": 1.4725023558516017, + "deflection": 0.0058394058526670106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2512": { + "node_id": "node_2512", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 197.63 kg\n Factor of Safety: 0.57\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.63200508011295, + "fos_buckling": 0.574838013806276, + "fos_yielding": 1.6883934144640702, + "deflection": 0.005108499817290685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2511", + "improvement_over_parent": null + }, + "node_2513": { + "node_id": "node_2513", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.05\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.14513482613066, + "fos_buckling": 1.0508989913633768, + "fos_yielding": 1.678720746742879, + "deflection": 0.005281090795446857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002653)" + }, + "parent_node_id": "node_2512", + "improvement_over_parent": null + }, + "node_2514": { + "node_id": "node_2514", + "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n Mass: 205.61 kg\n Factor of Safety: 1.07\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.61225514679623, + "fos_buckling": 1.0686435787358968, + "fos_yielding": 1.69503049952131, + "deflection": 0.005144471107221373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.277)" + }, + "parent_node_id": "node_2513", + "improvement_over_parent": null + }, + "node_2515": { + "node_id": "node_2515", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 247.59 kg\n Factor of Safety: 1.25\n Max Deflection: 4.28e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.58816031306228, + "fos_buckling": 1.2487486110521766, + "fos_yielding": 2.049089147187657, + "deflection": 0.004278719664290235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_2514", + "improvement_over_parent": null + }, + "node_2516": { + "node_id": "node_2516", + "content": "MODIFICATION: Increase 2 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 250.95 kg\n Factor of Safety: 1.33\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.95282380862423, + "fos_buckling": 1.3257629989052588, + "fos_yielding": 2.636456407706212, + "deflection": 0.004034613568924455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.647)" + }, + "parent_node_id": "node_2515", + "improvement_over_parent": null + }, + "node_2517": { + "node_id": "node_2517", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.59542403744354, + "fos_buckling": 1.5412073109465652, + "fos_yielding": 2.650140031767268, + "deflection": 0.003959282850806282, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_2516", + "improvement_over_parent": null + }, + "node_2518": { + "node_id": "node_2518", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2517", + "improvement_over_parent": null + }, + "node_2519": { + "node_id": "node_2519", + "content": "INITIAL DESIGN (Trace 361)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 143.62 kg\n Factor of Safety: 0.46\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.620089932195, + "fos_buckling": 0.46059808161247034, + "fos_yielding": 1.5841605908517127, + "deflection": 0.00837161826677607, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2520": { + "node_id": "node_2520", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 144.21 kg\n Factor of Safety: 0.46\n Max Deflection: 8.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.2080877193979, + "fos_buckling": 0.46059034109451474, + "fos_yielding": 1.5841339033298734, + "deflection": 0.008348165056667406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.239)" + }, + "parent_node_id": "node_2519", + "improvement_over_parent": null + }, + "node_2521": { + "node_id": "node_2521", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n\nPerformance:\n Mass: 150.56 kg\n Factor of Safety: 0.46\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.56197404625715, + "fos_buckling": 0.4602560143569301, + "fos_yielding": 1.5829812238901522, + "deflection": 0.00794787066902486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002254)" + }, + "parent_node_id": "node_2520", + "improvement_over_parent": null + }, + "node_2522": { + "node_id": "node_2522", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n\nPerformance:\n Mass: 184.41 kg\n Factor of Safety: 0.55\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.41194370557216, + "fos_buckling": 0.5483066412824462, + "fos_yielding": 1.933727417144841, + "deflection": 0.00650340202962706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_2521", + "improvement_over_parent": null + }, + "node_2523": { + "node_id": "node_2523", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 236.32 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.32258369022477, + "fos_buckling": 0.6725792759257987, + "fos_yielding": 2.4680119431466787, + "deflection": 0.005092112010316327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_2522", + "improvement_over_parent": null + }, + "node_2524": { + "node_id": "node_2524", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.58 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5777097721169, + "fos_buckling": 1.541071543559211, + "fos_yielding": 2.6499186283728915, + "deflection": 0.003959156141445223, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_2523", + "improvement_over_parent": null + }, + "node_2525": { + "node_id": "node_2525", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2524", + "improvement_over_parent": null + }, + "node_2526": { + "node_id": "node_2526", + "content": "INITIAL DESIGN (Trace 362)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n\nPerformance:\n Mass: 113.05 kg\n Factor of Safety: 0.03\n Max Deflection: 4.26e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.05042962759501, + "fos_buckling": 0.02814924956345342, + "fos_yielding": 0.3425788182974266, + "deflection": 0.04260709664549922, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2527": { + "node_id": "node_2527", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n\nPerformance:\n Mass: 118.08 kg\n Factor of Safety: 0.26\n Max Deflection: 9.96e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 118.07869373196218, + "fos_buckling": 0.2559690394196777, + "fos_yielding": 0.9844874488657159, + "deflection": 0.009959209999179267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002129)" + }, + "parent_node_id": "node_2526", + "improvement_over_parent": null + }, + "node_2528": { + "node_id": "node_2528", + "content": "MODIFICATION: Increase 11 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n\nPerformance:\n Mass: 127.30 kg\n Factor of Safety: 0.26\n Max Deflection: 9.76e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.30139253008441, + "fos_buckling": 0.2559014350667181, + "fos_yielding": 0.9842274344626915, + "deflection": 0.009763221314428609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.590)" + }, + "parent_node_id": "node_2527", + "improvement_over_parent": null + }, + "node_2529": { + "node_id": "node_2529", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n\nPerformance:\n Mass: 131.42 kg\n Factor of Safety: 0.26\n Max Deflection: 9.97e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.42306997340287, + "fos_buckling": 0.25584103973025946, + "fos_yielding": 0.9839951467967756, + "deflection": 0.00997469157191287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001633)" + }, + "parent_node_id": "node_2528", + "improvement_over_parent": null + }, + "node_2530": { + "node_id": "node_2530", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0062)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n Mass: 168.83 kg\n Factor of Safety: 0.32\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.83433922745257, + "fos_buckling": 0.3245175524177196, + "fos_yielding": 1.2682726613790656, + "deflection": 0.007768186982057432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_2529", + "improvement_over_parent": null + }, + "node_2531": { + "node_id": "node_2531", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0062)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 183.21 kg\n Factor of Safety: 0.85\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.2111756254323, + "fos_buckling": 0.8495270699347549, + "fos_yielding": 1.808552118054662, + "deflection": 0.005702259454768814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003160)" + }, + "parent_node_id": "node_2530", + "improvement_over_parent": null + }, + "node_2532": { + "node_id": "node_2532", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0077)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 224.52 kg\n Factor of Safety: 1.03\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.5192680571607, + "fos_buckling": 1.0254829129421776, + "fos_yielding": 2.215309390771263, + "deflection": 0.0046592192678874735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_2531", + "improvement_over_parent": null + }, + "node_2533": { + "node_id": "node_2533", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0094)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 270.02 kg\n Factor of Safety: 1.21\n Max Deflection: 3.88e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.02376288142057, + "fos_buckling": 1.2127111180321037, + "fos_yielding": 2.6632643537203, + "deflection": 0.003879345330747692, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2532", + "improvement_over_parent": null + }, + "node_2534": { + "node_id": "node_2534", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2533", + "improvement_over_parent": null + }, + "node_2535": { + "node_id": "node_2535", + "content": "INITIAL DESIGN (Trace 363)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 140.04 kg\n Factor of Safety: 0.50\n Max Deflection: 6.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.04466657137536, + "fos_buckling": 0.4955824223504268, + "fos_yielding": 1.3940719894825673, + "deflection": 0.006911850414260627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2536": { + "node_id": "node_2536", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 181.29 kg\n Factor of Safety: 0.63\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.29306857245157, + "fos_buckling": 0.6264413691727685, + "fos_yielding": 1.8061045212164017, + "deflection": 0.005350777872004576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2535", + "improvement_over_parent": null + }, + "node_2537": { + "node_id": "node_2537", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n\nPerformance:\n Mass: 184.96 kg\n Factor of Safety: 0.99\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.9610477460908, + "fos_buckling": 0.9885735088795573, + "fos_yielding": 1.8209032928269133, + "deflection": 0.00550920521365815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001446)" + }, + "parent_node_id": "node_2536", + "improvement_over_parent": null + }, + "node_2538": { + "node_id": "node_2538", + "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0043)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n\nPerformance:\n Mass: 189.05 kg\n Factor of Safety: 0.97\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.0476083259856, + "fos_buckling": 0.9719072013521245, + "fos_yielding": 1.7902047823131488, + "deflection": 0.005436370985616245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.618)" + }, + "parent_node_id": "node_2537", + "improvement_over_parent": null + }, + "node_2539": { + "node_id": "node_2539", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0051)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n\nPerformance:\n Mass: 223.04 kg\n Factor of Safety: 1.13\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.04321672317943, + "fos_buckling": 1.1285662743221, + "fos_yielding": 2.11505928813059, + "deflection": 0.00461506558827029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2538", + "improvement_over_parent": null + }, + "node_2540": { + "node_id": "node_2540", + "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0051)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n\nPerformance:\n Mass: 224.88 kg\n Factor of Safety: 1.18\n Max Deflection: 4.47e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.87856204183439, + "fos_buckling": 1.1841877669220624, + "fos_yielding": 2.330316796943892, + "deflection": 0.004474638891916572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.348)" + }, + "parent_node_id": "node_2539", + "improvement_over_parent": null + }, + "node_2541": { + "node_id": "node_2541", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0059)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n\nPerformance:\n Mass: 257.75 kg\n Factor of Safety: 1.35\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.7488721763074, + "fos_buckling": 1.347227396452944, + "fos_yielding": 2.6674784027900293, + "deflection": 0.003911341681116096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2540", + "improvement_over_parent": null + }, + "node_2542": { + "node_id": "node_2542", + "content": "MODIFICATION: Increase 15 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0059)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0033)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n\nPerformance:\n Mass: 259.10 kg\n Factor of Safety: 1.36\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.10108388225285, + "fos_buckling": 1.3620798807178929, + "fos_yielding": 2.6631621529486766, + "deflection": 0.003917399186144043, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.232)" + }, + "parent_node_id": "node_2541", + "improvement_over_parent": null + }, + "node_2543": { + "node_id": "node_2543", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2542", + "improvement_over_parent": null + }, + "node_2544": { + "node_id": "node_2544", + "content": "INITIAL DESIGN (Trace 364)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 204.40 kg\n Factor of Safety: 1.19\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.40416645500073, + "fos_buckling": 1.1922221160073858, + "fos_yielding": 1.8582856478395398, + "deflection": 0.004883471365841323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2545": { + "node_id": "node_2545", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 205.98 kg\n Factor of Safety: 1.19\n Max Deflection: 4.71e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.97996219454438, + "fos_buckling": 1.1920430006755918, + "fos_yielding": 2.273389828393494, + "deflection": 0.004710578220628972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.241)" + }, + "parent_node_id": "node_2544", + "improvement_over_parent": null + }, + "node_2546": { + "node_id": "node_2546", + "content": "MODIFICATION: Increase 19 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 209.44 kg\n Factor of Safety: 1.23\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.43891555242817, + "fos_buckling": 1.2331429037155317, + "fos_yielding": 2.2731644732074168, + "deflection": 0.0046471517824835445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.261)" + }, + "parent_node_id": "node_2545", + "improvement_over_parent": null + }, + "node_2547": { + "node_id": "node_2547", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n\nPerformance:\n Mass: 214.91 kg\n Factor of Safety: 1.33\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.91360470859513, + "fos_buckling": 1.3264311083390956, + "fos_yielding": 2.2152192874695684, + "deflection": 0.004733561007601739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002198)" + }, + "parent_node_id": "node_2546", + "improvement_over_parent": null + }, + "node_2548": { + "node_id": "node_2548", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.57 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.57295041541187, + "fos_buckling": 1.540972926702443, + "fos_yielding": 2.6497644233868036, + "deflection": 0.003959308639121104, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2547", + "improvement_over_parent": null + }, + "node_2549": { + "node_id": "node_2549", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2548", + "improvement_over_parent": null + }, + "node_2550": { + "node_id": "node_2550", + "content": "INITIAL DESIGN (Trace 365)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 206.82 kg\n Factor of Safety: 0.58\n Max Deflection: 7.65e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.81717560686963, + "fos_buckling": 0.5755856410194646, + "fos_yielding": 2.077812384898748, + "deflection": 7647939535814.656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2551": { + "node_id": "node_2551", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 215.45 kg\n Factor of Safety: 0.67\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.45403913452319, + "fos_buckling": 0.6738486078924623, + "fos_yielding": 1.9634969272895597, + "deflection": 0.005383343956961631, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_2550", + "improvement_over_parent": null + }, + "node_2552": { + "node_id": "node_2552", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 225.43 kg\n Factor of Safety: 0.67\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.42579253321884, + "fos_buckling": 0.6730864527184466, + "fos_yielding": 1.9622594872097192, + "deflection": 0.005177751764056162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_2551", + "improvement_over_parent": null + }, + "node_2553": { + "node_id": "node_2553", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 226.91 kg\n Factor of Safety: 0.67\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.90587161818883, + "fos_buckling": 0.673001715950798, + "fos_yielding": 1.9622135997903607, + "deflection": 0.005178125703836157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.397)" + }, + "parent_node_id": "node_2552", + "improvement_over_parent": null + }, + "node_2554": { + "node_id": "node_2554", + "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 229.72 kg\n Factor of Safety: 0.67\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.72475576664465, + "fos_buckling": 0.6728403895654025, + "fos_yielding": 2.468879253929415, + "deflection": 0.0050468703319051355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.458)" + }, + "parent_node_id": "node_2553", + "improvement_over_parent": null + }, + "node_2555": { + "node_id": "node_2555", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.98 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.9798818485368, + "fos_buckling": 1.4355655091340058, + "fos_yielding": 2.7181002040811237, + "deflection": 0.0038878676142765005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_2554", + "improvement_over_parent": null + }, + "node_2556": { + "node_id": "node_2556", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5386700366864, + "fos_buckling": 1.5408126371755686, + "fos_yielding": 2.6494250845840392, + "deflection": 0.003959570231018099, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_2555", + "improvement_over_parent": null + }, + "node_2557": { + "node_id": "node_2557", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2556", + "improvement_over_parent": null + }, + "node_2558": { + "node_id": "node_2558", + "content": "INITIAL DESIGN (Trace 366)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 198.95 kg\n Factor of Safety: 0.96\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.94697910354148, + "fos_buckling": 0.964742646280038, + "fos_yielding": 1.4160963258495625, + "deflection": 0.005582991148238612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2559": { + "node_id": "node_2559", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 245.32 kg\n Factor of Safety: 1.17\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.32211479476038, + "fos_buckling": 1.1662015777888985, + "fos_yielding": 1.75332890573026, + "deflection": 0.004530862533832913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_2558", + "improvement_over_parent": null + }, + "node_2560": { + "node_id": "node_2560", + "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.59 kg\n Factor of Safety: 1.16\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.58707341587913, + "fos_buckling": 1.1646140343562315, + "fos_yielding": 1.7552925228211265, + "deflection": 0.004500542058677061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.196)" + }, + "parent_node_id": "node_2559", + "improvement_over_parent": null + }, + "node_2561": { + "node_id": "node_2561", + "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.19 kg\n Factor of Safety: 1.15\n Max Deflection: 4.21e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.19097477749656, + "fos_buckling": 1.147151591812534, + "fos_yielding": 2.0234539386285118, + "deflection": 0.00421145384968012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.587)" + }, + "parent_node_id": "node_2560", + "improvement_over_parent": null + }, + "node_2562": { + "node_id": "node_2562", + "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.99 kg\n Factor of Safety: 1.28\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.98689746305703, + "fos_buckling": 1.2760991145683798, + "fos_yielding": 2.6821739759975376, + "deflection": 0.004038642718897564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.453)" + }, + "parent_node_id": "node_2561", + "improvement_over_parent": null + }, + "node_2563": { + "node_id": "node_2563", + "content": "MODIFICATION: Increase 15 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.59876675547747, + "fos_buckling": 1.541240663943928, + "fos_yielding": 2.6494037468649534, + "deflection": 0.003959004342463842, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.553)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 367)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 163.20 kg\n Factor of Safety: 0.55\n Max Deflection: 4.12e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.1958493521843, + "fos_buckling": 0.546928255851798, + "fos_yielding": 2.1760032669796754, + "deflection": 4116514748190.7812, + "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: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 206.24 kg\n Factor of Safety: 0.54\n Max Deflection: 7.27e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.23877720498544, + "fos_buckling": 0.537953740420117, + "fos_yielding": 2.4147327524677316, + "deflection": 7270375410513.732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2565", + "improvement_over_parent": null + }, + "node_2567": { + "node_id": "node_2567", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 212.88 kg\n Factor of Safety: 0.59\n Max Deflection: 4.73e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.88137743380477, + "fos_buckling": 0.5920532755254118, + "fos_yielding": 1.439566166758459, + "deflection": 4729755243818.245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_2566", + "improvement_over_parent": null + }, + "node_2568": { + "node_id": "node_2568", + "content": "MODIFICATION: Increase 11 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0080)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 222.59 kg\n Factor of Safety: 0.57\n Max Deflection: 4.87e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.58803740691764, + "fos_buckling": 0.5721425474328977, + "fos_yielding": 1.6860595295888616, + "deflection": 4866184913580.356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.346)" + }, + "parent_node_id": "node_2567", + "improvement_over_parent": null + }, + "node_2569": { + "node_id": "node_2569", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0080)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 236.34 kg\n Factor of Safety: 0.00\n Max Deflection: 1.10e+15 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.33750587310504, + "fos_buckling": 0.001277103900519861, + "fos_yielding": 0.006724947394473462, + "deflection": 1099704914629668.6, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_2568", + "improvement_over_parent": null + }, + "node_2570": { + "node_id": "node_2570", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0080)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 241.05 kg\n Factor of Safety: 0.53\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.05432512246662, + "fos_buckling": 0.5338568129731441, + "fos_yielding": 2.204068323222031, + "deflection": 0.005259162483728627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_2569", + "improvement_over_parent": null + }, + "node_2571": { + "node_id": "node_2571", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0080)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 262.31 kg\n Factor of Safety: 1.34\n Max Deflection: 3.97e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.30945120435877, + "fos_buckling": 1.3445630991644892, + "fos_yielding": 2.2492856187491888, + "deflection": 0.003972512121822577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_2570", + "improvement_over_parent": null + }, + "node_2572": { + "node_id": "node_2572", + "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0080)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 264.78 kg\n Factor of Safety: 1.34\n Max Deflection: 3.90e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.77921537110973, + "fos_buckling": 1.3433971613217186, + "fos_yielding": 2.659753910531094, + "deflection": 0.0039000536660757355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.460)" + }, + "parent_node_id": "node_2571", + "improvement_over_parent": null + }, + "node_2573": { + "node_id": "node_2573", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2572", + "improvement_over_parent": null + }, + "node_2574": { + "node_id": "node_2574", + "content": "INITIAL DESIGN (Trace 368)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 180.41 kg\n Factor of Safety: 1.09\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.40888283820556, + "fos_buckling": 1.0927520254820409, + "fos_yielding": 1.5516265507956877, + "deflection": 0.005844457295149999, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2575": { + "node_id": "node_2575", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 200.09 kg\n Factor of Safety: 1.20\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.09345477244176, + "fos_buckling": 1.1963354740581087, + "fos_yielding": 1.7225236174485314, + "deflection": 0.00527387607122704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2574", + "improvement_over_parent": null + }, + "node_2576": { + "node_id": "node_2576", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.82 kg\n Factor of Safety: 1.47\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.82219240850645, + "fos_buckling": 1.468226465807082, + "fos_yielding": 2.2000272808771855, + "deflection": 0.004150568998801598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_2575", + "improvement_over_parent": null + }, + "node_2577": { + "node_id": "node_2577", + "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.43 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.43077124508665, + "fos_buckling": 1.5403400966638174, + "fos_yielding": 2.6483475982650404, + "deflection": 0.003961372490725253, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.443)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 369)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 169.45 kg\n Factor of Safety: 0.04\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": 169.45384383146376, + "fos_buckling": 0.0358220365609773, + "fos_yielding": 0.4481323260440297, + "deflection": 0.023620605189955166, + "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 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 202.67 kg\n Factor of Safety: 0.04\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": 202.67035995049542, + "fos_buckling": 0.04179292797684372, + "fos_yielding": 0.5351706463598905, + "deflection": 0.019780697806304596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_2579", + "improvement_over_parent": null + }, + "node_2581": { + "node_id": "node_2581", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.07 kg\n Factor of Safety: 0.05\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": 246.06994266660772, + "fos_buckling": 0.049080946774179006, + "fos_yielding": 0.6484932339978213, + "deflection": 0.016325491213173803, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_2580", + "improvement_over_parent": null + }, + "node_2582": { + "node_id": "node_2582", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.18 kg\n Factor of Safety: 0.05\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": 248.1839066446856, + "fos_buckling": 0.04907439167082102, + "fos_yielding": 0.648406623195561, + "deflection": 0.015989404546854984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.295)" + }, + "parent_node_id": "node_2581", + "improvement_over_parent": null + }, + "node_2583": { + "node_id": "node_2583", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.75 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7470476239054, + "fos_buckling": 1.5419405992668405, + "fos_yielding": 2.65158456449694, + "deflection": 0.003956862879683574, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_2582", + "improvement_over_parent": null + }, + "node_2584": { + "node_id": "node_2584", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2583", + "improvement_over_parent": null + }, + "node_2585": { + "node_id": "node_2585", + "content": "INITIAL DESIGN (Trace 370)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 189.95 kg\n Factor of Safety: 0.87\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.9523276947269, + "fos_buckling": 0.8710287623549658, + "fos_yielding": 1.9894637772533763, + "deflection": 0.005632388277042898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2586": { + "node_id": "node_2586", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 205.56 kg\n Factor of Safety: 0.94\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.55792654705454, + "fos_buckling": 0.9381168944220416, + "fos_yielding": 2.1415835764911026, + "deflection": 0.004900503962277095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003667)" + }, + "parent_node_id": "node_2585", + "improvement_over_parent": null + }, + "node_2587": { + "node_id": "node_2587", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 251.50 kg\n Factor of Safety: 1.13\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.50001620605636, + "fos_buckling": 1.1250283467512043, + "fos_yielding": 2.614698496420879, + "deflection": 0.0040160350752882455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_2586", + "improvement_over_parent": null + }, + "node_2588": { + "node_id": "node_2588", + "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 253.77 kg\n Factor of Safety: 1.25\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.76857328745993, + "fos_buckling": 1.2481358322390925, + "fos_yielding": 2.624326284178915, + "deflection": 0.004034558766173072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.447)" + }, + "parent_node_id": "node_2587", + "improvement_over_parent": null + }, + "node_2589": { + "node_id": "node_2589", + "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5096143289859, + "fos_buckling": 1.5407147944543282, + "fos_yielding": 2.6491502693255793, + "deflection": 0.003960175830491675, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.658)" + }, + "parent_node_id": "node_2588", + "improvement_over_parent": null + }, + "node_2590": { + "node_id": "node_2590", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2589", + "improvement_over_parent": null + }, + "node_2591": { + "node_id": "node_2591", + "content": "INITIAL DESIGN (Trace 371)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 171.01 kg\n Factor of Safety: 0.49\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.00853260530184, + "fos_buckling": 0.48824519453569354, + "fos_yielding": 1.8306564694555387, + "deflection": 0.005838347948827059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2592": { + "node_id": "node_2592", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 187.82 kg\n Factor of Safety: 0.95\n Max Deflection: 4.52e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.82039557828531, + "fos_buckling": 0.9513467638845594, + "fos_yielding": 2.1859308900727634, + "deflection": 0.004521042443712314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003765)" + }, + "parent_node_id": "node_2591", + "improvement_over_parent": null + }, + "node_2593": { + "node_id": "node_2593", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 194.11 kg\n Factor of Safety: 0.95\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.10986937398428, + "fos_buckling": 0.9510046146200104, + "fos_yielding": 2.186704026370846, + "deflection": 0.004975681282834554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002555)" + }, + "parent_node_id": "node_2592", + "improvement_over_parent": null + }, + "node_2594": { + "node_id": "node_2594", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n Mass: 199.37 kg\n Factor of Safety: 0.96\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.3715379976082, + "fos_buckling": 0.9555566765561356, + "fos_yielding": 2.140288364793106, + "deflection": 0.0050526897208918705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002106)" + }, + "parent_node_id": "node_2593", + "improvement_over_parent": null + }, + "node_2595": { + "node_id": "node_2595", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n Mass: 200.77 kg\n Factor of Safety: 1.23\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.76629747483184, + "fos_buckling": 1.2288034400481187, + "fos_yielding": 2.141143911185954, + "deflection": 0.005008726814456348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.626)" + }, + "parent_node_id": "node_2594", + "improvement_over_parent": null + }, + "node_2596": { + "node_id": "node_2596", + "content": "MODIFICATION: Increase 14 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n Mass: 207.21 kg\n Factor of Safety: 1.19\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.20748685591195, + "fos_buckling": 1.191881923965655, + "fos_yielding": 2.118741949501235, + "deflection": 0.004926798110844112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.661)" + }, + "parent_node_id": "node_2595", + "improvement_over_parent": null + }, + "node_2597": { + "node_id": "node_2597", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0064)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 258.13 kg\n Factor of Safety: 1.46\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.1328448258638, + "fos_buckling": 1.4567148236058616, + "fos_yielding": 2.635839107073872, + "deflection": 0.0039638526338225295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2596", + "improvement_over_parent": null + }, + "node_2598": { + "node_id": "node_2598", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2597", + "improvement_over_parent": null + }, + "node_2599": { + "node_id": "node_2599", + "content": "INITIAL DESIGN (Trace 372)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 161.39 kg\n Factor of Safety: 0.04\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": 161.3852095552083, + "fos_buckling": 0.035037207884257925, + "fos_yielding": 0.437029872230087, + "deflection": 0.023750603423910194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2600": { + "node_id": "node_2600", + "content": "MODIFICATION: Increase 17 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 163.58 kg\n Factor of Safety: 0.04\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.58130905387492, + "fos_buckling": 0.03503354926885674, + "fos_yielding": 0.43698423719470975, + "deflection": 0.023754724628813485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.196)" + }, + "parent_node_id": "node_2599", + "improvement_over_parent": null + }, + "node_2601": { + "node_id": "node_2601", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 194.07 kg\n Factor of Safety: 0.04\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": 194.0697335254991, + "fos_buckling": 0.04061812305730559, + "fos_yielding": 0.5176755243182077, + "deflection": 0.020058409111926623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_2600", + "improvement_over_parent": null + }, + "node_2602": { + "node_id": "node_2602", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.45 kg\n Factor of Safety: 0.05\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": 243.44528695547373, + "fos_buckling": 0.049039809237959184, + "fos_yielding": 0.6478477474830919, + "deflection": 0.0160362642737885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_2601", + "improvement_over_parent": null + }, + "node_2603": { + "node_id": "node_2603", + "content": "MODIFICATION: Increase 11 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 244.60 kg\n Factor of Safety: 0.05\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": 244.5986623340074, + "fos_buckling": 0.049039809237959184, + "fos_yielding": 0.6478477474830919, + "deflection": 0.016024859430767174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.195)" + }, + "parent_node_id": "node_2602", + "improvement_over_parent": null + }, + "node_2604": { + "node_id": "node_2604", + "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.95 kg\n Factor of Safety: 0.05\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": 247.95437036739972, + "fos_buckling": 0.04903980923795914, + "fos_yielding": 0.6478477474830914, + "deflection": 0.016003168746331023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.495)" + }, + "parent_node_id": "node_2603", + "improvement_over_parent": null + }, + "node_2605": { + "node_id": "node_2605", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.51751134661953, + "fos_buckling": 1.5408390954429483, + "fos_yielding": 2.649360395782123, + "deflection": 0.003960076891696847, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_2604", + "improvement_over_parent": null + }, + "node_2606": { + "node_id": "node_2606", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2605", + "improvement_over_parent": null + }, + "node_2607": { + "node_id": "node_2607", + "content": "INITIAL DESIGN (Trace 373)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 228.46 kg\n Factor of Safety: 0.47\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.4622909729242, + "fos_buckling": 0.47002440729194644, + "fos_yielding": 2.2686000632131327, + "deflection": 0.005953524935647405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2608": { + "node_id": "node_2608", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 235.10 kg\n Factor of Safety: 0.93\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.10489120174353, + "fos_buckling": 0.9271393652057931, + "fos_yielding": 2.6219811393921626, + "deflection": 0.004642184509284751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_2607", + "improvement_over_parent": null + }, + "node_2609": { + "node_id": "node_2609", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 253.09 kg\n Factor of Safety: 1.24\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.09425576840343, + "fos_buckling": 1.2379012816628623, + "fos_yielding": 2.6428537112127195, + "deflection": 0.004000733924137707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_2608", + "improvement_over_parent": null + }, + "node_2610": { + "node_id": "node_2610", + "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 255.95 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.94526345223036, + "fos_buckling": 1.539084723626297, + "fos_yielding": 2.6582808817261254, + "deflection": 0.00395030491115809, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.439)" + }, + "parent_node_id": "node_2609", + "improvement_over_parent": null + }, + "node_2611": { + "node_id": "node_2611", + "content": "MODIFICATION: Increase 16 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0060)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 261.48 kg\n Factor of Safety: 1.48\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.48487425846105, + "fos_buckling": 1.4813754734805347, + "fos_yielding": 2.6533386853607164, + "deflection": 0.00392182020896464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.350)" + }, + "parent_node_id": "node_2610", + "improvement_over_parent": null + }, + "node_2612": { + "node_id": "node_2612", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2611", + "improvement_over_parent": null + }, + "node_2613": { + "node_id": "node_2613", + "content": "INITIAL DESIGN (Trace 374)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 145.07 kg\n Factor of Safety: 0.43\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.0697681358328, + "fos_buckling": 0.43240460046845797, + "fos_yielding": 1.5962856617305352, + "deflection": 0.00785347200554166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2614": { + "node_id": "node_2614", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n Mass: 149.65 kg\n Factor of Safety: 0.50\n Max Deflection: 8.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.65310815677861, + "fos_buckling": 0.49654819118860805, + "fos_yielding": 1.5956545896640286, + "deflection": 0.008038405699580174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001817)" + }, + "parent_node_id": "node_2613", + "improvement_over_parent": null + }, + "node_2615": { + "node_id": "node_2615", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 164.30 kg\n Factor of Safety: 0.69\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.29620007458908, + "fos_buckling": 0.6868512135236993, + "fos_yielding": 1.8492404835722591, + "deflection": 0.00660885148196335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003248)" + }, + "parent_node_id": "node_2614", + "improvement_over_parent": null + }, + "node_2616": { + "node_id": "node_2616", + "content": "MODIFICATION: Increase 17 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0044)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 168.97 kg\n Factor of Safety: 0.87\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.9663268154782, + "fos_buckling": 0.8685725940365842, + "fos_yielding": 1.8490495723619584, + "deflection": 0.006375934455655009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.342)" + }, + "parent_node_id": "node_2615", + "improvement_over_parent": null + }, + "node_2617": { + "node_id": "node_2617", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0053)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 200.57 kg\n Factor of Safety: 0.99\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.56912816468522, + "fos_buckling": 0.9937503271010563, + "fos_yielding": 2.192331993089226, + "deflection": 0.005381295919460476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_2616", + "improvement_over_parent": null + }, + "node_2618": { + "node_id": "node_2618", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0053)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 215.49 kg\n Factor of Safety: 1.30\n Max Deflection: 4.74e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.48817965754807, + "fos_buckling": 1.2964046079364282, + "fos_yielding": 2.2061559995549462, + "deflection": 0.004736605914125139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003615)" + }, + "parent_node_id": "node_2617", + "improvement_over_parent": null + }, + "node_2619": { + "node_id": "node_2619", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0065)]\n M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 259.91 kg\n Factor of Safety: 1.52\n Max Deflection: 3.94e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 259.9104584529889, + "fos_buckling": 1.5171958855636583, + "fos_yielding": 2.6567442356300606, + "deflection": 0.003935685195106991, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_2618", + "improvement_over_parent": null + }, + "node_2620": { + "node_id": "node_2620", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2619", + "improvement_over_parent": null + }, + "node_2621": { + "node_id": "node_2621", + "content": "INITIAL DESIGN (Trace 375)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 208.66 kg\n Factor of Safety: 1.11\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.66322412138226, + "fos_buckling": 1.1137352293977167, + "fos_yielding": 2.222286205739614, + "deflection": 0.0048313339994410336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2622": { + "node_id": "node_2622", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n Mass: 214.26 kg\n Factor of Safety: 1.33\n Max Deflection: 4.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.2596101948375, + "fos_buckling": 1.3307192647781902, + "fos_yielding": 2.23539203371019, + "deflection": 0.0047246731894450954, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002479)" + }, + "parent_node_id": "node_2621", + "improvement_over_parent": null + }, + "node_2623": { + "node_id": "node_2623", + "content": "MODIFICATION: Increase 19 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0049)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n Mass: 218.05 kg\n Factor of Safety: 1.34\n Max Deflection: 4.67e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.04954707056348, + "fos_buckling": 1.3374723910137467, + "fos_yielding": 2.234367987408941, + "deflection": 0.004673056809765607, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.233)" + }, + "parent_node_id": "node_2622", + "improvement_over_parent": null + }, + "node_2624": { + "node_id": "node_2624", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0059)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 258.69 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.6938743554234, + "fos_buckling": 1.540838703932135, + "fos_yielding": 2.6465511084609625, + "deflection": 0.003947571327726743, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_2623", + "improvement_over_parent": null + }, + "node_2625": { + "node_id": "node_2625", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2624", + "improvement_over_parent": null + }, + "node_2626": { + "node_id": "node_2626", + "content": "INITIAL DESIGN (Trace 376)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 196.61 kg\n Factor of Safety: 0.19\n Max Deflection: 9.81e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.6111389172072, + "fos_buckling": 0.1945465213614984, + "fos_yielding": 1.1234740855864342, + "deflection": 0.009807684083656525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2627": { + "node_id": "node_2627", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 197.77 kg\n Factor of Safety: 0.22\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.76700973149406, + "fos_buckling": 0.22226903076035187, + "fos_yielding": 1.3176989028145085, + "deflection": 0.009358634953039227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.190)" + }, + "parent_node_id": "node_2626", + "improvement_over_parent": null + }, + "node_2628": { + "node_id": "node_2628", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 219.02 kg\n Factor of Safety: 0.22\n Max Deflection: 8.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.0221358133862, + "fos_buckling": 0.22226903076035176, + "fos_yielding": 1.317698902814508, + "deflection": 0.00878041281381098, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_2627", + "improvement_over_parent": null + }, + "node_2629": { + "node_id": "node_2629", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 250.97 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.9720781871237, + "fos_buckling": 1.4357162493954303, + "fos_yielding": 2.718101723971116, + "deflection": 0.0038881170464361843, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_2628", + "improvement_over_parent": null + }, + "node_2630": { + "node_id": "node_2630", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5308663752733, + "fos_buckling": 1.5408089828685056, + "fos_yielding": 2.649371203167357, + "deflection": 0.003959873861411257, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_2629", + "improvement_over_parent": null + }, + "node_2631": { + "node_id": "node_2631", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2630", + "improvement_over_parent": null + }, + "node_2632": { + "node_id": "node_2632", + "content": "INITIAL DESIGN (Trace 377)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 141.59 kg\n Factor of Safety: 0.03\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": 141.5860169191466, + "fos_buckling": 0.03136193219175323, + "fos_yielding": 0.3859976309480809, + "deflection": 0.027200893886249345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2633": { + "node_id": "node_2633", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n\nPerformance:\n Mass: 147.26 kg\n Factor of Safety: 0.89\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.2606914259382, + "fos_buckling": 0.8877903415561922, + "fos_yielding": 1.5826760348849709, + "deflection": 0.006857223463622161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002417)" + }, + "parent_node_id": "node_2632", + "improvement_over_parent": null + }, + "node_2634": { + "node_id": "node_2634", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n\nPerformance:\n Mass: 171.98 kg\n Factor of Safety: 1.02\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.9757336865961, + "fos_buckling": 1.0233886783904211, + "fos_yielding": 1.8456432151363227, + "deflection": 0.005880137122879408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2633", + "improvement_over_parent": null + }, + "node_2635": { + "node_id": "node_2635", + "content": "MODIFICATION: Increase 19 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n\nPerformance:\n Mass: 176.58 kg\n Factor of Safety: 1.02\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.58264273012722, + "fos_buckling": 1.022709121850905, + "fos_yielding": 1.844591362871104, + "deflection": 0.005798642242527374, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.340)" + }, + "parent_node_id": "node_2634", + "improvement_over_parent": null + }, + "node_2636": { + "node_id": "node_2636", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0051)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.17\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.00515906463608, + "fos_buckling": 1.1652504917807445, + "fos_yielding": 2.1285631066427406, + "deflection": 0.005025786540188554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_2635", + "improvement_over_parent": null + }, + "node_2637": { + "node_id": "node_2637", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0035)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0051)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n Mass: 206.06 kg\n Factor of Safety: 1.14\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.0594593962029, + "fos_buckling": 1.1375905876870405, + "fos_yielding": 2.134675466254499, + "deflection": 0.0050424128440042845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.362)" + }, + "parent_node_id": "node_2636", + "improvement_over_parent": null + }, + "node_2638": { + "node_id": "node_2638", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0065)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.71 kg\n Factor of Safety: 1.39\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.71328253403857, + "fos_buckling": 1.387099623352031, + "fos_yielding": 2.664526306341042, + "deflection": 0.004039951017224949, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2637", + "improvement_over_parent": null + }, + "node_2639": { + "node_id": "node_2639", + "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0065)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 259.62 kg\n Factor of Safety: 1.39\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.6239886461884, + "fos_buckling": 1.3863782180107835, + "fos_yielding": 2.6630455591146465, + "deflection": 0.003979926386835831, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.572)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 378)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 166.05 kg\n Factor of Safety: 0.07\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": 166.0453188886059, + "fos_buckling": 0.06956399038826447, + "fos_yielding": 0.8775992223641005, + "deflection": 0.013796356791422017, + "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: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n Mass: 181.52 kg\n Factor of Safety: 0.37\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.52005697165714, + "fos_buckling": 0.36683819504489806, + "fos_yielding": 1.8420138989580854, + "deflection": 0.006087686750471122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003445)" + }, + "parent_node_id": "node_2641", + "improvement_over_parent": null + }, + "node_2643": { + "node_id": "node_2643", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 220.50 kg\n Factor of Safety: 0.43\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.5025028384242, + "fos_buckling": 0.43415038391070254, + "fos_yielding": 2.233725680098684, + "deflection": 0.005021173369650545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_2642", + "improvement_over_parent": null + }, + "node_2644": { + "node_id": "node_2644", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n\nPerformance:\n Mass: 229.45 kg\n Factor of Safety: 1.40\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.45018711247107, + "fos_buckling": 1.3974463650973046, + "fos_yielding": 2.3804611343026076, + "deflection": 0.004456249804547904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003252)" + }, + "parent_node_id": "node_2643", + "improvement_over_parent": null + }, + "node_2645": { + "node_id": "node_2645", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 255.77 kg\n Factor of Safety: 1.53\n Max Deflection: 4.00e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.7730354927873, + "fos_buckling": 1.5260646484219456, + "fos_yielding": 2.6502042774937555, + "deflection": 0.004003484744845654, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_2644", + "improvement_over_parent": null + }, + "node_2646": { + "node_id": "node_2646", + "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.50 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.50014248691303, + "fos_buckling": 1.540656886212228, + "fos_yielding": 2.6490276351469593, + "deflection": 0.003960353412994344, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.493)" + }, + "parent_node_id": "node_2645", + "improvement_over_parent": null + }, + "node_2647": { + "node_id": "node_2647", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2646", + "improvement_over_parent": null + }, + "node_2648": { + "node_id": "node_2648", + "content": "INITIAL DESIGN (Trace 379)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\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_2649": { + "node_id": "node_2649", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 252.81 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.81166956822548, + "fos_buckling": 0.9256657859827703, + "fos_yielding": 2.6298315131439494, + "deflection": 0.004580471145244014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_2648", + "improvement_over_parent": null + }, + "node_2650": { + "node_id": "node_2650", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52848881758706, + "fos_buckling": 1.5408269598197764, + "fos_yielding": 2.6493666039954746, + "deflection": 0.00395991607993641, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_2649", + "improvement_over_parent": null + }, + "node_2651": { + "node_id": "node_2651", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2650", + "improvement_over_parent": null + }, + "node_2652": { + "node_id": "node_2652", + "content": "INITIAL DESIGN (Trace 380)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 164.40 kg\n Factor of Safety: 0.67\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.4008773406796, + "fos_buckling": 0.6651329851851072, + "fos_yielding": 1.6473059031483015, + "deflection": 0.00647001677662356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2653": { + "node_id": "node_2653", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n Mass: 168.90 kg\n Factor of Safety: 0.33\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.90112281435887, + "fos_buckling": 0.3342437905887592, + "fos_yielding": 1.7082397430231724, + "deflection": 0.0065538170508520135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001782)" + }, + "parent_node_id": "node_2652", + "improvement_over_parent": null + }, + "node_2654": { + "node_id": "node_2654", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n Mass: 216.02 kg\n Factor of Safety: 0.41\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.024159910265, + "fos_buckling": 0.4144947529189069, + "fos_yielding": 2.180397169915341, + "deflection": 0.005135982873599622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_2653", + "improvement_over_parent": null + }, + "node_2655": { + "node_id": "node_2655", + "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n Mass: 217.23 kg\n Factor of Safety: 0.42\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.23358592007295, + "fos_buckling": 0.420116621486424, + "fos_yielding": 2.182893032159856, + "deflection": 0.005095100703395411, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.447)" + }, + "parent_node_id": "node_2654", + "improvement_over_parent": null + }, + "node_2656": { + "node_id": "node_2656", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n Mass: 225.99 kg\n Factor of Safety: 1.38\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.99102738413492, + "fos_buckling": 1.3837092823505026, + "fos_yielding": 2.3282510363329862, + "deflection": 0.0045043274891265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003177)" + }, + "parent_node_id": "node_2655", + "improvement_over_parent": null + }, + "node_2657": { + "node_id": "node_2657", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.26 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.25973371401244, + "fos_buckling": 1.5394871805443497, + "fos_yielding": 2.6466133106827083, + "deflection": 0.003963984164328278, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_2656", + "improvement_over_parent": null + }, + "node_2658": { + "node_id": "node_2658", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2657", + "improvement_over_parent": null + }, + "node_2659": { + "node_id": "node_2659", + "content": "INITIAL DESIGN (Trace 381)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 176.39 kg\n Factor of Safety: 0.54\n Max Deflection: 6.92e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.3870045886291, + "fos_buckling": 0.5380014482200074, + "fos_yielding": 1.8909354866183272, + "deflection": 0.006917012871636253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2660": { + "node_id": "node_2660", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n\nPerformance:\n Mass: 209.23 kg\n Factor of Safety: 0.62\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.23101633310807, + "fos_buckling": 0.6204694080386781, + "fos_yielding": 2.236704482060429, + "deflection": 0.005841987455483328, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_2659", + "improvement_over_parent": null + }, + "node_2661": { + "node_id": "node_2661", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 228.46 kg\n Factor of Safety: 1.12\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.4559756270199, + "fos_buckling": 1.1160075897757724, + "fos_yielding": 2.404309494652127, + "deflection": 0.00443968803240058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004317)" + }, + "parent_node_id": "node_2660", + "improvement_over_parent": null + }, + "node_2662": { + "node_id": "node_2662", + "content": "MODIFICATION: Increase 19 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 231.24 kg\n Factor of Safety: 1.12\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.23705016241533, + "fos_buckling": 1.11639640322713, + "fos_yielding": 2.4049917003199717, + "deflection": 0.00440838171480086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.224)" + }, + "parent_node_id": "node_2661", + "improvement_over_parent": null + }, + "node_2663": { + "node_id": "node_2663", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.66 kg\n Factor of Safety: 1.22\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.65695005590246, + "fos_buckling": 1.223868228777468, + "fos_yielding": 2.655818585038357, + "deflection": 0.003992795096805425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2662", + "improvement_over_parent": null + }, + "node_2664": { + "node_id": "node_2664", + "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.543812013494, + "fos_buckling": 1.5409169422750413, + "fos_yielding": 2.6496193695283883, + "deflection": 0.003959631121412871, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.664)" + }, + "parent_node_id": "node_2663", + "improvement_over_parent": null + }, + "node_2665": { + "node_id": "node_2665", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2664", + "improvement_over_parent": null + }, + "node_2666": { + "node_id": "node_2666", + "content": "INITIAL DESIGN (Trace 382)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 197.85 kg\n Factor of Safety: 0.62\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.8453413072223, + "fos_buckling": 0.6203271603949554, + "fos_yielding": 2.047634728132067, + "deflection": 0.004800980128739254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2667": { + "node_id": "node_2667", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.68 kg\n Factor of Safety: 0.76\n Max Deflection: 3.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.68250901952342, + "fos_buckling": 0.7574557269154563, + "fos_yielding": 2.5681379862848557, + "deflection": 0.003831736929235097, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_2666", + "improvement_over_parent": null + }, + "node_2668": { + "node_id": "node_2668", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.77 kg\n Factor of Safety: 0.73\n Max Deflection: 3.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.76834741468926, + "fos_buckling": 0.7292132097556157, + "fos_yielding": 2.5625672304012532, + "deflection": 0.0038145551343069842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.304)" + }, + "parent_node_id": "node_2667", + "improvement_over_parent": null + }, + "node_2669": { + "node_id": "node_2669", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.61 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6071104326687, + "fos_buckling": 1.5412076033075988, + "fos_yielding": 2.6501376703287813, + "deflection": 0.003958698472375994, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_2668", + "improvement_over_parent": null + }, + "node_2670": { + "node_id": "node_2670", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2669", + "improvement_over_parent": null + }, + "node_2671": { + "node_id": "node_2671", + "content": "INITIAL DESIGN (Trace 383)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 164.41 kg\n Factor of Safety: 0.80\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.40685994149237, + "fos_buckling": 0.802692236952935, + "fos_yielding": 1.6494913752132065, + "deflection": 0.005825574405406484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2672": { + "node_id": "node_2672", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 199.61 kg\n Factor of Safety: 0.96\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.6148983486865, + "fos_buckling": 0.9637384321369973, + "fos_yielding": 2.006421938512001, + "deflection": 0.004809543839489975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_2671", + "improvement_over_parent": null + }, + "node_2673": { + "node_id": "node_2673", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.13 kg\n Factor of Safety: 1.17\n Max Deflection: 3.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.12842419566306, + "fos_buckling": 1.1747404550083116, + "fos_yielding": 2.490823573085773, + "deflection": 0.0038974128426830534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_2672", + "improvement_over_parent": null + }, + "node_2674": { + "node_id": "node_2674", + "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.98 kg\n Factor of Safety: 1.30\n Max Deflection: 3.86e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.97780694530903, + "fos_buckling": 1.3007793497778992, + "fos_yielding": 2.7174000024717393, + "deflection": 0.003859278261128217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.312)" + }, + "parent_node_id": "node_2673", + "improvement_over_parent": null + }, + "node_2675": { + "node_id": "node_2675", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 255.54 kg\n Factor of Safety: 1.53\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.53659513345863, + "fos_buckling": 1.5261491744905544, + "fos_yielding": 2.6394079618264343, + "deflection": 0.003946389800060382, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_2674", + "improvement_over_parent": null + }, + "node_2676": { + "node_id": "node_2676", + "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.43 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.43446522313286, + "fos_buckling": 1.5403065771388504, + "fos_yielding": 2.6483752105821816, + "deflection": 0.003961279910203514, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.351)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 384)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 172.00 kg\n Factor of Safety: 0.30\n Max Deflection: 6.16e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.00023054695677, + "fos_buckling": 0.3021437711540985, + "fos_yielding": 1.7551662667545984, + "deflection": 6161401988349.87, + "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: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 173.94 kg\n Factor of Safety: 0.30\n Max Deflection: 5.06e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.93980460503298, + "fos_buckling": 0.3021437711540985, + "fos_yielding": 1.7551662667545984, + "deflection": 5059254418708.07, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.368)" + }, + "parent_node_id": "node_2678", + "improvement_over_parent": null + }, + "node_2680": { + "node_id": "node_2680", + "content": "MODIFICATION: Increase 10 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 176.08 kg\n Factor of Safety: 0.20\n Max Deflection: 7.14e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.0794842057508, + "fos_buckling": 0.20142918076939903, + "fos_yielding": 1.1701108445030655, + "deflection": 7136227692892.673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.618)" + }, + "parent_node_id": "node_2679", + "improvement_over_parent": null + }, + "node_2681": { + "node_id": "node_2681", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 198.84 kg\n Factor of Safety: 0.09\n Max Deflection: 7.93e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.84302585210938, + "fos_buckling": 0.08801616179319277, + "fos_yielding": 0.4571661630491201, + "deflection": 7933322823820.903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_2680", + "improvement_over_parent": null + }, + "node_2682": { + "node_id": "node_2682", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 0.26\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.8462524607757, + "fos_buckling": 0.2606158163418735, + "fos_yielding": 1.456086630422466, + "deflection": 0.008457835356966766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_2681", + "improvement_over_parent": null + }, + "node_2683": { + "node_id": "node_2683", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 235.80 kg\n Factor of Safety: 0.67\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.79619483451322, + "fos_buckling": 0.6741224104059852, + "fos_yielding": 2.2748998544677086, + "deflection": 0.005119121960973749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_2682", + "improvement_over_parent": null + }, + "node_2684": { + "node_id": "node_2684", + "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 238.38 kg\n Factor of Safety: 0.68\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.38309780157965, + "fos_buckling": 0.6761945030905806, + "fos_yielding": 2.274899854467708, + "deflection": 0.005098638185710422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.255)" + }, + "parent_node_id": "node_2683", + "improvement_over_parent": null + }, + "node_2685": { + "node_id": "node_2685", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 259.34 kg\n Factor of Safety: 1.40\n Max Deflection: 3.95e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.33928180839524, + "fos_buckling": 1.4008122483213201, + "fos_yielding": 2.6469743241041743, + "deflection": 0.003954085009610505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_2684", + "improvement_over_parent": null + }, + "node_2686": { + "node_id": "node_2686", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2685", + "improvement_over_parent": null + }, + "node_2687": { + "node_id": "node_2687", + "content": "INITIAL DESIGN (Trace 385)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 141.43 kg\n Factor of Safety: 0.54\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": 141.427378821675, + "fos_buckling": 0.5372496600556514, + "fos_yielding": 1.0023185872456286, + "deflection": 0.01364930722754708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2688": { + "node_id": "node_2688", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n\nPerformance:\n Mass: 147.99 kg\n Factor of Safety: 0.60\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.98618415610386, + "fos_buckling": 0.6000122861234419, + "fos_yielding": 1.6029104010056374, + "deflection": 0.008862383798128858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002331)" + }, + "parent_node_id": "node_2687", + "improvement_over_parent": null + }, + "node_2689": { + "node_id": "node_2689", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n Mass: 151.28 kg\n Factor of Safety: 0.39\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.27703391916737, + "fos_buckling": 0.39473451475948385, + "fos_yielding": 1.693480061793313, + "deflection": 0.006656021008671243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001949)" + }, + "parent_node_id": "node_2688", + "improvement_over_parent": null + }, + "node_2690": { + "node_id": "node_2690", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n Mass: 156.43 kg\n Factor of Safety: 0.65\n Max Deflection: 6.91e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.43109662486404, + "fos_buckling": 0.6512777632956412, + "fos_yielding": 1.744694805570479, + "deflection": 0.006907452193760599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002066)" + }, + "parent_node_id": "node_2689", + "improvement_over_parent": null + }, + "node_2691": { + "node_id": "node_2691", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n Mass: 168.26 kg\n Factor of Safety: 1.07\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.26374350616047, + "fos_buckling": 1.0653469092570664, + "fos_yielding": 1.7555476310555418, + "deflection": 0.005975661771400429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002822)" + }, + "parent_node_id": "node_2690", + "improvement_over_parent": null + }, + "node_2692": { + "node_id": "node_2692", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 197.80 kg\n Factor of Safety: 1.24\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.80311436528478, + "fos_buckling": 1.2412177504532935, + "fos_yielding": 2.0607209596428326, + "deflection": 0.005092461275217947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2691", + "improvement_over_parent": null + }, + "node_2693": { + "node_id": "node_2693", + "content": "MODIFICATION: Increase 16 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0050)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 203.16 kg\n Factor of Safety: 1.22\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.1622774935608, + "fos_buckling": 1.2191013774630979, + "fos_yielding": 2.0594952341265493, + "deflection": 0.005017349791407308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.359)" + }, + "parent_node_id": "node_2692", + "improvement_over_parent": null + }, + "node_2694": { + "node_id": "node_2694", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 262.73 kg\n Factor of Safety: 1.54\n Max Deflection: 3.89e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 262.728652707793, + "fos_buckling": 1.539782933387176, + "fos_yielding": 2.6580825218440434, + "deflection": 0.003891744514773699, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 386)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 220.06 kg\n Factor of Safety: 0.65\n Max Deflection: 4.32e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.05836053568797, + "fos_buckling": 0.6533858771829013, + "fos_yielding": 2.260513774890772, + "deflection": 0.004321477336535713, + "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: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.70 kg\n Factor of Safety: 0.73\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.70039253097548, + "fos_buckling": 0.729084614372862, + "fos_yielding": 2.5619034612139506, + "deflection": 0.003815572382530665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2696", + "improvement_over_parent": null + }, + "node_2698": { + "node_id": "node_2698", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n Mass: 256.42 kg\n Factor of Safety: 1.53\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.41551278127974, + "fos_buckling": 1.5330623400471755, + "fos_yielding": 2.6445319631520023, + "deflection": 0.003951565435029435, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002742)" + }, + "parent_node_id": "node_2697", + "improvement_over_parent": null + }, + "node_2699": { + "node_id": "node_2699", + "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0043)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n Mass: 258.04 kg\n Factor of Safety: 1.53\n Max Deflection: 3.93e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.04426305239474, + "fos_buckling": 1.5311236481800277, + "fos_yielding": 2.651361893911932, + "deflection": 0.003930638892043254, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.183)" + }, + "parent_node_id": "node_2698", + "improvement_over_parent": null + }, + "node_2700": { + "node_id": "node_2700", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2699", + "improvement_over_parent": null + }, + "node_2701": { + "node_id": "node_2701", + "content": "INITIAL DESIGN (Trace 387)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 186.58 kg\n Factor of Safety: 0.05\n Max Deflection: 2.44e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.58214411664736, + "fos_buckling": 0.05075402489735486, + "fos_yielding": 0.6592611903609998, + "deflection": 0.024432398980741978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2702": { + "node_id": "node_2702", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n\nPerformance:\n Mass: 215.51 kg\n Factor of Safety: 0.36\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.51172504687665, + "fos_buckling": 0.36487118296716414, + "fos_yielding": 2.2176863167180683, + "deflection": 0.004819689670475991, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005299)" + }, + "parent_node_id": "node_2701", + "improvement_over_parent": null + }, + "node_2703": { + "node_id": "node_2703", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n Mass: 222.61 kg\n Factor of Safety: 0.43\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.60969198065212, + "fos_buckling": 0.4257179585795305, + "fos_yielding": 2.2493212501316706, + "deflection": 0.0049796988943512045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002912)" + }, + "parent_node_id": "node_2702", + "improvement_over_parent": null + }, + "node_2704": { + "node_id": "node_2704", + "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n Mass: 224.17 kg\n Factor of Safety: 0.43\n Max Deflection: 4.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.1695388486675, + "fos_buckling": 0.431545647064431, + "fos_yielding": 2.251898385600315, + "deflection": 0.004939186956716616, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.282)" + }, + "parent_node_id": "node_2703", + "improvement_over_parent": null + }, + "node_2705": { + "node_id": "node_2705", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n\nPerformance:\n Mass: 233.20 kg\n Factor of Safety: 1.42\n Max Deflection: 4.37e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.20068891555803, + "fos_buckling": 1.4203182245315686, + "fos_yielding": 2.4017320064856857, + "deflection": 0.00436689747067595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003285)" + }, + "parent_node_id": "node_2704", + "improvement_over_parent": null + }, + "node_2706": { + "node_id": "node_2706", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.60259314180854, + "fos_buckling": 1.5410708163100642, + "fos_yielding": 2.6500940454507127, + "deflection": 0.0039587960840029935, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_2705", + "improvement_over_parent": null + }, + "node_2707": { + "node_id": "node_2707", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2706", + "improvement_over_parent": null + }, + "node_2708": { + "node_id": "node_2708", + "content": "INITIAL DESIGN (Trace 388)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n\nPerformance:\n Mass: 178.38 kg\n Factor of Safety: 0.53\n Max Deflection: 6.72e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.37849446493453, + "fos_buckling": 0.5330134965544097, + "fos_yielding": 1.8713194608731065, + "deflection": 0.006720770801339077, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2709": { + "node_id": "node_2709", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 199.36 kg\n Factor of Safety: 0.59\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.36106945968305, + "fos_buckling": 0.5854163297821283, + "fos_yielding": 2.088005125597919, + "deflection": 0.00602167956714052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_2708", + "improvement_over_parent": null + }, + "node_2710": { + "node_id": "node_2710", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 217.30 kg\n Factor of Safety: 1.34\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.29647112461095, + "fos_buckling": 1.338883614097328, + "fos_yielding": 2.2395494234677473, + "deflection": 0.004682240317366652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004004)" + }, + "parent_node_id": "node_2709", + "improvement_over_parent": null + }, + "node_2711": { + "node_id": "node_2711", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.46 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4594095486434, + "fos_buckling": 1.5404736489516846, + "fos_yielding": 2.6486248149325853, + "deflection": 0.003960982181884419, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_2710", + "improvement_over_parent": null + }, + "node_2712": { + "node_id": "node_2712", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2711", + "improvement_over_parent": null + }, + "node_2713": { + "node_id": "node_2713", + "content": "INITIAL DESIGN (Trace 389)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 182.97 kg\n Factor of Safety: 0.75\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.969160903691, + "fos_buckling": 0.7508334261919205, + "fos_yielding": 1.8970926991330337, + "deflection": 0.005660998186178662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2714": { + "node_id": "node_2714", + "content": "MODIFICATION: Increase 4 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 184.39 kg\n Factor of Safety: 0.75\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.38611359939418, + "fos_buckling": 0.750802754873646, + "fos_yielding": 1.8970155487632268, + "deflection": 0.0056282896168338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.597)" + }, + "parent_node_id": "node_2713", + "improvement_over_parent": null + }, + "node_2715": { + "node_id": "node_2715", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 232.72 kg\n Factor of Safety: 0.91\n Max Deflection: 4.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.72045778053072, + "fos_buckling": 0.9118138264037589, + "fos_yielding": 2.3871126750755685, + "deflection": 0.0044724112965177825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_2714", + "improvement_over_parent": null + }, + "node_2716": { + "node_id": "node_2716", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 250.76 kg\n Factor of Safety: 1.42\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.7629939832784, + "fos_buckling": 1.418506791261495, + "fos_yielding": 2.6540772744958785, + "deflection": 0.004028900428915421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)" + }, + "parent_node_id": "node_2715", + "improvement_over_parent": null + }, + "node_2717": { + "node_id": "node_2717", + "content": "MODIFICATION: Increase 14 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 253.96 kg\n Factor of Safety: 1.42\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.95897725431544, + "fos_buckling": 1.417942424214077, + "fos_yielding": 2.649240105805495, + "deflection": 0.004003854029390724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.221)" + }, + "parent_node_id": "node_2716", + "improvement_over_parent": null + }, + "node_2718": { + "node_id": "node_2718", + "content": "MODIFICATION: Increase 20 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0054)]\n\nPerformance:\n Mass: 257.36 kg\n Factor of Safety: 1.41\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.36251300010986, + "fos_buckling": 1.4062747493038321, + "fos_yielding": 2.6457092678972005, + "deflection": 0.003985878592271831, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.212)" + }, + "parent_node_id": "node_2717", + "improvement_over_parent": null + }, + "node_2719": { + "node_id": "node_2719", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2718", + "improvement_over_parent": null + }, + "node_2720": { + "node_id": "node_2720", + "content": "INITIAL DESIGN (Trace 390)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 191.44 kg\n Factor of Safety: 0.74\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.44498545820576, + "fos_buckling": 0.7418586618068154, + "fos_yielding": 2.0204054936124227, + "deflection": 0.00600792790851137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2721": { + "node_id": "node_2721", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n\nPerformance:\n Mass: 195.05 kg\n Factor of Safety: 1.22\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.05389396959887, + "fos_buckling": 1.223346128513866, + "fos_yielding": 2.035032553799675, + "deflection": 0.005181913144823753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002223)" + }, + "parent_node_id": "node_2720", + "improvement_over_parent": null + }, + "node_2722": { + "node_id": "node_2722", + "content": "MODIFICATION: Increase 17 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n\nPerformance:\n Mass: 197.68 kg\n Factor of Safety: 1.23\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.68403592279677, + "fos_buckling": 1.230649731194831, + "fos_yielding": 2.0370278188755546, + "deflection": 0.005131867439423752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.178)" + }, + "parent_node_id": "node_2721", + "improvement_over_parent": null + }, + "node_2723": { + "node_id": "node_2723", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n Mass: 224.69 kg\n Factor of Safety: 1.37\n Max Deflection: 4.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.6896170532085, + "fos_buckling": 1.3721014846465494, + "fos_yielding": 2.3125759447012153, + "deflection": 0.004522126499659127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_2722", + "improvement_over_parent": null + }, + "node_2724": { + "node_id": "node_2724", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0056)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 258.20 kg\n Factor of Safety: 1.54\n Max Deflection: 3.94e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.20461074390744, + "fos_buckling": 1.5388195897156276, + "fos_yielding": 2.6536505571986155, + "deflection": 0.003942775839402573, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_2723", + "improvement_over_parent": null + }, + "node_2725": { + "node_id": "node_2725", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2724", + "improvement_over_parent": null + }, + "node_2726": { + "node_id": "node_2726", + "content": "INITIAL DESIGN (Trace 391)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 153.14 kg\n Factor of Safety: 0.33\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.1425463426206, + "fos_buckling": 0.3299268449501551, + "fos_yielding": 1.2909867055209665, + "deflection": 0.008228276274563807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2727": { + "node_id": "node_2727", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 167.55 kg\n Factor of Safety: 0.76\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.54938465347257, + "fos_buckling": 0.7640196917265396, + "fos_yielding": 1.3755896012713844, + "deflection": 0.0062679308029280414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003167)" + }, + "parent_node_id": "node_2726", + "improvement_over_parent": null + }, + "node_2728": { + "node_id": "node_2728", + "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 168.89 kg\n Factor of Safety: 0.76\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.89169546161585, + "fos_buckling": 0.7637478977753153, + "fos_yielding": 1.3751002461709316, + "deflection": 0.00623923640467155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.222)" + }, + "parent_node_id": "node_2727", + "improvement_over_parent": null + }, + "node_2729": { + "node_id": "node_2729", + "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 169.79 kg\n Factor of Safety: 0.77\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.78650816632356, + "fos_buckling": 0.769946120993908, + "fos_yielding": 1.386259921108874, + "deflection": 0.006219830929462319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.263)" + }, + "parent_node_id": "node_2728", + "improvement_over_parent": null + }, + "node_2730": { + "node_id": "node_2730", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 209.53 kg\n Factor of Safety: 0.94\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.52802089600578, + "fos_buckling": 0.9368764803855815, + "fos_yielding": 1.7151814977521505, + "deflection": 0.005048340456974514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_2729", + "improvement_over_parent": null + }, + "node_2731": { + "node_id": "node_2731", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.63 kg\n Factor of Safety: 1.10\n Max Deflection: 4.23e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.62505230911876, + "fos_buckling": 1.1041991854636732, + "fos_yielding": 2.0577835817154377, + "deflection": 0.004227466601927036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_2730", + "improvement_over_parent": null + }, + "node_2732": { + "node_id": "node_2732", + "content": "MODIFICATION: Increase 6 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 253.84 kg\n Factor of Safety: 1.23\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.83928509403646, + "fos_buckling": 1.2261668400923815, + "fos_yielding": 2.6475073250677137, + "deflection": 0.004011044535806333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.650)" + }, + "parent_node_id": "node_2731", + "improvement_over_parent": null + }, + "node_2733": { + "node_id": "node_2733", + "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.50909690956166, + "fos_buckling": 1.540693557340134, + "fos_yielding": 2.649136264160833, + "deflection": 0.003960279383994122, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.565)" + }, + "parent_node_id": "node_2732", + "improvement_over_parent": null + }, + "node_2734": { + "node_id": "node_2734", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2733", + "improvement_over_parent": null + }, + "node_2735": { + "node_id": "node_2735", + "content": "INITIAL DESIGN (Trace 392)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 190.48 kg\n Factor of Safety: 0.73\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.48269219980753, + "fos_buckling": 0.7277410526042237, + "fos_yielding": 1.834983919842664, + "deflection": 0.00613261407746304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2736": { + "node_id": "node_2736", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 206.07 kg\n Factor of Safety: 0.73\n Max Deflection: 5.64e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.07308243529403, + "fos_buckling": 0.7272026029772881, + "fos_yielding": 1.8336262303134883, + "deflection": 0.005639939394057836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003785)" + }, + "parent_node_id": "node_2735", + "improvement_over_parent": null + }, + "node_2737": { + "node_id": "node_2737", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n\nPerformance:\n Mass: 209.10 kg\n Factor of Safety: 1.00\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.104449626345, + "fos_buckling": 0.9974437137171988, + "fos_yielding": 2.285796531059798, + "deflection": 0.004847784951952224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001787)" + }, + "parent_node_id": "node_2736", + "improvement_over_parent": null + }, + "node_2738": { + "node_id": "node_2738", + "content": "MODIFICATION: Increase 14 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0041)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n\nPerformance:\n Mass: 211.77 kg\n Factor of Safety: 1.00\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.7698401431908, + "fos_buckling": 0.9990427840833682, + "fos_yielding": 2.2737046711519686, + "deflection": 0.004808038060372462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.248)" + }, + "parent_node_id": "node_2737", + "improvement_over_parent": null + }, + "node_2739": { + "node_id": "node_2739", + "content": "MODIFICATION: Increase 13 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0041)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n\nPerformance:\n Mass: 218.21 kg\n Factor of Safety: 0.92\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.2105028628778, + "fos_buckling": 0.9226150332227995, + "fos_yielding": 2.2646120510989314, + "deflection": 0.004732818525417274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.529)" + }, + "parent_node_id": "node_2738", + "improvement_over_parent": null + }, + "node_2740": { + "node_id": "node_2740", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0056)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n\nPerformance:\n Mass: 252.36 kg\n Factor of Safety: 1.05\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.3604669254724, + "fos_buckling": 1.054777617410765, + "fos_yielding": 2.615580659828329, + "deflection": 0.004098544043546342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_2739", + "improvement_over_parent": null + }, + "node_2741": { + "node_id": "node_2741", + "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0062)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0056)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n\nPerformance:\n Mass: 256.19 kg\n Factor of Safety: 1.06\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.19023055250705, + "fos_buckling": 1.0636845702072186, + "fos_yielding": 2.639399648004309, + "deflection": 0.0039892875235809245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.462)" + }, + "parent_node_id": "node_2740", + "improvement_over_parent": null + }, + "node_2742": { + "node_id": "node_2742", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2741", + "improvement_over_parent": null + }, + "node_2743": { + "node_id": "node_2743", + "content": "INITIAL DESIGN (Trace 393)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 211.24 kg\n Factor of Safety: 0.59\n Max Deflection: 8.34e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.2391467051092, + "fos_buckling": 0.5921185262196911, + "fos_yielding": 1.259620395913652, + "deflection": 8336358538817.975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2744": { + "node_id": "node_2744", + "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 212.97 kg\n Factor of Safety: 0.50\n Max Deflection: 4.00e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.9651787119385, + "fos_buckling": 0.5022201258080895, + "fos_yielding": 2.3402216890061305, + "deflection": 3997733408211.9277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.195)" + }, + "parent_node_id": "node_2743", + "improvement_over_parent": null + }, + "node_2745": { + "node_id": "node_2745", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 226.71 kg\n Factor of Safety: 0.05\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": 226.71464717812592, + "fos_buckling": 0.04905604616597742, + "fos_yielding": 0.6480616609044959, + "deflection": 0.017693057067623242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_2744", + "improvement_over_parent": null + }, + "node_2746": { + "node_id": "node_2746", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.97 kg\n Factor of Safety: 0.05\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": 247.96977326001806, + "fos_buckling": 0.04903957708865609, + "fos_yielding": 0.647844093888061, + "deflection": 0.016003123650172528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_2745", + "improvement_over_parent": null + }, + "node_2747": { + "node_id": "node_2747", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53291423923787, + "fos_buckling": 1.5408503741807256, + "fos_yielding": 2.6493538070786435, + "deflection": 0.0039599051758844005, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_2746", + "improvement_over_parent": null + }, + "node_2748": { + "node_id": "node_2748", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2747", + "improvement_over_parent": null + }, + "node_2749": { + "node_id": "node_2749", + "content": "INITIAL DESIGN (Trace 394)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 172.87 kg\n Factor of Safety: 0.97\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.86505298527806, + "fos_buckling": 0.9657577384918012, + "fos_yielding": 1.822518214150088, + "deflection": 0.0058305148829488965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2750": { + "node_id": "node_2750", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n\nPerformance:\n Mass: 177.44 kg\n Factor of Safety: 1.12\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.44272571344902, + "fos_buckling": 1.1248017344866121, + "fos_yielding": 1.832144320595627, + "deflection": 0.005720692571583587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001999)" + }, + "parent_node_id": "node_2749", + "improvement_over_parent": null + }, + "node_2751": { + "node_id": "node_2751", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n Mass: 211.23 kg\n Factor of Safety: 1.31\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.23101300265873, + "fos_buckling": 1.3072094763188744, + "fos_yielding": 2.1776489841798705, + "deflection": 0.0048150075121845826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_2750", + "improvement_over_parent": null + }, + "node_2752": { + "node_id": "node_2752", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.58887939103954, + "fos_buckling": 1.541104559215966, + "fos_yielding": 2.649951842805341, + "deflection": 0.003959023681222321, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_2751", + "improvement_over_parent": null + }, + "node_2753": { + "node_id": "node_2753", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2752", + "improvement_over_parent": null + }, + "node_2754": { + "node_id": "node_2754", + "content": "INITIAL DESIGN (Trace 395)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 186.57 kg\n Factor of Safety: 0.77\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.57362306933823, + "fos_buckling": 0.7722185448389827, + "fos_yielding": 1.8957660641122465, + "deflection": 0.006021437308322542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2755": { + "node_id": "node_2755", + "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 187.22 kg\n Factor of Safety: 0.77\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.21604803586916, + "fos_buckling": 0.7722106905443088, + "fos_yielding": 1.895746782128669, + "deflection": 0.0060041732247377265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.227)" + }, + "parent_node_id": "node_2754", + "improvement_over_parent": null + }, + "node_2756": { + "node_id": "node_2756", + "content": "MODIFICATION: Increase 13 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 191.63 kg\n Factor of Safety: 0.77\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.63452131088923, + "fos_buckling": 0.7720486652880169, + "fos_yielding": 1.8953490165162585, + "deflection": 0.006005234189115103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.453)" + }, + "parent_node_id": "node_2755", + "improvement_over_parent": null + }, + "node_2757": { + "node_id": "node_2757", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.06 kg\n Factor of Safety: 0.96\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.05530853760231, + "fos_buckling": 0.9632007501569212, + "fos_yielding": 2.4265867922746653, + "deflection": 0.004689174311618028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_2756", + "improvement_over_parent": null + }, + "node_2758": { + "node_id": "node_2758", + "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.47428053176102, + "fos_buckling": 1.1628419618584802, + "fos_yielding": 2.42584910615398, + "deflection": 0.004483019052663161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.276)" + }, + "parent_node_id": "node_2757", + "improvement_over_parent": null + }, + "node_2759": { + "node_id": "node_2759", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.47750714042735, + "fos_buckling": 1.540873280686622, + "fos_yielding": 2.64876773901905, + "deflection": 0.00396070038025095, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_2758", + "improvement_over_parent": null + }, + "node_2760": { + "node_id": "node_2760", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2759", + "improvement_over_parent": null + }, + "node_2761": { + "node_id": "node_2761", + "content": "INITIAL DESIGN (Trace 396)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 136.24 kg\n Factor of Safety: 0.48\n Max Deflection: 9.13e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.2434601737491, + "fos_buckling": 0.482922804977452, + "fos_yielding": 1.5121713393284237, + "deflection": 0.009133705943733637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2762": { + "node_id": "node_2762", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 150.53 kg\n Factor of Safety: 0.60\n Max Deflection: 7.98e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.53024188369608, + "fos_buckling": 0.5982394825291414, + "fos_yielding": 1.4671559365349705, + "deflection": 0.007981975581206065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003139)" + }, + "parent_node_id": "node_2761", + "improvement_over_parent": null + }, + "node_2763": { + "node_id": "node_2763", + "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 152.48 kg\n Factor of Safety: 0.50\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.48203333508752, + "fos_buckling": 0.5032372006944186, + "fos_yielding": 1.4531661986121045, + "deflection": 0.007796936140754076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.623)" + }, + "parent_node_id": "node_2762", + "improvement_over_parent": null + }, + "node_2764": { + "node_id": "node_2764", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n Mass: 165.31 kg\n Factor of Safety: 0.35\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.3140790270605, + "fos_buckling": 0.35073231909272967, + "fos_yielding": 1.4161115447013557, + "deflection": 0.006827059342966215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002975)" + }, + "parent_node_id": "node_2763", + "improvement_over_parent": null + }, + "node_2765": { + "node_id": "node_2765", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 201.43 kg\n Factor of Safety: 0.42\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.4250962631273, + "fos_buckling": 0.41705287967664184, + "fos_yielding": 1.7267022232075993, + "deflection": 0.005611329928526899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_2764", + "improvement_over_parent": null + }, + "node_2766": { + "node_id": "node_2766", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 246.21 kg\n Factor of Safety: 0.49\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.20555373015821, + "fos_buckling": 0.4941059618404307, + "fos_yielding": 2.112866774134938, + "deflection": 0.004598935039716602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_2765", + "improvement_over_parent": null + }, + "node_2767": { + "node_id": "node_2767", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 256.18 kg\n Factor of Safety: 1.54\n Max Deflection: 4.06e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.17730712885384, + "fos_buckling": 1.5384866137664035, + "fos_yielding": 2.25744018472521, + "deflection": 0.00405878576735821, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_2766", + "improvement_over_parent": null + }, + "node_2768": { + "node_id": "node_2768", + "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.77 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7705601432639, + "fos_buckling": 1.5420699824278783, + "fos_yielding": 2.651530430591992, + "deflection": 0.003956369995016823, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.200)" + }, + "parent_node_id": "node_2767", + "improvement_over_parent": null + }, + "node_2769": { + "node_id": "node_2769", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2768", + "improvement_over_parent": null + }, + "node_2770": { + "node_id": "node_2770", + "content": "INITIAL DESIGN (Trace 397)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 176.84 kg\n Factor of Safety: 1.12\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.83578656813978, + "fos_buckling": 1.122330088297317, + "fos_yielding": 1.4644050011303107, + "deflection": 0.0059095761985347665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2771": { + "node_id": "node_2771", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 178.35 kg\n Factor of Safety: 1.13\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.34884654723223, + "fos_buckling": 1.1298494057462396, + "fos_yielding": 1.8401098465119132, + "deflection": 0.005692366086881928, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.285)" + }, + "parent_node_id": "node_2770", + "improvement_over_parent": null + }, + "node_2772": { + "node_id": "node_2772", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 220.93 kg\n Factor of Safety: 1.36\n Max Deflection: 4.61e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.9261754430813, + "fos_buckling": 1.35771618544997, + "fos_yielding": 2.2749946246635075, + "deflection": 0.004606630451549807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2771", + "improvement_over_parent": null + }, + "node_2773": { + "node_id": "node_2773", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52988209183485, + "fos_buckling": 1.5408476450528863, + "fos_yielding": 2.6475250730682793, + "deflection": 0.003960212166737321, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2772", + "improvement_over_parent": null + }, + "node_2774": { + "node_id": "node_2774", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2773", + "improvement_over_parent": null + }, + "node_2775": { + "node_id": "node_2775", + "content": "INITIAL DESIGN (Trace 398)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0010)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 115.73 kg\n Factor of Safety: 0.13\n Max Deflection: 1.38e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.73114669093755, + "fos_buckling": 0.1314854898065228, + "fos_yielding": 0.41987346530455066, + "deflection": 13758731333292.252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2776": { + "node_id": "node_2776", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0010)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n\nPerformance:\n Mass: 126.27 kg\n Factor of Safety: 0.42\n Max Deflection: 9.16e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.27195221990254, + "fos_buckling": 0.42347034374314235, + "fos_yielding": 1.33560309186004, + "deflection": 0.009163561523755222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002494)" + }, + "parent_node_id": "node_2775", + "improvement_over_parent": null + }, + "node_2777": { + "node_id": "node_2777", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0010)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n\nPerformance:\n Mass: 138.51 kg\n Factor of Safety: 0.59\n Max Deflection: 7.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.51135234819904, + "fos_buckling": 0.5866734277157891, + "fos_yielding": 1.537889397508498, + "deflection": 0.007983181062619629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002687)" + }, + "parent_node_id": "node_2776", + "improvement_over_parent": null + }, + "node_2778": { + "node_id": "node_2778", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n\nPerformance:\n Mass: 159.03 kg\n Factor of Safety: 0.66\n Max Deflection: 6.96e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.03039449681484, + "fos_buckling": 0.6627139692661159, + "fos_yielding": 1.7639408796212876, + "deflection": 0.006960853653258213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_2777", + "improvement_over_parent": null + }, + "node_2779": { + "node_id": "node_2779", + "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n\nPerformance:\n Mass: 160.65 kg\n Factor of Safety: 0.66\n Max Deflection: 6.79e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.6546438618852, + "fos_buckling": 0.6625292143465866, + "fos_yielding": 1.7709930990616432, + "deflection": 0.006792598512794157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.608)" + }, + "parent_node_id": "node_2778", + "improvement_over_parent": null + }, + "node_2780": { + "node_id": "node_2780", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 172.73 kg\n Factor of Safety: 1.10\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.72842364124367, + "fos_buckling": 1.098518895957497, + "fos_yielding": 1.7837937715435275, + "deflection": 0.005875324369484356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002883)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 219.12 kg\n Factor of Safety: 1.35\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.1189236076492, + "fos_buckling": 1.3483075119686243, + "fos_yielding": 2.258080462835529, + "deflection": 0.00464386474705653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_2780", + "improvement_over_parent": null + }, + "node_2782": { + "node_id": "node_2782", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.42 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.42221487593525, + "fos_buckling": 1.5402601296026515, + "fos_yielding": 2.6481729229932784, + "deflection": 0.003961612376946866, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 399)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 144.37 kg\n Factor of Safety: 0.38\n Max Deflection: 5.10e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.37149250352377, + "fos_buckling": 0.381585024745142, + "fos_yielding": 1.6794938612182022, + "deflection": 5103424324068.307, + "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: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 152.97 kg\n Factor of Safety: 0.03\n Max Deflection: 2.57e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.96645052614195, + "fos_buckling": 0.0328540474504572, + "fos_yielding": 0.40653275865464517, + "deflection": 0.025733276328212658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002338)" + }, + "parent_node_id": "node_2784", + "improvement_over_parent": null + }, + "node_2786": { + "node_id": "node_2786", + "content": "MODIFICATION: Increase 11 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 153.99 kg\n Factor of Safety: 0.03\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": 153.99059966040465, + "fos_buckling": 0.0328540474504572, + "fos_yielding": 0.40653275865464517, + "deflection": 0.025718376789374553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.189)" + }, + "parent_node_id": "node_2785", + "improvement_over_parent": null + }, + "node_2787": { + "node_id": "node_2787", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 154.98 kg\n Factor of Safety: 0.03\n Max Deflection: 2.55e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.98444474390396, + "fos_buckling": 0.03285249413749353, + "fos_yielding": 0.4065135381124845, + "deflection": 0.025476276928478654, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.238)" + }, + "parent_node_id": "node_2786", + "improvement_over_parent": null + }, + "node_2788": { + "node_id": "node_2788", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n\nPerformance:\n Mass: 160.96 kg\n Factor of Safety: 1.03\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.96156972916322, + "fos_buckling": 1.0321576055008501, + "fos_yielding": 1.6631917462267878, + "deflection": 0.0063002577290045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002553)" + }, + "parent_node_id": "node_2787", + "improvement_over_parent": null + }, + "node_2789": { + "node_id": "node_2789", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n Mass: 199.87 kg\n Factor of Safety: 1.25\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.8723467094296, + "fos_buckling": 1.247008511104863, + "fos_yielding": 2.0615763999654235, + "deflection": 0.005085166459729755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2788", + "improvement_over_parent": null + }, + "node_2790": { + "node_id": "node_2790", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.42 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.41579848764235, + "fos_buckling": 1.540260236845758, + "fos_yielding": 2.6481386156136217, + "deflection": 0.003961540311958628, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_2789", + "improvement_over_parent": null + }, + "node_2791": { + "node_id": "node_2791", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2790", + "improvement_over_parent": null + }, + "node_2792": { + "node_id": "node_2792", + "content": "INITIAL DESIGN (Trace 400)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 240.16 kg\n Factor of Safety: 0.45\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.16355464618422, + "fos_buckling": 0.45331477309346635, + "fos_yielding": 1.424828458565088, + "deflection": 0.011537745739796157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2793": { + "node_id": "node_2793", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 248.80 kg\n Factor of Safety: 1.29\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.80041817383778, + "fos_buckling": 1.2874366713037992, + "fos_yielding": 2.6638337274162955, + "deflection": 0.004017355282796669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_2792", + "improvement_over_parent": null + }, + "node_2794": { + "node_id": "node_2794", + "content": "MODIFICATION: Increase 17 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 254.54 kg\n Factor of Safety: 1.27\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.5405341352046, + "fos_buckling": 1.2652762102438984, + "fos_yielding": 2.666699323542372, + "deflection": 0.003958685826743658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.311)" + }, + "parent_node_id": "node_2793", + "improvement_over_parent": null + }, + "node_2795": { + "node_id": "node_2795", + "content": "MODIFICATION: Increase 16 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0048)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 260.01 kg\n Factor of Safety: 1.29\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.01242293236186, + "fos_buckling": 1.292360012966877, + "fos_yielding": 2.6604797226696535, + "deflection": 0.003923717511324721, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.431)" + }, + "parent_node_id": "node_2794", + "improvement_over_parent": null + }, + "node_2796": { + "node_id": "node_2796", + "content": "MODIFICATION: Increase 12 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0083)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0048)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 271.25 kg\n Factor of Safety: 1.29\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.24568933259894, + "fos_buckling": 1.2906844466086926, + "fos_yielding": 2.6696944470413735, + "deflection": 0.0038245589190705792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.403)" + }, + "parent_node_id": "node_2795", + "improvement_over_parent": null + }, + "node_2797": { + "node_id": "node_2797", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2796", + "improvement_over_parent": null + }, + "node_2798": { + "node_id": "node_2798", + "content": "INITIAL DESIGN (Trace 401)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 241.79 kg\n Factor of Safety: 1.22\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.78604026255644, + "fos_buckling": 1.2241724733772494, + "fos_yielding": 2.71968861992944, + "deflection": 0.004017422446975173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2799": { + "node_id": "node_2799", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 244.17 kg\n Factor of Safety: 1.22\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.17168431672295, + "fos_buckling": 1.224172473377249, + "fos_yielding": 2.7196886199294408, + "deflection": 0.00398906609983571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.289)" + }, + "parent_node_id": "node_2798", + "improvement_over_parent": null + }, + "node_2800": { + "node_id": "node_2800", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 250.73 kg\n Factor of Safety: 1.25\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.73047250487255, + "fos_buckling": 1.2482924735616223, + "fos_yielding": 2.641342051889165, + "deflection": 0.004068979799060635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_2799", + "improvement_over_parent": null + }, + "node_2801": { + "node_id": "node_2801", + "content": "MODIFICATION: Increase 18 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0068)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 258.90 kg\n Factor of Safety: 1.23\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.8953868253948, + "fos_buckling": 1.2295336169654036, + "fos_yielding": 2.642215167687022, + "deflection": 0.004024475107534714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.527)" + }, + "parent_node_id": "node_2800", + "improvement_over_parent": null + }, + "node_2802": { + "node_id": "node_2802", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2801", + "improvement_over_parent": null + }, + "node_2803": { + "node_id": "node_2803", + "content": "INITIAL DESIGN (Trace 402)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0027)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 132.03 kg\n Factor of Safety: 0.04\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": 132.0270484054909, + "fos_buckling": 0.042030574811894796, + "fos_yielding": 0.5029358554126296, + "deflection": 0.01829908464754805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2804": { + "node_id": "node_2804", + "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 136.08 kg\n Factor of Safety: 0.04\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.0808025543145, + "fos_buckling": 0.042025638367207116, + "fos_yielding": 0.5028767861507218, + "deflection": 0.018242702368250832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.279)" + }, + "parent_node_id": "node_2803", + "improvement_over_parent": null + }, + "node_2805": { + "node_id": "node_2805", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n\nPerformance:\n Mass: 148.77 kg\n Factor of Safety: 0.25\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.77407740123533, + "fos_buckling": 0.2488051205518208, + "fos_yielding": 1.5277799466614603, + "deflection": 0.0073428642076176324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002792)" + }, + "parent_node_id": "node_2804", + "improvement_over_parent": null + }, + "node_2806": { + "node_id": "node_2806", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 168.12 kg\n Factor of Safety: 0.28\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.1174993268289, + "fos_buckling": 0.2791923769435497, + "fos_yielding": 1.7247974406069642, + "deflection": 0.006504696899347009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2805", + "improvement_over_parent": null + }, + "node_2807": { + "node_id": "node_2807", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 215.50 kg\n Factor of Safety: 0.35\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.49597371237397, + "fos_buckling": 0.3516449659406718, + "fos_yielding": 2.2057671485612484, + "deflection": 0.005087417445705146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2806", + "improvement_over_parent": null + }, + "node_2808": { + "node_id": "node_2808", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n Mass: 224.25 kg\n Factor of Safety: 1.37\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.2457896379449, + "fos_buckling": 1.372632479867756, + "fos_yielding": 2.3377074628686922, + "deflection": 0.004491453546525909, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003174)" + }, + "parent_node_id": "node_2807", + "improvement_over_parent": null + }, + "node_2809": { + "node_id": "node_2809", + "content": "MODIFICATION: Increase 16 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0056)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n Mass: 230.61 kg\n Factor of Safety: 1.27\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.6050499062, + "fos_buckling": 1.2712241645736995, + "fos_yielding": 2.332563702679886, + "deflection": 0.0044509607188691, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.453)" + }, + "parent_node_id": "node_2808", + "improvement_over_parent": null + }, + "node_2810": { + "node_id": "node_2810", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0064)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 262.58 kg\n Factor of Safety: 1.44\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.5840983615178, + "fos_buckling": 1.441002285494807, + "fos_yielding": 2.6533636321993215, + "deflection": 0.003915027447241425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_2809", + "improvement_over_parent": null + }, + "node_2811": { + "node_id": "node_2811", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2810", + "improvement_over_parent": null + }, + "node_2812": { + "node_id": "node_2812", + "content": "INITIAL DESIGN (Trace 403)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 162.12 kg\n Factor of Safety: 0.68\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.11763972208985, + "fos_buckling": 0.675809542645154, + "fos_yielding": 1.5298306369722385, + "deflection": 0.006801810230065759, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2813": { + "node_id": "node_2813", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n Mass: 174.46 kg\n Factor of Safety: 0.87\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.45949314244368, + "fos_buckling": 0.8684863163900364, + "fos_yielding": 1.5403341470167973, + "deflection": 0.005946150272492962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002951)" + }, + "parent_node_id": "node_2812", + "improvement_over_parent": null + }, + "node_2814": { + "node_id": "node_2814", + "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n Mass: 175.52 kg\n Factor of Safety: 1.12\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.51875454673552, + "fos_buckling": 1.1176956063972168, + "fos_yielding": 1.5408584001249477, + "deflection": 0.005902768264164584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.517)" + }, + "parent_node_id": "node_2813", + "improvement_over_parent": null + }, + "node_2815": { + "node_id": "node_2815", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 212.19 kg\n Factor of Safety: 1.32\n Max Deflection: 4.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.18599527074787, + "fos_buckling": 1.3161650408432608, + "fos_yielding": 1.8637300960094436, + "deflection": 0.004891483934352669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2814", + "improvement_over_parent": null + }, + "node_2816": { + "node_id": "node_2816", + "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 213.54 kg\n Factor of Safety: 1.32\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.5439328615756, + "fos_buckling": 1.3193604111974577, + "fos_yielding": 2.200336027275896, + "deflection": 0.004763708248904314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.203)" + }, + "parent_node_id": "node_2815", + "improvement_over_parent": null + }, + "node_2817": { + "node_id": "node_2817", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.30 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.2996614213294, + "fos_buckling": 1.5397397566939297, + "fos_yielding": 2.645920698377955, + "deflection": 0.003963584574359783, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2816", + "improvement_over_parent": null + }, + "node_2818": { + "node_id": "node_2818", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2817", + "improvement_over_parent": null + }, + "node_2819": { + "node_id": "node_2819", + "content": "INITIAL DESIGN (Trace 404)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 206.02 kg\n Factor of Safety: 0.35\n Max Deflection: 7.44e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.0163608874308, + "fos_buckling": 0.34594400658944563, + "fos_yielding": 1.2596203959136516, + "deflection": 7438940688483.715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2820": { + "node_id": "node_2820", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 215.99 kg\n Factor of Safety: 0.45\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": 215.98811428612646, + "fos_buckling": 0.4538721507949279, + "fos_yielding": 1.4775924979735022, + "deflection": 0.012069923897151787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_2819", + "improvement_over_parent": null + }, + "node_2821": { + "node_id": "node_2821", + "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 222.72 kg\n Factor of Safety: 0.45\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": 222.7154637904195, + "fos_buckling": 0.45378468518578086, + "fos_yielding": 1.4773086922658858, + "deflection": 0.01207229706584568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.404)" + }, + "parent_node_id": "node_2820", + "improvement_over_parent": null + }, + "node_2822": { + "node_id": "node_2822", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 236.46 kg\n Factor of Safety: 0.45\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": 236.46493225660691, + "fos_buckling": 0.45324913035390907, + "fos_yielding": 1.4755709326022457, + "deflection": 0.01209846793183236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_2821", + "improvement_over_parent": null + }, + "node_2823": { + "node_id": "node_2823", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 245.10 kg\n Factor of Safety: 0.70\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.10179578426047, + "fos_buckling": 0.6996853857555488, + "fos_yielding": 1.7574209142293786, + "deflection": 0.005136327688184901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_2822", + "improvement_over_parent": null + }, + "node_2824": { + "node_id": "node_2824", + "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 247.02 kg\n Factor of Safety: 0.70\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.01588804859804, + "fos_buckling": 0.6995796526867305, + "fos_yielding": 1.7571553412872394, + "deflection": 0.005132617235107621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.332)" + }, + "parent_node_id": "node_2823", + "improvement_over_parent": null + }, + "node_2825": { + "node_id": "node_2825", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 252.02 kg\n Factor of Safety: 1.04\n Max Deflection: 4.18e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.01911465726437, + "fos_buckling": 1.0381206740742863, + "fos_yielding": 2.5992332314965716, + "deflection": 0.004181813346981555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_2824", + "improvement_over_parent": null + }, + "node_2826": { + "node_id": "node_2826", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2825", + "improvement_over_parent": null + }, + "node_2827": { + "node_id": "node_2827", + "content": "INITIAL DESIGN (Trace 405)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 238.87 kg\n Factor of Safety: 0.95\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.86748616159028, + "fos_buckling": 0.9511644439418987, + "fos_yielding": 1.9197424776444183, + "deflection": 0.005010352892920107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2828": { + "node_id": "node_2828", + "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 241.52 kg\n Factor of Safety: 0.95\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.51769262366022, + "fos_buckling": 0.9511644439418987, + "fos_yielding": 1.9197424776444183, + "deflection": 0.004973588632721482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.357)" + }, + "parent_node_id": "node_2827", + "improvement_over_parent": null + }, + "node_2829": { + "node_id": "node_2829", + "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.79 kg\n Factor of Safety: 0.95\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.79043533912412, + "fos_buckling": 0.9509915860545891, + "fos_yielding": 2.517451397065297, + "deflection": 0.004756083203124353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.342)" + }, + "parent_node_id": "node_2828", + "improvement_over_parent": null + }, + "node_2830": { + "node_id": "node_2830", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5399038053115, + "fos_buckling": 1.5408214857723506, + "fos_yielding": 2.6493886751147975, + "deflection": 0.003959729419114514, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_2829", + "improvement_over_parent": null + }, + "node_2831": { + "node_id": "node_2831", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2830", + "improvement_over_parent": null + }, + "node_2832": { + "node_id": "node_2832", + "content": "INITIAL DESIGN (Trace 406)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n Mass: 127.70 kg\n Factor of Safety: 0.57\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.70127488979296, + "fos_buckling": 0.5678147841601017, + "fos_yielding": 1.0935861793864303, + "deflection": 0.00966612472575351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2833": { + "node_id": "node_2833", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0013)]\n\nPerformance:\n Mass: 132.45 kg\n Factor of Safety: 0.69\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.45002231306785, + "fos_buckling": 0.685583105605099, + "fos_yielding": 1.113898005402701, + "deflection": 0.008765688059588876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.001261)" + }, + "parent_node_id": "node_2832", + "improvement_over_parent": null + }, + "node_2834": { + "node_id": "node_2834", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n\nPerformance:\n Mass: 169.78 kg\n Factor of Safety: 0.85\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.77932883072228, + "fos_buckling": 0.8548463178185867, + "fos_yielding": 1.4307569940838225, + "deflection": 0.006849101068539311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2833", + "improvement_over_parent": null + }, + "node_2835": { + "node_id": "node_2835", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n\nPerformance:\n Mass: 173.25 kg\n Factor of Safety: 0.88\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.25283301643003, + "fos_buckling": 0.8783540147074207, + "fos_yielding": 1.4420515788585888, + "deflection": 0.006141858261465767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002064)" + }, + "parent_node_id": "node_2834", + "improvement_over_parent": null + }, + "node_2836": { + "node_id": "node_2836", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 204.69 kg\n Factor of Safety: 1.02\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.68757496137056, + "fos_buckling": 1.0249664503543237, + "fos_yielding": 1.7068592551873754, + "deflection": 0.005204501038047936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2835", + "improvement_over_parent": null + }, + "node_2837": { + "node_id": "node_2837", + "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 207.14 kg\n Factor of Safety: 1.05\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.14102687140328, + "fos_buckling": 1.0495068966011063, + "fos_yielding": 2.2059528312543204, + "deflection": 0.004922134765009406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.529)" + }, + "parent_node_id": "node_2836", + "improvement_over_parent": null + }, + "node_2838": { + "node_id": "node_2838", + "content": "MODIFICATION: Increase 15 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0057)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 214.93 kg\n Factor of Safety: 1.03\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.93220229505246, + "fos_buckling": 1.0254589792624031, + "fos_yielding": 2.199789533197833, + "deflection": 0.004873537921745262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.595)" + }, + "parent_node_id": "node_2837", + "improvement_over_parent": null + }, + "node_2839": { + "node_id": "node_2839", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0071)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 261.84 kg\n Factor of Safety: 1.23\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.8411408849131, + "fos_buckling": 1.22836748606935, + "fos_yielding": 2.676423886187747, + "deflection": 0.004006835433589503, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_2838", + "improvement_over_parent": null + }, + "node_2840": { + "node_id": "node_2840", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2839", + "improvement_over_parent": null + }, + "node_2841": { + "node_id": "node_2841", + "content": "INITIAL DESIGN (Trace 407)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 205.86 kg\n Factor of Safety: 1.27\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.8556076437715, + "fos_buckling": 1.270100488582904, + "fos_yielding": 2.278596929971241, + "deflection": 0.004842344154072165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2842": { + "node_id": "node_2842", + "content": "MODIFICATION: Increase 19 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 211.66 kg\n Factor of Safety: 1.27\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.66161588571896, + "fos_buckling": 1.2696487946074346, + "fos_yielding": 2.280435918722998, + "deflection": 0.004752174391133537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.656)" + }, + "parent_node_id": "node_2841", + "improvement_over_parent": null + }, + "node_2843": { + "node_id": "node_2843", + "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 214.78 kg\n Factor of Safety: 1.31\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.77806964569737, + "fos_buckling": 1.3092839859673198, + "fos_yielding": 2.2721525239257847, + "deflection": 0.004691862387753969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.397)" + }, + "parent_node_id": "node_2842", + "improvement_over_parent": null + }, + "node_2844": { + "node_id": "node_2844", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 251.80 kg\n Factor of Safety: 1.49\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.79842402963956, + "fos_buckling": 1.493434754190754, + "fos_yielding": 2.6584468784539546, + "deflection": 0.004010926665194299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2843", + "improvement_over_parent": null + }, + "node_2845": { + "node_id": "node_2845", + "content": "MODIFICATION: Increase 14 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.49 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4897685700573, + "fos_buckling": 1.5405830603306458, + "fos_yielding": 2.6487959540065473, + "deflection": 0.0039606274755774025, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.466)" + }, + "parent_node_id": "node_2844", + "improvement_over_parent": null + }, + "node_2846": { + "node_id": "node_2846", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2845", + "improvement_over_parent": null + }, + "node_2847": { + "node_id": "node_2847", + "content": "INITIAL DESIGN (Trace 408)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 133.89 kg\n Factor of Safety: 0.28\n Max Deflection: 8.22e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.89144103931247, + "fos_buckling": 0.27504091328540553, + "fos_yielding": 1.3839470544335775, + "deflection": 0.00821557999421059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2848": { + "node_id": "node_2848", + "content": "MODIFICATION: Increase 18 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 135.61 kg\n Factor of Safety: 0.28\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.60595926118032, + "fos_buckling": 0.27919516249582976, + "fos_yielding": 1.3857151112379988, + "deflection": 0.008138616222577708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.217)" + }, + "parent_node_id": "node_2847", + "improvement_over_parent": null + }, + "node_2849": { + "node_id": "node_2849", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 136.47 kg\n Factor of Safety: 0.28\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.4655759698259, + "fos_buckling": 0.2759471642881457, + "fos_yielding": 1.3842571906873806, + "deflection": 0.008089592231528534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.404)" + }, + "parent_node_id": "node_2848", + "improvement_over_parent": null + }, + "node_2850": { + "node_id": "node_2850", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 166.32 kg\n Factor of Safety: 0.33\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.3249451856575, + "fos_buckling": 0.329991983266091, + "fos_yielding": 1.6849375804728226, + "deflection": 0.006647086271445315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2849", + "improvement_over_parent": null + }, + "node_2851": { + "node_id": "node_2851", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n\nPerformance:\n Mass: 173.07 kg\n Factor of Safety: 1.13\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.06934458473265, + "fos_buckling": 1.1277645480821443, + "fos_yielding": 1.745279843724978, + "deflection": 0.0058890381853432755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002401)" + }, + "parent_node_id": "node_2850", + "improvement_over_parent": null + }, + "node_2852": { + "node_id": "node_2852", + "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n\nPerformance:\n Mass: 174.28 kg\n Factor of Safety: 1.11\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.28298792492072, + "fos_buckling": 1.1072957607693916, + "fos_yielding": 1.7997867311172715, + "deflection": 0.005823508255443351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.290)" + }, + "parent_node_id": "node_2851", + "improvement_over_parent": null + }, + "node_2853": { + "node_id": "node_2853", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n Mass: 215.98 kg\n Factor of Safety: 1.33\n Max Deflection: 4.71e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.9756368431073, + "fos_buckling": 1.3320965644198242, + "fos_yielding": 2.2260890787152223, + "deflection": 0.0047106496347178286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2852", + "improvement_over_parent": null + }, + "node_2854": { + "node_id": "node_2854", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.66268996792735, + "fos_buckling": 1.5415517959007243, + "fos_yielding": 2.6507131090099025, + "deflection": 0.003958013195822655, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_2853", + "improvement_over_parent": null + }, + "node_2855": { + "node_id": "node_2855", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2854", + "improvement_over_parent": null + }, + "node_2856": { + "node_id": "node_2856", + "content": "INITIAL DESIGN (Trace 409)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 187.53 kg\n Factor of Safety: 0.89\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.52931619162584, + "fos_buckling": 0.892173147315976, + "fos_yielding": 1.5111128189475505, + "deflection": 0.005839112595302865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2857": { + "node_id": "node_2857", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 240.26 kg\n Factor of Safety: 1.12\n Max Deflection: 4.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.2583967745617, + "fos_buckling": 1.1195337452379037, + "fos_yielding": 1.9413196453461232, + "deflection": 0.004562870433775513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2856", + "improvement_over_parent": null + }, + "node_2858": { + "node_id": "node_2858", + "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 241.55 kg\n Factor of Safety: 1.12\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.5453002142554, + "fos_buckling": 1.1230614389117073, + "fos_yielding": 1.941809471918304, + "deflection": 0.0045382685445610905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.412)" + }, + "parent_node_id": "node_2857", + "improvement_over_parent": null + }, + "node_2859": { + "node_id": "node_2859", + "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 251.38 kg\n Factor of Safety: 1.12\n Max Deflection: 4.38e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.37828575505705, + "fos_buckling": 1.1249274533288864, + "fos_yielding": 1.954715774575989, + "deflection": 0.0043798050059339665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.488)" + }, + "parent_node_id": "node_2858", + "improvement_over_parent": null + }, + "node_2860": { + "node_id": "node_2860", + "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.21 kg\n Factor of Safety: 1.12\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.20878781084016, + "fos_buckling": 1.1205425797689073, + "fos_yielding": 2.0904237126781484, + "deflection": 0.0041701046680341, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.414)" + }, + "parent_node_id": "node_2859", + "improvement_over_parent": null + }, + "node_2861": { + "node_id": "node_2861", + "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.36 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.35999051226247, + "fos_buckling": 1.540141855994884, + "fos_yielding": 2.6483817988720566, + "deflection": 0.003962541566505051, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.631)" + }, + "parent_node_id": "node_2860", + "improvement_over_parent": null + }, + "node_2862": { + "node_id": "node_2862", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2861", + "improvement_over_parent": null + }, + "node_2863": { + "node_id": "node_2863", + "content": "INITIAL DESIGN (Trace 410)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 142.70 kg\n Factor of Safety: 0.45\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.69738021057057, + "fos_buckling": 0.45238949173887355, + "fos_yielding": 1.5525489779207253, + "deflection": 0.007867861155580618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2864": { + "node_id": "node_2864", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n\nPerformance:\n Mass: 168.90 kg\n Factor of Safety: 0.52\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.89654510302816, + "fos_buckling": 0.5237593129417306, + "fos_yielding": 1.8337820729453822, + "deflection": 0.006659603192522847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_2863", + "improvement_over_parent": null + }, + "node_2865": { + "node_id": "node_2865", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n\nPerformance:\n Mass: 174.70 kg\n Factor of Safety: 0.52\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.69542933309427, + "fos_buckling": 0.5235862227140523, + "fos_yielding": 1.8331743351516456, + "deflection": 0.006860988391954949, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002342)" + }, + "parent_node_id": "node_2864", + "improvement_over_parent": null + }, + "node_2866": { + "node_id": "node_2866", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n\nPerformance:\n Mass: 202.97 kg\n Factor of Safety: 0.59\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.97057435778757, + "fos_buckling": 0.5942066425151415, + "fos_yielding": 2.1251664128831838, + "deflection": 0.005916143566569644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_2865", + "improvement_over_parent": null + }, + "node_2867": { + "node_id": "node_2867", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 236.05 kg\n Factor of Safety: 0.67\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.04811252873688, + "fos_buckling": 0.6719377703889277, + "fos_yielding": 2.4651155768672885, + "deflection": 0.005098112322049159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_2866", + "improvement_over_parent": null + }, + "node_2868": { + "node_id": "node_2868", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.30 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.303238610629, + "fos_buckling": 1.5396295771480168, + "fos_yielding": 2.646802212900739, + "deflection": 0.003963541782327105, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 411)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 151.86 kg\n Factor of Safety: 0.76\n Max Deflection: 7.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.85822129571685, + "fos_buckling": 0.7581302221060946, + "fos_yielding": 1.1272532505740933, + "deflection": 0.007537789784506895, + "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 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 153.05 kg\n Factor of Safety: 0.76\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.05462349669452, + "fos_buckling": 0.7580870779107782, + "fos_yielding": 1.4761010479657317, + "deflection": 0.007353025205595108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.326)" + }, + "parent_node_id": "node_2870", + "improvement_over_parent": null + }, + "node_2872": { + "node_id": "node_2872", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 184.20 kg\n Factor of Safety: 0.89\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.1997106154627, + "fos_buckling": 0.8921844735793206, + "fos_yielding": 1.7740619292724975, + "deflection": 0.006120828028277027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_2871", + "improvement_over_parent": null + }, + "node_2873": { + "node_id": "node_2873", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 0.97\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.89569784070085, + "fos_buckling": 0.973498505337258, + "fos_yielding": 1.962074125268086, + "deflection": 0.005535894053182192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_2872", + "improvement_over_parent": null + }, + "node_2874": { + "node_id": "node_2874", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.73 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.73130751506378, + "fos_buckling": 1.1635058512567324, + "fos_yielding": 2.426858958109967, + "deflection": 0.004478843695422936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_2873", + "improvement_over_parent": null + }, + "node_2875": { + "node_id": "node_2875", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.73 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7345341237301, + "fos_buckling": 1.5418792462382873, + "fos_yielding": 2.6515431602555974, + "deflection": 0.003956815771599377, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_2874", + "improvement_over_parent": null + }, + "node_2876": { + "node_id": "node_2876", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2875", + "improvement_over_parent": null + }, + "node_2877": { + "node_id": "node_2877", + "content": "INITIAL DESIGN (Trace 412)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 197.50 kg\n Factor of Safety: 0.04\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": 197.5031084529584, + "fos_buckling": 0.04125156551418911, + "fos_yielding": 0.5270846196264009, + "deflection": 0.020027131029823494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2878": { + "node_id": "node_2878", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n\nPerformance:\n Mass: 205.27 kg\n Factor of Safety: 0.78\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.2679198825438, + "fos_buckling": 0.7799811749125618, + "fos_yielding": 2.1399600266619703, + "deflection": 0.005625503493048629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003374)" + }, + "parent_node_id": "node_2877", + "improvement_over_parent": null + }, + "node_2879": { + "node_id": "node_2879", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n Mass: 209.10 kg\n Factor of Safety: 1.30\n Max Deflection: 4.86e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.09856411482986, + "fos_buckling": 1.2960030735666574, + "fos_yielding": 2.1558807226610126, + "deflection": 0.004863524795561319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002370)" + }, + "parent_node_id": "node_2878", + "improvement_over_parent": null + }, + "node_2880": { + "node_id": "node_2880", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6565742103889, + "fos_buckling": 1.5414410327285473, + "fos_yielding": 2.650646981426969, + "deflection": 0.003958007834708247, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_2879", + "improvement_over_parent": null + }, + "node_2881": { + "node_id": "node_2881", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2880", + "improvement_over_parent": null + }, + "node_2882": { + "node_id": "node_2882", + "content": "INITIAL DESIGN (Trace 413)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0017)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 121.38 kg\n Factor of Safety: 0.53\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.37613243527176, + "fos_buckling": 0.5346219902968894, + "fos_yielding": 1.145112475158368, + "deflection": 0.010033968280118613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2883": { + "node_id": "node_2883", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 122.39 kg\n Factor of Safety: 0.53\n Max Deflection: 9.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.39189967076624, + "fos_buckling": 0.5345752707709299, + "fos_yielding": 1.1450124061133582, + "deflection": 0.009832957960195654, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.264)" + }, + "parent_node_id": "node_2882", + "improvement_over_parent": null + }, + "node_2884": { + "node_id": "node_2884", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n\nPerformance:\n Mass: 132.45 kg\n Factor of Safety: 0.53\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.4500699520628, + "fos_buckling": 0.5344211224661632, + "fos_yielding": 1.144682234234879, + "deflection": 0.008831522747696894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002302)" + }, + "parent_node_id": "node_2883", + "improvement_over_parent": null + }, + "node_2885": { + "node_id": "node_2885", + "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n\nPerformance:\n Mass: 133.21 kg\n Factor of Safety: 0.53\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.21427872586753, + "fos_buckling": 0.5343859988478, + "fos_yielding": 1.3934330015173975, + "deflection": 0.008631034500007033, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.368)" + }, + "parent_node_id": "node_2884", + "improvement_over_parent": null + }, + "node_2886": { + "node_id": "node_2886", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n\nPerformance:\n Mass: 165.07 kg\n Factor of Safety: 0.65\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.06529138894834, + "fos_buckling": 0.6466633450235239, + "fos_yielding": 1.724044539607388, + "deflection": 0.006978866191856447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_2885", + "improvement_over_parent": null + }, + "node_2887": { + "node_id": "node_2887", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n\nPerformance:\n Mass: 203.01 kg\n Factor of Safety: 0.77\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.0110062516218, + "fos_buckling": 0.7727454945069918, + "fos_yielding": 2.1166448055274527, + "deflection": 0.005687275286996523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_2886", + "improvement_over_parent": null + }, + "node_2888": { + "node_id": "node_2888", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 253.11 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.11376970460356, + "fos_buckling": 0.926550737840487, + "fos_yielding": 2.632916227450144, + "deflection": 0.004575123880553236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2887", + "improvement_over_parent": null + }, + "node_2889": { + "node_id": "node_2889", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.83 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.8305889539651, + "fos_buckling": 1.5423239266716156, + "fos_yielding": 2.6524712344733095, + "deflection": 0.003955411947808032, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_2888", + "improvement_over_parent": null + }, + "node_2890": { + "node_id": "node_2890", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2889", + "improvement_over_parent": null + }, + "node_2891": { + "node_id": "node_2891", + "content": "INITIAL DESIGN (Trace 414)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 212.52 kg\n Factor of Safety: 0.67\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.52073090807295, + "fos_buckling": 0.6730498369153847, + "fos_yielding": 1.7204368008042548, + "deflection": 0.005792667511144697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2892": { + "node_id": "node_2892", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 233.78 kg\n Factor of Safety: 1.16\n Max Deflection: 4.71e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.7758569899651, + "fos_buckling": 1.1637195942036977, + "fos_yielding": 1.7198590210347202, + "deflection": 0.004708949639355251, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_2891", + "improvement_over_parent": null + }, + "node_2893": { + "node_id": "node_2893", + "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 234.79 kg\n Factor of Safety: 1.16\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.79113442721265, + "fos_buckling": 1.1637009267089766, + "fos_yielding": 1.7198314323790347, + "deflection": 0.0046876969293329135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.245)" + }, + "parent_node_id": "node_2892", + "improvement_over_parent": null + }, + "node_2894": { + "node_id": "node_2894", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 236.00 kg\n Factor of Safety: 1.16\n Max Deflection: 4.63e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.0013112896859, + "fos_buckling": 1.1636341785142144, + "fos_yielding": 1.7197327853463038, + "deflection": 0.004628896166509083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.179)" + }, + "parent_node_id": "node_2893", + "improvement_over_parent": null + }, + "node_2895": { + "node_id": "node_2895", + "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 238.43 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.4345267232337, + "fos_buckling": 1.163499995900382, + "fos_yielding": 2.4265306392655037, + "deflection": 0.004479761457832754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.451)" + }, + "parent_node_id": "node_2894", + "improvement_over_parent": null + }, + "node_2896": { + "node_id": "node_2896", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5242704980412, + "fos_buckling": 1.5409016050203128, + "fos_yielding": 2.6493544807976277, + "deflection": 0.003960036405713921, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_2895", + "improvement_over_parent": null + }, + "node_2897": { + "node_id": "node_2897", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2896", + "improvement_over_parent": null + }, + "node_2898": { + "node_id": "node_2898", + "content": "INITIAL DESIGN (Trace 415)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 161.09 kg\n Factor of Safety: 0.83\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.09316574241544, + "fos_buckling": 0.8348614130071901, + "fos_yielding": 1.6459393171852916, + "deflection": 0.006600200506447691, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2899": { + "node_id": "node_2899", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 188.56 kg\n Factor of Safety: 0.96\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.55950980158985, + "fos_buckling": 0.9568807164522164, + "fos_yielding": 1.9242639118412288, + "deflection": 0.005647925939343928, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2898", + "improvement_over_parent": null + }, + "node_2900": { + "node_id": "node_2900", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n\nPerformance:\n Mass: 203.67 kg\n Factor of Safety: 1.27\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.66603439422414, + "fos_buckling": 1.2672692793192821, + "fos_yielding": 2.1002604507575517, + "deflection": 0.0049918139185572905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003541)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n\nPerformance:\n Mass: 232.35 kg\n Factor of Safety: 1.42\n Max Deflection: 4.38e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.34638532502035, + "fos_buckling": 1.416116639790819, + "fos_yielding": 2.3928838028131083, + "deflection": 0.004382880177474974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_2900", + "improvement_over_parent": null + }, + "node_2902": { + "node_id": "node_2902", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.09 kg\n Factor of Safety: 1.54\n Max Deflection: 3.97e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.0879020687465, + "fos_buckling": 1.5387094211012151, + "fos_yielding": 2.6447048242075253, + "deflection": 0.003966731112230878, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2901", + "improvement_over_parent": null + }, + "node_2903": { + "node_id": "node_2903", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2902", + "improvement_over_parent": null + }, + "node_2904": { + "node_id": "node_2904", + "content": "INITIAL DESIGN (Trace 416)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 160.78 kg\n Factor of Safety: 0.31\n Max Deflection: 1.14e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.7775155710626, + "fos_buckling": 0.3127991370630543, + "fos_yielding": 1.755166266754598, + "deflection": 11421284364745.611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2905": { + "node_id": "node_2905", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 170.22 kg\n Factor of Safety: 0.04\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": 170.21702017770718, + "fos_buckling": 0.03568421132024132, + "fos_yielding": 0.4461829779577766, + "deflection": 0.023215753061565165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002582)" + }, + "parent_node_id": "node_2904", + "improvement_over_parent": null + }, + "node_2906": { + "node_id": "node_2906", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 198.89 kg\n Factor of Safety: 0.04\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": 198.88741694264638, + "fos_buckling": 0.04082202847086705, + "fos_yielding": 0.5206999277053722, + "deflection": 0.01989959532291493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_2905", + "improvement_over_parent": null + }, + "node_2907": { + "node_id": "node_2907", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n Mass: 206.56 kg\n Factor of Safety: 1.28\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.5580799796013, + "fos_buckling": 1.282584978302193, + "fos_yielding": 2.129915226430251, + "deflection": 0.004922614661529878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003330)" + }, + "parent_node_id": "node_2906", + "improvement_over_parent": null + }, + "node_2908": { + "node_id": "node_2908", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5429395492632, + "fos_buckling": 1.5408844762337799, + "fos_yielding": 2.649468018961658, + "deflection": 0.003959724261289645, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2907", + "improvement_over_parent": null + }, + "node_2909": { + "node_id": "node_2909", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2908", + "improvement_over_parent": null + }, + "node_2910": { + "node_id": "node_2910", + "content": "INITIAL DESIGN (Trace 417)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 173.15 kg\n Factor of Safety: 0.34\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": 173.15488520662473, + "fos_buckling": 0.33715644318254545, + "fos_yielding": 1.0429424317185012, + "deflection": 0.015920646691752565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2911": { + "node_id": "node_2911", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n Mass: 179.23 kg\n Factor of Safety: 1.12\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.23210988962472, + "fos_buckling": 1.1215736839697947, + "fos_yielding": 1.3839911078931584, + "deflection": 0.005896327315551725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002751)" + }, + "parent_node_id": "node_2910", + "improvement_over_parent": null + }, + "node_2912": { + "node_id": "node_2912", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n\nPerformance:\n Mass: 221.99 kg\n Factor of Safety: 1.35\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.98877890871023, + "fos_buckling": 1.3496548488326223, + "fos_yielding": 1.7181712289820839, + "deflection": 0.00476887368915485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2911", + "improvement_over_parent": null + }, + "node_2913": { + "node_id": "node_2913", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 254.95 kg\n Factor of Safety: 1.52\n Max Deflection: 4.16e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.95145183991366, + "fos_buckling": 1.5151533456851174, + "fos_yielding": 1.9772402091828862, + "deflection": 0.004157703690364434, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_2912", + "improvement_over_parent": null + }, + "node_2914": { + "node_id": "node_2914", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.68 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.67966213154585, + "fos_buckling": 1.5415308491313013, + "fos_yielding": 2.6521263609148122, + "deflection": 0.003957405446686045, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.393)" + }, + "parent_node_id": "node_2913", + "improvement_over_parent": null + }, + "node_2915": { + "node_id": "node_2915", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2914", + "improvement_over_parent": null + }, + "node_2916": { + "node_id": "node_2916", + "content": "INITIAL DESIGN (Trace 418)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 238.25 kg\n Factor of Safety: 0.18\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": 238.25216984094104, + "fos_buckling": 0.17945653263372138, + "fos_yielding": 0.6298101979568259, + "deflection": 15105543097655.271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2917": { + "node_id": "node_2917", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 247.82 kg\n Factor of Safety: 1.44\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.81531082016085, + "fos_buckling": 1.435085950613394, + "fos_yielding": 1.8890385493369595, + "deflection": 0.004172280280448481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_2916", + "improvement_over_parent": null + }, + "node_2918": { + "node_id": "node_2918", + "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 250.96 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.96451052615424, + "fos_buckling": 1.4357196967696972, + "fos_yielding": 2.7167450687728394, + "deflection": 0.0038884920329888962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.481)" + }, + "parent_node_id": "node_2917", + "improvement_over_parent": null + }, + "node_2919": { + "node_id": "node_2919", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.52 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.52329871430385, + "fos_buckling": 1.5408181485673647, + "fos_yielding": 2.6480858394694673, + "deflection": 0.0039602164896444724, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_2918", + "improvement_over_parent": null + }, + "node_2920": { + "node_id": "node_2920", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2919", + "improvement_over_parent": null + }, + "node_2921": { + "node_id": "node_2921", + "content": "INITIAL DESIGN (Trace 419)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 185.88 kg\n Factor of Safety: 0.68\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.88363451990264, + "fos_buckling": 0.6827166216250257, + "fos_yielding": 1.3479655550571636, + "deflection": 0.005345834079459566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2922": { + "node_id": "node_2922", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 205.84 kg\n Factor of Safety: 0.75\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.83815976425458, + "fos_buckling": 0.7460606526277188, + "fos_yielding": 1.4954080678958221, + "deflection": 0.004831192005369832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2921", + "improvement_over_parent": null + }, + "node_2923": { + "node_id": "node_2923", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 239.79 kg\n Factor of Safety: 0.85\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.78801788586316, + "fos_buckling": 0.8492128454221571, + "fos_yielding": 1.747826898006609, + "deflection": 0.004152305309515105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_2922", + "improvement_over_parent": null + }, + "node_2924": { + "node_id": "node_2924", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 247.63 kg\n Factor of Safety: 1.24\n Max Deflection: 4.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.62678090384262, + "fos_buckling": 1.2428507529610484, + "fos_yielding": 1.8120496702281899, + "deflection": 0.0043047629523913205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_2923", + "improvement_over_parent": null + }, + "node_2925": { + "node_id": "node_2925", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 254.27 kg\n Factor of Safety: 1.49\n Max Deflection: 4.23e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.26938113266195, + "fos_buckling": 1.4887485145195107, + "fos_yielding": 1.8217590320592998, + "deflection": 0.0042256345490226796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_2924", + "improvement_over_parent": null + }, + "node_2926": { + "node_id": "node_2926", + "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.61 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6093582507427, + "fos_buckling": 1.5412453821781358, + "fos_yielding": 2.648016834069239, + "deflection": 0.003958988425698627, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.524)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 179.76 kg\n Factor of Safety: 0.51\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.76426933851658, + "fos_buckling": 0.5089811298612769, + "fos_yielding": 1.7572901782971728, + "deflection": 0.006800684219090186, + "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: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 181.07 kg\n Factor of Safety: 0.54\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.06764268080758, + "fos_buckling": 0.5409381756758346, + "fos_yielding": 1.7570929024615944, + "deflection": 0.00670319745309826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.230)" + }, + "parent_node_id": "node_2928", + "improvement_over_parent": null + }, + "node_2930": { + "node_id": "node_2930", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 200.34 kg\n Factor of Safety: 0.59\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.34281861532915, + "fos_buckling": 0.5898864850120698, + "fos_yielding": 1.9421903515267855, + "deflection": 0.006063364870469425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_2929", + "improvement_over_parent": null + }, + "node_2931": { + "node_id": "node_2931", + "content": "MODIFICATION: Increase 3 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 201.68 kg\n Factor of Safety: 0.59\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.6848531857227, + "fos_buckling": 0.5899004728842921, + "fos_yielding": 1.9421155929542997, + "deflection": 0.005991045593243288, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.425)" + }, + "parent_node_id": "node_2930", + "improvement_over_parent": null + }, + "node_2932": { + "node_id": "node_2932", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 236.57 kg\n Factor of Safety: 0.67\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.57124948363858, + "fos_buckling": 0.6737830748537079, + "fos_yielding": 2.2741041577770735, + "deflection": 0.00511577676378387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_2931", + "improvement_over_parent": null + }, + "node_2933": { + "node_id": "node_2933", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5274334904542, + "fos_buckling": 1.540751142921469, + "fos_yielding": 2.649257386375128, + "deflection": 0.00395984365845491, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_2932", + "improvement_over_parent": null + }, + "node_2934": { + "node_id": "node_2934", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2933", + "improvement_over_parent": null + }, + "node_2935": { + "node_id": "node_2935", + "content": "INITIAL DESIGN (Trace 421)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 162.77 kg\n Factor of Safety: 0.64\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.7716854464697, + "fos_buckling": 0.6410727749714438, + "fos_yielding": 1.7347378806829479, + "deflection": 0.0071015562137032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2936": { + "node_id": "node_2936", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 172.21 kg\n Factor of Safety: 0.96\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.20774902571776, + "fos_buckling": 0.9625169460755808, + "fos_yielding": 1.815666059233886, + "deflection": 0.005852541738491517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002581)" + }, + "parent_node_id": "node_2935", + "improvement_over_parent": null + }, + "node_2937": { + "node_id": "node_2937", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n\nPerformance:\n Mass: 176.77 kg\n Factor of Safety: 1.12\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.76817915940842, + "fos_buckling": 1.1210631234612114, + "fos_yielding": 1.8252572154333155, + "deflection": 0.005742294001031113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001991)" + }, + "parent_node_id": "node_2936", + "improvement_over_parent": null + }, + "node_2938": { + "node_id": "node_2938", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n\nPerformance:\n Mass: 224.14 kg\n Factor of Safety: 1.37\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.14401131646665, + "fos_buckling": 1.3742668414744972, + "fos_yielding": 2.3094367914226943, + "deflection": 0.004540992057380881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_2937", + "improvement_over_parent": null + }, + "node_2939": { + "node_id": "node_2939", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.40 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.40180293650695, + "fos_buckling": 1.540205561455846, + "fos_yielding": 2.648080147057691, + "deflection": 0.0039618551478696655, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_2938", + "improvement_over_parent": null + }, + "node_2940": { + "node_id": "node_2940", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2939", + "improvement_over_parent": null + }, + "node_2941": { + "node_id": "node_2941", + "content": "INITIAL DESIGN (Trace 422)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 151.35 kg\n Factor of Safety: 0.51\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.3529524832147, + "fos_buckling": 0.5115522702052995, + "fos_yielding": 1.7129991696368136, + "deflection": 0.008252600568471857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2942": { + "node_id": "node_2942", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 195.84 kg\n Factor of Safety: 0.65\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.84132063875438, + "fos_buckling": 0.6465595087757573, + "fos_yielding": 2.211017984477996, + "deflection": 0.006391227605402365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_2941", + "improvement_over_parent": null + }, + "node_2943": { + "node_id": "node_2943", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 223.49 kg\n Factor of Safety: 0.73\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.49446927808714, + "fos_buckling": 0.726908132311186, + "fos_yielding": 2.5193147970223735, + "deflection": 0.005607616349749242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2942", + "improvement_over_parent": null + }, + "node_2944": { + "node_id": "node_2944", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 241.48 kg\n Factor of Safety: 0.88\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.48383384474704, + "fos_buckling": 0.8846044647357925, + "fos_yielding": 2.5180176275598143, + "deflection": 0.004877307783841778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_2943", + "improvement_over_parent": null + }, + "node_2945": { + "node_id": "node_2945", + "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 243.83 kg\n Factor of Safety: 0.95\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.82738248960686, + "fos_buckling": 0.9511504279985834, + "fos_yielding": 2.5173422063773985, + "deflection": 0.004755346618243735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.337)" + }, + "parent_node_id": "node_2944", + "improvement_over_parent": null + }, + "node_2946": { + "node_id": "node_2946", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.58 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.57685095579427, + "fos_buckling": 1.5410754859079088, + "fos_yielding": 2.649920584444225, + "deflection": 0.003959153083409306, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_2945", + "improvement_over_parent": null + }, + "node_2947": { + "node_id": "node_2947", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2946", + "improvement_over_parent": null + }, + "node_2948": { + "node_id": "node_2948", + "content": "INITIAL DESIGN (Trace 423)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n Mass: 133.49 kg\n Factor of Safety: 0.17\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": 133.48896733634965, + "fos_buckling": 0.1714493454090137, + "fos_yielding": 1.1224769509580144, + "deflection": 0.01139716500184873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2949": { + "node_id": "node_2949", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 168.60 kg\n Factor of Safety: 0.21\n Max Deflection: 9.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.60135347983567, + "fos_buckling": 0.2102057019219867, + "fos_yielding": 1.4151594869680093, + "deflection": 0.009040789708739295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_2948", + "improvement_over_parent": null + }, + "node_2950": { + "node_id": "node_2950", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 185.24 kg\n Factor of Safety: 0.55\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.23508428352022, + "fos_buckling": 0.5485479711051513, + "fos_yielding": 1.78532231817965, + "deflection": 0.006518191838084994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003692)" + }, + "parent_node_id": "node_2949", + "improvement_over_parent": null + }, + "node_2951": { + "node_id": "node_2951", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 236.70 kg\n Factor of Safety: 0.67\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.69947726503298, + "fos_buckling": 0.6741443965268246, + "fos_yielding": 2.275505757186831, + "deflection": 0.0051130800271546595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2950", + "improvement_over_parent": null + }, + "node_2952": { + "node_id": "node_2952", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6556612718486, + "fos_buckling": 1.5415385725244113, + "fos_yielding": 2.650851502301015, + "deflection": 0.003957917293540248, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_2951", + "improvement_over_parent": null + }, + "node_2953": { + "node_id": "node_2953", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2952", + "improvement_over_parent": null + }, + "node_2954": { + "node_id": "node_2954", + "content": "INITIAL DESIGN (Trace 424)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 178.39 kg\n Factor of Safety: 0.87\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.38766817252116, + "fos_buckling": 0.8718894355519118, + "fos_yielding": 1.7291773531330525, + "deflection": 0.0063283046177821465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2955": { + "node_id": "node_2955", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 197.51 kg\n Factor of Safety: 0.95\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.51112762558344, + "fos_buckling": 0.9519315737498455, + "fos_yielding": 1.9128770058726492, + "deflection": 0.0057218508489163804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_2954", + "improvement_over_parent": null + }, + "node_2956": { + "node_id": "node_2956", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 201.45 kg\n Factor of Safety: 1.26\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.4473094774126, + "fos_buckling": 1.261155598905571, + "fos_yielding": 2.089605689708171, + "deflection": 0.005060003388399257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002359)" + }, + "parent_node_id": "node_2955", + "improvement_over_parent": null + }, + "node_2957": { + "node_id": "node_2957", + "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n Mass: 202.55 kg\n Factor of Safety: 1.26\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.54639947504552, + "fos_buckling": 1.2612864864182323, + "fos_yielding": 2.0889188779626586, + "deflection": 0.005018923152586716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.359)" + }, + "parent_node_id": "node_2956", + "improvement_over_parent": null + }, + "node_2958": { + "node_id": "node_2958", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.35 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.34986243087025, + "fos_buckling": 1.5399461826876146, + "fos_yielding": 2.6474886554621815, + "deflection": 0.003962629743101956, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2957", + "improvement_over_parent": null + }, + "node_2959": { + "node_id": "node_2959", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2958", + "improvement_over_parent": null + }, + "node_2960": { + "node_id": "node_2960", + "content": "INITIAL DESIGN (Trace 425)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 193.90 kg\n Factor of Safety: 0.95\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.90319925155103, + "fos_buckling": 0.9515588781460558, + "fos_yielding": 1.9119475929050949, + "deflection": 0.00580367485212294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2961": { + "node_id": "node_2961", + "content": "MODIFICATION: Increase 17 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 198.46 kg\n Factor of Safety: 0.95\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.45517407068704, + "fos_buckling": 0.9513532548515599, + "fos_yielding": 1.9115344382680182, + "deflection": 0.0056855560568523445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.410)" + }, + "parent_node_id": "node_2960", + "improvement_over_parent": null + }, + "node_2962": { + "node_id": "node_2962", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 252.51 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.5098741050456, + "fos_buckling": 1.1627337125775432, + "fos_yielding": 2.426443112223511, + "deflection": 0.0044824778715157896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2961", + "improvement_over_parent": null + }, + "node_2963": { + "node_id": "node_2963", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.51310071371194, + "fos_buckling": 1.5408388412468235, + "fos_yielding": 2.649377409954429, + "deflection": 0.003960094961622623, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_2962", + "improvement_over_parent": null + }, + "node_2964": { + "node_id": "node_2964", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2963", + "improvement_over_parent": null + }, + "node_2965": { + "node_id": "node_2965", + "content": "INITIAL DESIGN (Trace 426)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 223.59 kg\n Factor of Safety: 1.04\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.5907426277184, + "fos_buckling": 1.0382376713993904, + "fos_yielding": 2.430719385872812, + "deflection": 0.0050263001645232674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2966": { + "node_id": "node_2966", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n Mass: 237.61 kg\n Factor of Safety: 1.04\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.6068717783752, + "fos_buckling": 1.035071613701044, + "fos_yielding": 2.517282150043714, + "deflection": 0.0047974419442095165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003268)" + }, + "parent_node_id": "node_2965", + "improvement_over_parent": null + }, + "node_2967": { + "node_id": "node_2967", + "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0037)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n Mass: 239.88 kg\n Factor of Safety: 1.03\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.88032267392998, + "fos_buckling": 1.0348834946923167, + "fos_yielding": 2.5167908873725624, + "deflection": 0.00469052904787022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.397)" + }, + "parent_node_id": "node_2966", + "improvement_over_parent": null + }, + "node_2968": { + "node_id": "node_2968", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0037)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n Mass: 240.98 kg\n Factor of Safety: 1.03\n Max Deflection: 4.67e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.98377403192256, + "fos_buckling": 1.0348652370921283, + "fos_yielding": 2.5167114249776334, + "deflection": 0.004669451361368951, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.335)" + }, + "parent_node_id": "node_2967", + "improvement_over_parent": null + }, + "node_2969": { + "node_id": "node_2969", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0037)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 254.73 kg\n Factor of Safety: 1.50\n Max Deflection: 4.01e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 254.73324249810997, + "fos_buckling": 1.5011874763893565, + "fos_yielding": 2.6493492565022967, + "deflection": 0.004012575374993415, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 427)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0014)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 139.07 kg\n Factor of Safety: 0.68\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.0651669522337, + "fos_buckling": 0.6762182661163958, + "fos_yielding": 1.12938056173998, + "deflection": 0.007350509596940886, + "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 0 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0014)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 140.90 kg\n Factor of Safety: 0.68\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.89625750537886, + "fos_buckling": 0.6754738034804452, + "fos_yielding": 1.5096130371928669, + "deflection": 0.007157054791141877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.664)" + }, + "parent_node_id": "node_2971", + "improvement_over_parent": null + }, + "node_2973": { + "node_id": "node_2973", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 167.38 kg\n Factor of Safety: 0.79\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.3764904006879, + "fos_buckling": 0.79431810353908, + "fos_yielding": 1.7906740579566016, + "deflection": 0.006034170370175351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2972", + "improvement_over_parent": null + }, + "node_2974": { + "node_id": "node_2974", + "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 169.19 kg\n Factor of Safety: 0.92\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.18957164678835, + "fos_buckling": 0.9159035217413444, + "fos_yielding": 1.7916936833112624, + "deflection": 0.005964411345910297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.447)" + }, + "parent_node_id": "node_2973", + "improvement_over_parent": null + }, + "node_2975": { + "node_id": "node_2975", + "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 171.80 kg\n Factor of Safety: 1.02\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.8032663288012, + "fos_buckling": 1.016430074042793, + "fos_yielding": 1.7861161060706896, + "deflection": 0.005896433556358339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.546)" + }, + "parent_node_id": "node_2974", + "improvement_over_parent": null + }, + "node_2976": { + "node_id": "node_2976", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 218.59 kg\n Factor of Safety: 1.26\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.58764627852514, + "fos_buckling": 1.2565985921459981, + "fos_yielding": 2.2673720215291495, + "deflection": 0.004647154743467065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2975", + "improvement_over_parent": null + }, + "node_2977": { + "node_id": "node_2977", + "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 220.06 kg\n Factor of Safety: 1.35\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.0635676891332, + "fos_buckling": 1.3533239977984226, + "fos_yielding": 2.267915429053307, + "deflection": 0.004624059955407588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.206)" + }, + "parent_node_id": "node_2976", + "improvement_over_parent": null + }, + "node_2978": { + "node_id": "node_2978", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.72 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.7244646767196, + "fos_buckling": 1.5418620053638805, + "fos_yielding": 2.6514731467814316, + "deflection": 0.00395693261189064, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2977", + "improvement_over_parent": null + }, + "node_2979": { + "node_id": "node_2979", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2978", + "improvement_over_parent": null + }, + "node_2980": { + "node_id": "node_2980", + "content": "INITIAL DESIGN (Trace 428)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 162.74 kg\n Factor of Safety: 0.90\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.73794713046456, + "fos_buckling": 0.8966213018328224, + "fos_yielding": 1.55390747964362, + "deflection": 0.0062287259033702806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2981": { + "node_id": "node_2981", + "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 164.30 kg\n Factor of Safety: 0.92\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.29726122639528, + "fos_buckling": 0.9234104130798785, + "fos_yielding": 1.7328998880777287, + "deflection": 0.00613158024902861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.422)" + }, + "parent_node_id": "node_2980", + "improvement_over_parent": null + }, + "node_2982": { + "node_id": "node_2982", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 202.21 kg\n Factor of Safety: 1.11\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.20763074294874, + "fos_buckling": 1.106644439306013, + "fos_yielding": 2.129050033186463, + "deflection": 0.004992866292605434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2981", + "improvement_over_parent": null + }, + "node_2983": { + "node_id": "node_2983", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n Mass: 207.56 kg\n Factor of Safety: 1.29\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.56068348827492, + "fos_buckling": 1.287976327836615, + "fos_yielding": 2.140222291753184, + "deflection": 0.0048991182200237215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002363)" + }, + "parent_node_id": "node_2982", + "improvement_over_parent": null + }, + "node_2984": { + "node_id": "node_2984", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.47 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.46943715974595, + "fos_buckling": 1.540633454664162, + "fos_yielding": 2.648801452505717, + "deflection": 0.003960836437134998, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2983", + "improvement_over_parent": null + }, + "node_2985": { + "node_id": "node_2985", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2984", + "improvement_over_parent": null + }, + "node_2986": { + "node_id": "node_2986", + "content": "INITIAL DESIGN (Trace 429)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 163.54 kg\n Factor of Safety: 0.69\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.54234956272074, + "fos_buckling": 0.6850584914573233, + "fos_yielding": 1.7077461913348675, + "deflection": 0.00643187572773472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2987": { + "node_id": "node_2987", + "content": "MODIFICATION: Increase 13 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 170.67 kg\n Factor of Safety: 0.68\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.6652729803499, + "fos_buckling": 0.6849177448621842, + "fos_yielding": 1.7073967890363273, + "deflection": 0.006177389241318316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.484)" + }, + "parent_node_id": "node_2986", + "improvement_over_parent": null + }, + "node_2988": { + "node_id": "node_2988", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 208.67 kg\n Factor of Safety: 0.81\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.66581718769308, + "fos_buckling": 0.8138388882410794, + "fos_yielding": 2.0835886821141045, + "deflection": 0.005063084377814917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_2987", + "improvement_over_parent": null + }, + "node_2989": { + "node_id": "node_2989", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n Mass: 224.38 kg\n Factor of Safety: 1.38\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.37784705485683, + "fos_buckling": 1.3760619454166332, + "fos_yielding": 2.311701558426865, + "deflection": 0.004536327647606329, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003817)" + }, + "parent_node_id": "node_2988", + "improvement_over_parent": null + }, + "node_2990": { + "node_id": "node_2990", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.67 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.66633357890794, + "fos_buckling": 1.5421167650814007, + "fos_yielding": 2.6506343298278994, + "deflection": 0.003957853479315103, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 430)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n Mass: 137.17 kg\n Factor of Safety: 0.36\n Max Deflection: 1.90e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.1702470947253, + "fos_buckling": 0.36335720907625174, + "fos_yielding": 1.2596203959136516, + "deflection": 19012559676018.47, + "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: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n\nPerformance:\n Mass: 141.96 kg\n Factor of Safety: 0.02\n Max Deflection: 2.54e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.95843903502356, + "fos_buckling": 0.019815254390214646, + "fos_yielding": 0.03936313737230161, + "deflection": 253827564472427.66, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002097)" + }, + "parent_node_id": "node_2992", + "improvement_over_parent": null + }, + "node_2994": { + "node_id": "node_2994", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n Mass: 166.70 kg\n Factor of Safety: 0.66\n Max Deflection: 3.10e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.69607028796395, + "fos_buckling": 0.6632270603315181, + "fos_yielding": 3.510332533509196, + "deflection": 3099754913144.2866, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2993", + "improvement_over_parent": null + }, + "node_2995": { + "node_id": "node_2995", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 181.91 kg\n Factor of Safety: 0.59\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.91304690681233, + "fos_buckling": 0.5872996265121174, + "fos_yielding": 1.7815935504871667, + "deflection": 0.006759169772484204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003693)" + }, + "parent_node_id": "node_2994", + "improvement_over_parent": null + }, + "node_2996": { + "node_id": "node_2996", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n\nPerformance:\n Mass: 198.06 kg\n Factor of Safety: 0.59\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.05829051020075, + "fos_buckling": 0.5870300347400628, + "fos_yielding": 1.8528055238587797, + "deflection": 0.006149875016903287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003804)" + }, + "parent_node_id": "node_2995", + "improvement_over_parent": null + }, + "node_2997": { + "node_id": "node_2997", + "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n\nPerformance:\n Mass: 199.96 kg\n Factor of Safety: 0.59\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.96355141653842, + "fos_buckling": 0.5869346524449013, + "fos_yielding": 2.0944032883578516, + "deflection": 0.006003783133987468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.332)" + }, + "parent_node_id": "node_2996", + "improvement_over_parent": null + }, + "node_2998": { + "node_id": "node_2998", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 217.94 kg\n Factor of Safety: 1.34\n Max Deflection: 4.67e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.94040524505243, + "fos_buckling": 1.3423145314276153, + "fos_yielding": 2.2464941596007515, + "deflection": 0.004668138776073858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004014)" + }, + "parent_node_id": "node_2997", + "improvement_over_parent": null + }, + "node_2999": { + "node_id": "node_2999", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.62 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.62341886307786, + "fos_buckling": 1.5413583775799726, + "fos_yielding": 2.650725357104089, + "deflection": 0.003958131781645771, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_2998", + "improvement_over_parent": null + }, + "node_3000": { + "node_id": "node_3000", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2999", + "improvement_over_parent": null + }, + "node_3001": { + "node_id": "node_3001", + "content": "INITIAL DESIGN (Trace 431)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 185.82 kg\n Factor of Safety: 0.94\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.82253873789108, + "fos_buckling": 0.9427210649252785, + "fos_yielding": 1.7411386989601405, + "deflection": 0.005493548803108002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3002": { + "node_id": "node_3002", + "content": "MODIFICATION: Increase 20 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 191.36 kg\n Factor of Safety: 1.20\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.35607898809607, + "fos_buckling": 1.2047453426224077, + "fos_yielding": 1.7416953216994668, + "deflection": 0.005349730700940919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.567)" + }, + "parent_node_id": "node_3001", + "improvement_over_parent": null + }, + "node_3003": { + "node_id": "node_3003", + "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n Mass: 193.24 kg\n Factor of Safety: 1.21\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.23754725300643, + "fos_buckling": 1.2113102381864167, + "fos_yielding": 1.9937255317466374, + "deflection": 0.005257947756839783, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.458)" + }, + "parent_node_id": "node_3002", + "improvement_over_parent": null + }, + "node_3004": { + "node_id": "node_3004", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 218.64 kg\n Factor of Safety: 1.35\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.6400040670819, + "fos_buckling": 1.3458434646837336, + "fos_yielding": 2.253197329720339, + "deflection": 0.004653878874489106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_3003", + "improvement_over_parent": null + }, + "node_3005": { + "node_id": "node_3005", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.65 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.65270720135743, + "fos_buckling": 1.5413960601121153, + "fos_yielding": 2.65051971407082, + "deflection": 0.0039580961892304, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_3004", + "improvement_over_parent": null + }, + "node_3006": { + "node_id": "node_3006", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3005", + "improvement_over_parent": null + }, + "node_3007": { + "node_id": "node_3007", + "content": "INITIAL DESIGN (Trace 432)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 115.91 kg\n Factor of Safety: 0.35\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.91212530195199, + "fos_buckling": 0.35080031135294876, + "fos_yielding": 1.1925121570366297, + "deflection": 0.010867106373206746, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3008": { + "node_id": "node_3008", + "content": "MODIFICATION: Increase 12 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 120.56 kg\n Factor of Safety: 0.38\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.56387574838377, + "fos_buckling": 0.3809570245403059, + "fos_yielding": 1.192352671804395, + "deflection": 0.01076296110870397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.404)" + }, + "parent_node_id": "node_3007", + "improvement_over_parent": null + }, + "node_3009": { + "node_id": "node_3009", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 121.60 kg\n Factor of Safety: 0.38\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.60079128169684, + "fos_buckling": 0.38139012824360197, + "fos_yielding": 1.1923171269765742, + "deflection": 0.01072266749995291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.326)" + }, + "parent_node_id": "node_3008", + "improvement_over_parent": null + }, + "node_3010": { + "node_id": "node_3010", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 159.19 kg\n Factor of Safety: 0.49\n Max Deflection: 8.21e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.18582846757388, + "fos_buckling": 0.4852445423410732, + "fos_yielding": 1.5571352272056411, + "deflection": 0.008210477901543873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_3009", + "improvement_over_parent": null + }, + "node_3011": { + "node_id": "node_3011", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n\nPerformance:\n Mass: 163.72 kg\n Factor of Safety: 0.67\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.7246931842475, + "fos_buckling": 0.6735661446004518, + "fos_yielding": 1.8046015567217437, + "deflection": 0.006666518055681704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001981)" + }, + "parent_node_id": "node_3010", + "improvement_over_parent": null + }, + "node_3012": { + "node_id": "node_3012", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 176.02 kg\n Factor of Safety: 1.12\n Max Deflection: 5.77e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.01929543367422, + "fos_buckling": 1.117001471380752, + "fos_yielding": 1.8176357267894676, + "deflection": 0.005766432073038771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002939)" + }, + "parent_node_id": "node_3011", + "improvement_over_parent": null + }, + "node_3013": { + "node_id": "node_3013", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 211.98 kg\n Factor of Safety: 1.31\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.9798877817204, + "fos_buckling": 1.311258266104734, + "fos_yielding": 2.1853776945691075, + "deflection": 0.0047981655536438956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_3012", + "improvement_over_parent": null + }, + "node_3014": { + "node_id": "node_3014", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.536692954559, + "fos_buckling": 1.5409867956019305, + "fos_yielding": 2.6495198486007565, + "deflection": 0.003959782514511921, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_3013", + "improvement_over_parent": null + }, + "node_3015": { + "node_id": "node_3015", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3014", + "improvement_over_parent": null + }, + "node_3016": { + "node_id": "node_3016", + "content": "INITIAL DESIGN (Trace 433)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 208.47 kg\n Factor of Safety: 0.61\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.4728384568262, + "fos_buckling": 0.6097690717618813, + "fos_yielding": 2.1914997398207334, + "deflection": 0.0057462007420039625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3017": { + "node_id": "node_3017", + "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 209.37 kg\n Factor of Safety: 0.61\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.37386047552232, + "fos_buckling": 0.6096754452369633, + "fos_yielding": 2.1911621090526996, + "deflection": 0.005737451452935856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.196)" + }, + "parent_node_id": "node_3016", + "improvement_over_parent": null + }, + "node_3018": { + "node_id": "node_3018", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 236.43 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.43026233858325, + "fos_buckling": 0.6728174776800373, + "fos_yielding": 2.469087979743788, + "deflection": 0.005089859377624389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_3017", + "improvement_over_parent": null + }, + "node_3019": { + "node_id": "node_3019", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.69 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6853884204754, + "fos_buckling": 1.5416441795027325, + "fos_yielding": 2.651087840981485, + "deflection": 0.003957483800681858, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_3018", + "improvement_over_parent": null + }, + "node_3020": { + "node_id": "node_3020", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3019", + "improvement_over_parent": null + }, + "node_3021": { + "node_id": "node_3021", + "content": "INITIAL DESIGN (Trace 434)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 154.49 kg\n Factor of Safety: 0.20\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": 154.4907970322224, + "fos_buckling": 0.20405595455514303, + "fos_yielding": 0.9099074439498175, + "deflection": 0.012741705716380655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3022": { + "node_id": "node_3022", + "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 156.41 kg\n Factor of Safety: 0.20\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": 156.41059392628767, + "fos_buckling": 0.2047930392175113, + "fos_yielding": 0.9098243636017632, + "deflection": 0.012608384978536304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.468)" + }, + "parent_node_id": "node_3021", + "improvement_over_parent": null + }, + "node_3023": { + "node_id": "node_3023", + "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 157.87 kg\n Factor of Safety: 0.20\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": 157.8660507191602, + "fos_buckling": 0.20479500993781422, + "fos_yielding": 0.9097613879570136, + "deflection": 0.012609019721236651, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.335)" + }, + "parent_node_id": "node_3022", + "improvement_over_parent": null + }, + "node_3024": { + "node_id": "node_3024", + "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 162.59 kg\n Factor of Safety: 0.20\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": 162.5865552733799, + "fos_buckling": 0.20480140186513696, + "fos_yielding": 1.0624386914355373, + "deflection": 0.011157174927830481, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.548)" + }, + "parent_node_id": "node_3023", + "improvement_over_parent": null + }, + "node_3025": { + "node_id": "node_3025", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 202.57 kg\n Factor of Safety: 0.25\n Max Deflection: 8.97e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.57162373547817, + "fos_buckling": 0.24711598198242665, + "fos_yielding": 1.3212021178572986, + "deflection": 0.008970824905876517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_3024", + "improvement_over_parent": null + }, + "node_3026": { + "node_id": "node_3026", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n\nPerformance:\n Mass: 231.58 kg\n Factor of Safety: 1.26\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.5764606466342, + "fos_buckling": 1.2638108513324486, + "fos_yielding": 2.40578738070164, + "deflection": 0.004388876701210157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005314)" + }, + "parent_node_id": "node_3025", + "improvement_over_parent": null + }, + "node_3027": { + "node_id": "node_3027", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 254.99 kg\n Factor of Safety: 1.37\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.98692820137748, + "fos_buckling": 1.3730349329412517, + "fos_yielding": 2.6459549366878266, + "deflection": 0.003991395718954851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_3026", + "improvement_over_parent": null + }, + "node_3028": { + "node_id": "node_3028", + "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.30 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.29586930994344, + "fos_buckling": 1.540055670631932, + "fos_yielding": 2.6468498600958106, + "deflection": 0.003963469788657318, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.299)" + }, + "parent_node_id": "node_3027", + "improvement_over_parent": null + }, + "node_3029": { + "node_id": "node_3029", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3028", + "improvement_over_parent": null + }, + "node_3030": { + "node_id": "node_3030", + "content": "INITIAL DESIGN (Trace 435)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0012)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0017)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0012)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0015)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0023)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0019)]\n\nPerformance:\n Mass: 96.01 kg\n Factor of Safety: 0.31\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": 96.01173928509684, + "fos_buckling": 0.3116577832268675, + "fos_yielding": 0.7170341998550673, + "deflection": 0.013403514231256982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3031": { + "node_id": "node_3031", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 121.91 kg\n Factor of Safety: 0.39\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.91053478153896, + "fos_buckling": 0.3883178099914854, + "fos_yielding": 0.9115385515382296, + "deflection": 0.010565035584755359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_3030", + "improvement_over_parent": null + }, + "node_3032": { + "node_id": "node_3032", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 158.44 kg\n Factor of Safety: 0.49\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.43637752678194, + "fos_buckling": 0.491094379806954, + "fos_yielding": 1.1868381761213036, + "deflection": 0.008138914858506438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_3031", + "improvement_over_parent": null + }, + "node_3033": { + "node_id": "node_3033", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n\nPerformance:\n Mass: 161.69 kg\n Factor of Safety: 0.49\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.6879916416942, + "fos_buckling": 0.4911226102985396, + "fos_yielding": 1.1867272625157341, + "deflection": 0.007758199165286445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001989)" + }, + "parent_node_id": "node_3032", + "improvement_over_parent": null + }, + "node_3034": { + "node_id": "node_3034", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n Mass: 192.64 kg\n Factor of Safety: 0.57\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.63976891751403, + "fos_buckling": 0.5717326736913833, + "fos_yielding": 1.4162782071993307, + "deflection": 0.006517419497153451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_3033", + "improvement_over_parent": null + }, + "node_3035": { + "node_id": "node_3035", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 234.60 kg\n Factor of Safety: 0.67\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.5963967699461, + "fos_buckling": 0.6741462366465144, + "fos_yielding": 1.7291218019202206, + "deflection": 0.005357976243025235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_3034", + "improvement_over_parent": null + }, + "node_3036": { + "node_id": "node_3036", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 255.55 kg\n Factor of Safety: 1.29\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.55258077676172, + "fos_buckling": 1.294536966107675, + "fos_yielding": 2.467777365122629, + "deflection": 0.004073855299354426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)" + }, + "parent_node_id": "node_3035", + "improvement_over_parent": null + }, + "node_3037": { + "node_id": "node_3037", + "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.63 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6341557858541, + "fos_buckling": 1.5413464872261071, + "fos_yielding": 2.650429273045955, + "deflection": 0.0039581123381915, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.348)" + }, + "parent_node_id": "node_3036", + "improvement_over_parent": null + }, + "node_3038": { + "node_id": "node_3038", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3037", + "improvement_over_parent": null + }, + "node_3039": { + "node_id": "node_3039", + "content": "INITIAL DESIGN (Trace 436)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 191.91 kg\n Factor of Safety: 0.25\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": 191.9117041955066, + "fos_buckling": 0.25333191119949994, + "fos_yielding": 0.9629768727132063, + "deflection": 0.015843380655535994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3040": { + "node_id": "node_3040", + "content": "MODIFICATION: Increase 17 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 195.21 kg\n Factor of Safety: 0.32\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": 195.21413022205476, + "fos_buckling": 0.32251483449404034, + "fos_yielding": 1.252769860479475, + "deflection": 0.014579789701588344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.326)" + }, + "parent_node_id": "node_3039", + "improvement_over_parent": null + }, + "node_3041": { + "node_id": "node_3041", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 230.81 kg\n Factor of Safety: 0.37\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": 230.80795750990848, + "fos_buckling": 0.373531595758493, + "fos_yielding": 1.4763639960735722, + "deflection": 0.012350454767706453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_3040", + "improvement_over_parent": null + }, + "node_3042": { + "node_id": "node_3042", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 239.44 kg\n Factor of Safety: 1.01\n Max Deflection: 4.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.44482103756204, + "fos_buckling": 1.0119089843441342, + "fos_yielding": 2.604072123290273, + "deflection": 0.0042000130651116815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_3041", + "improvement_over_parent": null + }, + "node_3043": { + "node_id": "node_3043", + "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0038)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 241.11 kg\n Factor of Safety: 1.02\n Max Deflection: 4.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.1106308347091, + "fos_buckling": 1.0243118040950459, + "fos_yielding": 2.6051601628218, + "deflection": 0.004194144737832456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.284)" + }, + "parent_node_id": "node_3042", + "improvement_over_parent": null + }, + "node_3044": { + "node_id": "node_3044", + "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0038)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0068)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 249.24 kg\n Factor of Safety: 0.94\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.24158805302187, + "fos_buckling": 0.9428873760331715, + "fos_yielding": 2.5952713716456586, + "deflection": 0.004137693100394333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.493)" + }, + "parent_node_id": "node_3043", + "improvement_over_parent": null + }, + "node_3045": { + "node_id": "node_3045", + "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0038)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0068)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 251.50 kg\n Factor of Safety: 1.05\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.50236501948837, + "fos_buckling": 1.0517185159859417, + "fos_yielding": 2.607162212662685, + "deflection": 0.0040990380599227536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.314)" + }, + "parent_node_id": "node_3044", + "improvement_over_parent": null + }, + "node_3046": { + "node_id": "node_3046", + "content": "MODIFICATION: Increase 18 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0038)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0068)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0057)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 256.01 kg\n Factor of Safety: 1.05\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.01399782202793, + "fos_buckling": 1.0502819102261118, + "fos_yielding": 2.60762533936222, + "deflection": 0.004071313595747445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.284)" + }, + "parent_node_id": "node_3045", + "improvement_over_parent": null + }, + "node_3047": { + "node_id": "node_3047", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3046", + "improvement_over_parent": null + }, + "node_3048": { + "node_id": "node_3048", + "content": "INITIAL DESIGN (Trace 437)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 178.36 kg\n Factor of Safety: 0.34\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": 178.3592066659649, + "fos_buckling": 0.3425220413824494, + "fos_yielding": 1.0618647486092687, + "deflection": 0.015442581216210964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3049": { + "node_id": "node_3049", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n Mass: 184.55 kg\n Factor of Safety: 1.16\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.54837055790946, + "fos_buckling": 1.1640049515534199, + "fos_yielding": 1.9049010724426432, + "deflection": 0.00550267496786605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002805)" + }, + "parent_node_id": "node_3048", + "improvement_over_parent": null + }, + "node_3050": { + "node_id": "node_3050", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n Mass: 215.52 kg\n Factor of Safety: 1.33\n Max Deflection: 4.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.5174138276525, + "fos_buckling": 1.3296352731307028, + "fos_yielding": 2.221413691893986, + "deflection": 0.00472039735593187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_3049", + "improvement_over_parent": null + }, + "node_3051": { + "node_id": "node_3051", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.70 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.70464834890475, + "fos_buckling": 1.5416713411312233, + "fos_yielding": 2.651140653865651, + "deflection": 0.003957261016400748, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_3050", + "improvement_over_parent": null + }, + "node_3052": { + "node_id": "node_3052", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3051", + "improvement_over_parent": null + }, + "node_3053": { + "node_id": "node_3053", + "content": "INITIAL DESIGN (Trace 438)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n Mass: 164.53 kg\n Factor of Safety: 0.01\n Max Deflection: 7.31e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.52625786718585, + "fos_buckling": 0.011776258435413361, + "fos_yielding": 0.15249703674522713, + "deflection": 73115350035457.05, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3054": { + "node_id": "node_3054", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 185.34 kg\n Factor of Safety: 0.06\n Max Deflection: 2.17e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.3378990730827, + "fos_buckling": 0.05721071380514331, + "fos_yielding": 0.6298101979568259, + "deflection": 21676798167846.13, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_3053", + "improvement_over_parent": null + }, + "node_3055": { + "node_id": "node_3055", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 204.43 kg\n Factor of Safety: 0.26\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.42764284789016, + "fos_buckling": 0.2636382589458185, + "fos_yielding": 1.456018650736895, + "deflection": 0.00877187175658598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_3054", + "improvement_over_parent": null + }, + "node_3056": { + "node_id": "node_3056", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 236.38 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.37758522162767, + "fos_buckling": 0.6727533867766528, + "fos_yielding": 2.468798121984173, + "deflection": 0.005090706263053785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_3055", + "improvement_over_parent": null + }, + "node_3057": { + "node_id": "node_3057", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.63 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.63271130351984, + "fos_buckling": 1.5408719802008124, + "fos_yielding": 2.650763274817047, + "deflection": 0.00395817125133996, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_3056", + "improvement_over_parent": null + }, + "node_3058": { + "node_id": "node_3058", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3057", + "improvement_over_parent": null + }, + "node_3059": { + "node_id": "node_3059", + "content": "INITIAL DESIGN (Trace 439)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 199.24 kg\n Factor of Safety: 0.99\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.23754675625878, + "fos_buckling": 0.9870615612421941, + "fos_yielding": 1.9952107187354253, + "deflection": 0.005524171328072794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3060": { + "node_id": "node_3060", + "content": "MODIFICATION: Increase 14 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 203.13 kg\n Factor of Safety: 0.99\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.13281281630242, + "fos_buckling": 0.9867574603521687, + "fos_yielding": 1.994596020139933, + "deflection": 0.005460204430453536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.567)" + }, + "parent_node_id": "node_3059", + "improvement_over_parent": null + }, + "node_3061": { + "node_id": "node_3061", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.78 kg\n Factor of Safety: 1.16\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.78188314822, + "fos_buckling": 1.1631637561776926, + "fos_yielding": 2.427516635036574, + "deflection": 0.0044891344465950505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_3060", + "improvement_over_parent": null + }, + "node_3062": { + "node_id": "node_3062", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 252.79 kg\n Factor of Safety: 1.36\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.78510975688633, + "fos_buckling": 1.3593902674088605, + "fos_yielding": 2.655939456741402, + "deflection": 0.004004346930218578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_3061", + "improvement_over_parent": null + }, + "node_3063": { + "node_id": "node_3063", + "content": "MODIFICATION: Increase 11 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0050)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 255.71 kg\n Factor of Safety: 1.36\n Max Deflection: 3.98e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.70520845808753, + "fos_buckling": 1.3599299162559133, + "fos_yielding": 2.656827837556773, + "deflection": 0.003979613285010752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.307)" + }, + "parent_node_id": "node_3062", + "improvement_over_parent": null + }, + "node_3064": { + "node_id": "node_3064", + "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0048)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0050)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 258.86 kg\n Factor of Safety: 1.32\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.85923492261577, + "fos_buckling": 1.323228327751918, + "fos_yielding": 2.6654147562470665, + "deflection": 0.0039951661923410126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.464)" + }, + "parent_node_id": "node_3063", + "improvement_over_parent": null + }, + "node_3065": { + "node_id": "node_3065", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3064", + "improvement_over_parent": null + }, + "node_3066": { + "node_id": "node_3066", + "content": "INITIAL DESIGN (Trace 440)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 168.59 kg\n Factor of Safety: 0.78\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.5928382428575, + "fos_buckling": 0.7819368538081213, + "fos_yielding": 1.7929691846520737, + "deflection": 0.006711765662774985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3067": { + "node_id": "node_3067", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 196.64 kg\n Factor of Safety: 0.89\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.64085476600064, + "fos_buckling": 0.8928423601764239, + "fos_yielding": 2.0878005330868117, + "deflection": 0.005764602859848292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_3066", + "improvement_over_parent": null + }, + "node_3068": { + "node_id": "node_3068", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 208.02 kg\n Factor of Safety: 1.27\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.02468786539814, + "fos_buckling": 1.2723844951025978, + "fos_yielding": 2.2060160310291765, + "deflection": 0.00484008792190181, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003155)" + }, + "parent_node_id": "node_3067", + "improvement_over_parent": null + }, + "node_3069": { + "node_id": "node_3069", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 251.48 kg\n Factor of Safety: 1.49\n Max Deflection: 4.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.48047829749532, + "fos_buckling": 1.4895153542548243, + "fos_yielding": 2.660519558948793, + "deflection": 0.004014133163482126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_3068", + "improvement_over_parent": null + }, + "node_3070": { + "node_id": "node_3070", + "content": "MODIFICATION: Increase 14 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5987952970348, + "fos_buckling": 1.5411486424682503, + "fos_yielding": 2.6499251470667256, + "deflection": 0.0039589170368826065, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.517)" + }, + "parent_node_id": "node_3069", + "improvement_over_parent": null + }, + "node_3071": { + "node_id": "node_3071", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3070", + "improvement_over_parent": null + }, + "node_3072": { + "node_id": "node_3072", + "content": "INITIAL DESIGN (Trace 441)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 184.89 kg\n Factor of Safety: 0.94\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.88622403105518, + "fos_buckling": 0.9352058327373485, + "fos_yielding": 2.1040997868867963, + "deflection": 0.005404591550247635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3073": { + "node_id": "node_3073", + "content": "MODIFICATION: Increase 14 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 190.16 kg\n Factor of Safety: 0.94\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.15538017890788, + "fos_buckling": 0.9426630651365094, + "fos_yielding": 2.0950592084429323, + "deflection": 0.005315758084634083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.572)" + }, + "parent_node_id": "node_3072", + "improvement_over_parent": null + }, + "node_3074": { + "node_id": "node_3074", + "content": "MODIFICATION: Increase 18 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 194.32 kg\n Factor of Safety: 0.94\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.3231043468799, + "fos_buckling": 0.9446478277645621, + "fos_yielding": 2.0996793125166158, + "deflection": 0.005217216824640471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.359)" + }, + "parent_node_id": "node_3073", + "improvement_over_parent": null + }, + "node_3075": { + "node_id": "node_3075", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 216.26 kg\n Factor of Safety: 1.04\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.26144479426216, + "fos_buckling": 1.041213212580098, + "fos_yielding": 2.333613834955429, + "deflection": 0.004693625355982422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_3074", + "improvement_over_parent": null + }, + "node_3076": { + "node_id": "node_3076", + "content": "MODIFICATION: Increase 13 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 224.37 kg\n Factor of Safety: 1.23\n Max Deflection: 4.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.3668574997178, + "fos_buckling": 1.230055695598118, + "fos_yielding": 2.34709143000033, + "deflection": 0.004520845011344812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.437)" + }, + "parent_node_id": "node_3075", + "improvement_over_parent": null + }, + "node_3077": { + "node_id": "node_3077", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.41 kg\n Factor of Safety: 1.37\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.4134124361472, + "fos_buckling": 1.374410864435316, + "fos_yielding": 2.6573254250053457, + "deflection": 0.003993976944313581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_3076", + "improvement_over_parent": null + }, + "node_3078": { + "node_id": "node_3078", + "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.67 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6743328853823, + "fos_buckling": 1.5413987625903336, + "fos_yielding": 2.6507817896252233, + "deflection": 0.003957761544308522, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.437)" + }, + "parent_node_id": "node_3077", + "improvement_over_parent": null + }, + "node_3079": { + "node_id": "node_3079", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3078", + "improvement_over_parent": null + }, + "node_3080": { + "node_id": "node_3080", + "content": "INITIAL DESIGN (Trace 442)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 190.15 kg\n Factor of Safety: 0.40\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.15100379312284, + "fos_buckling": 0.4005257388382925, + "fos_yielding": 1.9401141021687234, + "deflection": 0.005851917114781849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3081": { + "node_id": "node_3081", + "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 191.87 kg\n Factor of Safety: 0.38\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.86847639419435, + "fos_buckling": 0.3774184557342151, + "fos_yielding": 1.9301240978431464, + "deflection": 0.005761461811462166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.206)" + }, + "parent_node_id": "node_3080", + "improvement_over_parent": null + }, + "node_3082": { + "node_id": "node_3082", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.63 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.62821911833436, + "fos_buckling": 0.46931250330055985, + "fos_yielding": 2.4852483319326986, + "deflection": 0.004476623092430477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_3081", + "improvement_over_parent": null + }, + "node_3083": { + "node_id": "node_3083", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.59997251703, + "fos_buckling": 1.5412198100878023, + "fos_yielding": 2.650225427061609, + "deflection": 0.003958820109296962, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_3082", + "improvement_over_parent": null + }, + "node_3084": { + "node_id": "node_3084", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3083", + "improvement_over_parent": null + }, + "node_3085": { + "node_id": "node_3085", + "content": "INITIAL DESIGN (Trace 443)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 219.53 kg\n Factor of Safety: 0.43\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.52734453155284, + "fos_buckling": 0.43276235536591556, + "fos_yielding": 2.2369792759714877, + "deflection": 0.005010542593061222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3086": { + "node_id": "node_3086", + "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 221.11 kg\n Factor of Safety: 0.42\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.11302195904102, + "fos_buckling": 0.42458693384207785, + "fos_yielding": 2.2331899438669613, + "deflection": 0.004966682630862419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.590)" + }, + "parent_node_id": "node_3085", + "improvement_over_parent": null + }, + "node_3087": { + "node_id": "node_3087", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 246.08 kg\n Factor of Safety: 0.46\n Max Deflection: 4.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.07694516473637, + "fos_buckling": 0.46462934869733563, + "fos_yielding": 2.4826327414924165, + "deflection": 0.004468798391044386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_3086", + "improvement_over_parent": null + }, + "node_3088": { + "node_id": "node_3088", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.57 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.5679044130787, + "fos_buckling": 0.4690942268524615, + "fos_yielding": 2.4845029344275025, + "deflection": 0.004477571184622233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.258)" + }, + "parent_node_id": "node_3087", + "improvement_over_parent": null + }, + "node_3089": { + "node_id": "node_3089", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53965781177436, + "fos_buckling": 1.5409003239046772, + "fos_yielding": 2.649435939010086, + "deflection": 0.003959709587051423, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_3088", + "improvement_over_parent": null + }, + "node_3090": { + "node_id": "node_3090", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3089", + "improvement_over_parent": null + }, + "node_3091": { + "node_id": "node_3091", + "content": "INITIAL DESIGN (Trace 444)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 191.95 kg\n Factor of Safety: 0.52\n Max Deflection: 4.93e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.9482287497621, + "fos_buckling": 0.5174834404660231, + "fos_yielding": 1.6794938612182022, + "deflection": 4928388137435.472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3092": { + "node_id": "node_3092", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n\nPerformance:\n Mass: 197.84 kg\n Factor of Safety: 0.41\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": 197.84001058222947, + "fos_buckling": 0.41090149656061004, + "fos_yielding": 0.7982234395854768, + "deflection": 0.015424079339989606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002621)" + }, + "parent_node_id": "node_3091", + "improvement_over_parent": null + }, + "node_3093": { + "node_id": "node_3093", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 223.07 kg\n Factor of Safety: 0.45\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": 223.07015575219594, + "fos_buckling": 0.45339048332103354, + "fos_yielding": 0.8984653980937528, + "deflection": 0.013703721332953632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_3092", + "improvement_over_parent": null + }, + "node_3094": { + "node_id": "node_3094", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 231.71 kg\n Factor of Safety: 0.93\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.7070192798495, + "fos_buckling": 0.9268541012313928, + "fos_yielding": 2.427301962972034, + "deflection": 0.0051603388952161326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_3093", + "improvement_over_parent": null + }, + "node_3095": { + "node_id": "node_3095", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 249.70 kg\n Factor of Safety: 1.16\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.6963838465094, + "fos_buckling": 1.162855836438549, + "fos_yielding": 2.4266124487663077, + "deflection": 0.004527950724744766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_3094", + "improvement_over_parent": null + }, + "node_3096": { + "node_id": "node_3096", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 254.70 kg\n Factor of Safety: 1.42\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.69961045517573, + "fos_buckling": 1.4243114682118725, + "fos_yielding": 2.6344416491078904, + "deflection": 0.003936644417730719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_3095", + "improvement_over_parent": null + }, + "node_3097": { + "node_id": "node_3097", + "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0061)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 260.27 kg\n Factor of Safety: 1.45\n Max Deflection: 3.90e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.2745356807897, + "fos_buckling": 1.4456952403390677, + "fos_yielding": 2.6356193675799835, + "deflection": 0.0038978087075719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.605)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 179.91 kg\n Factor of Safety: 0.72\n Max Deflection: 6.72e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.90721000780647, + "fos_buckling": 0.7160046014150434, + "fos_yielding": 1.8982066068477523, + "deflection": 0.0067179541473894495, + "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: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n\nPerformance:\n Mass: 185.09 kg\n Factor of Safety: 0.85\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.0850364693357, + "fos_buckling": 0.8482101872920625, + "fos_yielding": 1.897895240551446, + "deflection": 0.006540490754149502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002280)" + }, + "parent_node_id": "node_3099", + "improvement_over_parent": null + }, + "node_3101": { + "node_id": "node_3101", + "content": "MODIFICATION: Increase 14 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0043)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n\nPerformance:\n Mass: 188.67 kg\n Factor of Safety: 0.82\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.6681671121986, + "fos_buckling": 0.8189628007189557, + "fos_yielding": 1.897572143624112, + "deflection": 0.006525472386429069, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.279)" + }, + "parent_node_id": "node_3100", + "improvement_over_parent": null + }, + "node_3102": { + "node_id": "node_3102", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0057)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 242.00 kg\n Factor of Safety: 1.01\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.99728396062244, + "fos_buckling": 1.010485078889172, + "fos_yielding": 2.4297706328638133, + "deflection": 0.00509878927539486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_3101", + "improvement_over_parent": null + }, + "node_3103": { + "node_id": "node_3103", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0057)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 247.00 kg\n Factor of Safety: 0.95\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.00051056928876, + "fos_buckling": 0.9512576952895531, + "fos_yielding": 2.517170162083163, + "deflection": 0.004848866828340652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_3102", + "improvement_over_parent": null + }, + "node_3104": { + "node_id": "node_3104", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0057)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 260.75 kg\n Factor of Safety: 1.50\n Max Deflection: 3.93e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 260.74997903547614, + "fos_buckling": 1.5003684334188996, + "fos_yielding": 2.6535443742927383, + "deflection": 0.003926911990081873, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_3103", + "improvement_over_parent": null + }, + "node_3105": { + "node_id": "node_3105", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3104", + "improvement_over_parent": null + }, + "node_3106": { + "node_id": "node_3106", + "content": "INITIAL DESIGN (Trace 446)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 199.59 kg\n Factor of Safety: 0.67\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.58632329829578, + "fos_buckling": 0.6740695055398624, + "fos_yielding": 1.6943472907839614, + "deflection": 0.006445433848026814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3107": { + "node_id": "node_3107", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 206.23 kg\n Factor of Safety: 0.67\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.22892352711511, + "fos_buckling": 0.6733074508094561, + "fos_yielding": 1.6937039404751497, + "deflection": 0.006398564855849598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_3106", + "improvement_over_parent": null + }, + "node_3108": { + "node_id": "node_3108", + "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 209.35 kg\n Factor of Safety: 0.67\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.34897151119605, + "fos_buckling": 0.6731287309673234, + "fos_yielding": 2.430659346836655, + "deflection": 0.006060177501000676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.531)" + }, + "parent_node_id": "node_3107", + "improvement_over_parent": null + }, + "node_3109": { + "node_id": "node_3109", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 217.19 kg\n Factor of Safety: 0.67\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.18773452917551, + "fos_buckling": 0.6728296013298481, + "fos_yielding": 2.4288528110747407, + "deflection": 0.005598233838601924, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_3108", + "improvement_over_parent": null + }, + "node_3110": { + "node_id": "node_3110", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 236.28 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.27747830398297, + "fos_buckling": 0.6724657248045757, + "fos_yielding": 2.467499243417795, + "deflection": 0.005093150257884551, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5326043858751, + "fos_buckling": 1.5408401105162821, + "fos_yielding": 2.64936279514598, + "deflection": 0.003959898119950288, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_3110", + "improvement_over_parent": null + }, + "node_3112": { + "node_id": "node_3112", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3111", + "improvement_over_parent": null + }, + "node_3113": { + "node_id": "node_3113", + "content": "INITIAL DESIGN (Trace 447)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 150.15 kg\n Factor of Safety: 0.04\n Max Deflection: 6.86e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.1504535179383, + "fos_buckling": 0.04186753598010068, + "fos_yielding": 0.4939254564277433, + "deflection": 6857966482212.65, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3114": { + "node_id": "node_3114", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 164.07 kg\n Factor of Safety: 0.05\n Max Deflection: 1.00e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.07297473579726, + "fos_buckling": 0.05389626080755113, + "fos_yielding": 0.15745254948920648, + "deflection": 100269737412920.67, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003356)" + }, + "parent_node_id": "node_3113", + "improvement_over_parent": null + }, + "node_3115": { + "node_id": "node_3115", + "content": "MODIFICATION: Increase 10 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 165.05 kg\n Factor of Safety: 0.25\n Max Deflection: 2.35e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.04801495924576, + "fos_buckling": 0.24681585325632102, + "fos_yielding": 0.629810197956826, + "deflection": 23506595558792.426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.372)" + }, + "parent_node_id": "node_3114", + "improvement_over_parent": null + }, + "node_3116": { + "node_id": "node_3116", + "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 166.46 kg\n Factor of Safety: 0.01\n Max Deflection: 6.17e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.45999477200795, + "fos_buckling": 0.01046688399502517, + "fos_yielding": 0.12316029566579435, + "deflection": 61671635772812.28, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.406)" + }, + "parent_node_id": "node_3115", + "improvement_over_parent": null + }, + "node_3117": { + "node_id": "node_3117", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n Mass: 173.86 kg\n Factor of Safety: 0.84\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.86001137060296, + "fos_buckling": 0.8426240525384862, + "fos_yielding": 1.8847803344916023, + "deflection": 0.006449124195019891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003204)" + }, + "parent_node_id": "node_3116", + "improvement_over_parent": null + }, + "node_3118": { + "node_id": "node_3118", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n\nPerformance:\n Mass: 188.63 kg\n Factor of Safety: 0.77\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.628365842851, + "fos_buckling": 0.7655795135954175, + "fos_yielding": 1.9528160232948808, + "deflection": 0.006127886173635473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003456)" + }, + "parent_node_id": "node_3117", + "improvement_over_parent": null + }, + "node_3119": { + "node_id": "node_3119", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 243.79 kg\n Factor of Safety: 0.95\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.79224575127407, + "fos_buckling": 0.9510751674322689, + "fos_yielding": 2.5168485878010483, + "deflection": 0.004756076559652833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_3118", + "improvement_over_parent": null + }, + "node_3120": { + "node_id": "node_3120", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.54171421746145, + "fos_buckling": 1.540903884683948, + "fos_yielding": 2.6495537464720327, + "deflection": 0.003959678712379207, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_3119", + "improvement_over_parent": null + }, + "node_3121": { + "node_id": "node_3121", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3120", + "improvement_over_parent": null + }, + "node_3122": { + "node_id": "node_3122", + "content": "INITIAL DESIGN (Trace 448)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 150.91 kg\n Factor of Safety: 0.30\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": 150.9144407288277, + "fos_buckling": 0.29708617205251536, + "fos_yielding": 0.9046994682689712, + "deflection": 0.018201739140938398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3123": { + "node_id": "node_3123", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 190.26 kg\n Factor of Safety: 0.36\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": 190.2601684959921, + "fos_buckling": 0.36375736426721955, + "fos_yielding": 1.137592233805463, + "deflection": 0.014474720030482861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_3122", + "improvement_over_parent": null + }, + "node_3124": { + "node_id": "node_3124", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.83 kg\n Factor of Safety: 0.45\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": 247.83253109319804, + "fos_buckling": 0.4533808816678435, + "fos_yielding": 1.476176367130628, + "deflection": 0.011153864964216716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_3123", + "improvement_over_parent": null + }, + "node_3125": { + "node_id": "node_3125", + "content": "MODIFICATION: Increase 15 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.06 kg\n Factor of Safety: 0.45\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": 249.06194141448015, + "fos_buckling": 0.45333305500985016, + "fos_yielding": 1.4760211609566296, + "deflection": 0.01110945832140858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.253)" + }, + "parent_node_id": "node_3124", + "improvement_over_parent": null + }, + "node_3126": { + "node_id": "node_3126", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.70 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6988049421337, + "fos_buckling": 1.54166253148271, + "fos_yielding": 2.6511262622700267, + "deflection": 0.003957539689604637, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0012)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0025)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0013)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n Mass: 110.89 kg\n Factor of Safety: 0.67\n Max Deflection: 9.83e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 110.88729305243976, + "fos_buckling": 0.665335023783417, + "fos_yielding": 0.8744197780247354, + "deflection": 0.009833659136388428, + "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 all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 126.63 kg\n Factor of Safety: 0.75\n Max Deflection: 8.62e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.62843459437863, + "fos_buckling": 0.7522526878712913, + "fos_yielding": 0.9991846996048327, + "deflection": 0.008615200112375411, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_3128", + "improvement_over_parent": null + }, + "node_3130": { + "node_id": "node_3130", + "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 128.09 kg\n Factor of Safety: 0.77\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.0936302546663, + "fos_buckling": 0.7696253169232109, + "fos_yielding": 0.9931235282769071, + "deflection": 0.008538179825418836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.277)" + }, + "parent_node_id": "node_3129", + "improvement_over_parent": null + }, + "node_3131": { + "node_id": "node_3131", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 129.54 kg\n Factor of Safety: 0.81\n Max Deflection: 8.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.53618016179738, + "fos_buckling": 0.8110233093318541, + "fos_yielding": 1.1128553566277821, + "deflection": 0.008120780779995082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.395)" + }, + "parent_node_id": "node_3130", + "improvement_over_parent": null + }, + "node_3132": { + "node_id": "node_3132", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 162.77 kg\n Factor of Safety: 1.00\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.77361999566835, + "fos_buckling": 0.9975875130519936, + "fos_yielding": 1.400296981642306, + "deflection": 0.006471846548310734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_3131", + "improvement_over_parent": null + }, + "node_3133": { + "node_id": "node_3133", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 207.30 kg\n Factor of Safety: 1.23\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.29809384157545, + "fos_buckling": 1.2337762938482573, + "fos_yielding": 1.786995881267267, + "deflection": 0.005091386159848931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_3132", + "improvement_over_parent": null + }, + "node_3134": { + "node_id": "node_3134", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.47 kg\n Factor of Safety: 1.47\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.46728466330177, + "fos_buckling": 1.471637466276552, + "fos_yielding": 2.2078947657008015, + "deflection": 0.004139612462977025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_3133", + "improvement_over_parent": null + }, + "node_3135": { + "node_id": "node_3135", + "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 258.07 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.0730170657487, + "fos_buckling": 1.54348831949919, + "fos_yielding": 2.654850339641006, + "deflection": 0.003951737089995356, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.441)" + }, + "parent_node_id": "node_3134", + "improvement_over_parent": null + }, + "node_3136": { + "node_id": "node_3136", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3135", + "improvement_over_parent": null + }, + "node_3137": { + "node_id": "node_3137", + "content": "INITIAL DESIGN (Trace 450)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 178.22 kg\n Factor of Safety: 1.04\n Max Deflection: 3.69e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.22119983230112, + "fos_buckling": 1.0365113267006696, + "fos_yielding": 3.3441976586235094, + "deflection": 3693125648804.2397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3138": { + "node_id": "node_3138", + "content": "MODIFICATION: Increase 15 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 182.86 kg\n Factor of Safety: 0.02\n Max Deflection: 1.34e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.86288467638514, + "fos_buckling": 0.018927279856361577, + "fos_yielding": 0.08827163706584573, + "deflection": 133655286796746.16, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.493)" + }, + "parent_node_id": "node_3137", + "improvement_over_parent": null + }, + "node_3139": { + "node_id": "node_3139", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 184.25 kg\n Factor of Safety: 0.08\n Max Deflection: 4.14e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.25462624495185, + "fos_buckling": 0.07570911942544631, + "fos_yielding": 0.3530865482633829, + "deflection": 41376131133720.695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.264)" + }, + "parent_node_id": "node_3138", + "improvement_over_parent": null + }, + "node_3140": { + "node_id": "node_3140", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n Mass: 188.35 kg\n Factor of Safety: 0.50\n Max Deflection: 6.39e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.34727506841278, + "fos_buckling": 0.5008337065050856, + "fos_yielding": 2.088295075302148, + "deflection": 6387428937478.891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002460)" + }, + "parent_node_id": "node_3139", + "improvement_over_parent": null + }, + "node_3141": { + "node_id": "node_3141", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n Mass: 192.21 kg\n Factor of Safety: 0.57\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.2064259318036, + "fos_buckling": 0.5704766274354, + "fos_yielding": 2.0255881133483635, + "deflection": 0.006202710025002294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002389)" + }, + "parent_node_id": "node_3140", + "improvement_over_parent": null + }, + "node_3142": { + "node_id": "node_3142", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 234.94 kg\n Factor of Safety: 0.67\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.93791356858299, + "fos_buckling": 0.6724068246973995, + "fos_yielding": 2.4674384821426094, + "deflection": 0.005089340553533859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_3141", + "improvement_over_parent": null + }, + "node_3143": { + "node_id": "node_3143", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 256.19 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.19303965047516, + "fos_buckling": 1.5391454761418484, + "fos_yielding": 2.6557624739010945, + "deflection": 0.003953141359365264, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_3142", + "improvement_over_parent": null + }, + "node_3144": { + "node_id": "node_3144", + "content": "MODIFICATION: Increase 16 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0061)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 261.18 kg\n Factor of Safety: 1.54\n Max Deflection: 3.90e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 261.1784530008027, + "fos_buckling": 1.5379819199923597, + "fos_yielding": 2.658699895817892, + "deflection": 0.0039038511233638737, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.269)" + }, + "parent_node_id": "node_3143", + "improvement_over_parent": null + }, + "node_3145": { + "node_id": "node_3145", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3144", + "improvement_over_parent": null + }, + "node_3146": { + "node_id": "node_3146", + "content": "INITIAL DESIGN (Trace 451)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 158.86 kg\n Factor of Safety: 0.20\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": 158.86426531243637, + "fos_buckling": 0.201348274230887, + "fos_yielding": 1.0418483878516525, + "deflection": 0.01138393286189494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3147": { + "node_id": "node_3147", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 186.28 kg\n Factor of Safety: 0.23\n Max Deflection: 9.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.2823593217998, + "fos_buckling": 0.23097848599614176, + "fos_yielding": 1.2200329789840998, + "deflection": 0.009720408765320983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n\nPerformance:\n Mass: 213.04 kg\n Factor of Safety: 1.10\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.04376258365374, + "fos_buckling": 1.1046478129737978, + "fos_yielding": 2.221531918635538, + "deflection": 0.004765924261195545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004870)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 254.21 kg\n Factor of Safety: 1.29\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.2109440491601, + "fos_buckling": 1.2912630760632566, + "fos_yielding": 2.6453888140246136, + "deflection": 0.004003724878476286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_3148", + "improvement_over_parent": null + }, + "node_3150": { + "node_id": "node_3150", + "content": "MODIFICATION: Increase 12 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.27 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.27072980787875, + "fos_buckling": 1.5398619544711067, + "fos_yielding": 2.6466661833591183, + "deflection": 0.003963853341995248, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.435)" + }, + "parent_node_id": "node_3149", + "improvement_over_parent": null + }, + "node_3151": { + "node_id": "node_3151", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3150", + "improvement_over_parent": null + }, + "node_3152": { + "node_id": "node_3152", + "content": "INITIAL DESIGN (Trace 452)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 184.22 kg\n Factor of Safety: 0.67\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.21917935131094, + "fos_buckling": 0.6678831976024008, + "fos_yielding": 1.996781704730947, + "deflection": 0.005147621280852444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3153": { + "node_id": "node_3153", + "content": "MODIFICATION: Increase 19 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 190.17 kg\n Factor of Safety: 0.66\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.17403569335983, + "fos_buckling": 0.6588636595310499, + "fos_yielding": 1.9950696088645687, + "deflection": 0.004999822629085256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(19, thickness, 1.610)" + }, + "parent_node_id": "node_3152", + "improvement_over_parent": null + }, + "node_3154": { + "node_id": "node_3154", + "content": "MODIFICATION: Increase 14 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n Mass: 192.63 kg\n Factor of Safety: 0.58\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.63312451275345, + "fos_buckling": 0.5805585138154296, + "fos_yielding": 1.9809136815700956, + "deflection": 0.004928251046417549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.323)" + }, + "parent_node_id": "node_3153", + "improvement_over_parent": null + }, + "node_3155": { + "node_id": "node_3155", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n\nPerformance:\n Mass: 198.68 kg\n Factor of Safety: 1.24\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.67922223634935, + "fos_buckling": 1.240591653246462, + "fos_yielding": 2.0493366490947476, + "deflection": 0.005115491308071987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002449)" + }, + "parent_node_id": "node_3154", + "improvement_over_parent": null + }, + "node_3156": { + "node_id": "node_3156", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.50851849743464, + "fos_buckling": 1.5406770713165148, + "fos_yielding": 2.6490243688469834, + "deflection": 0.003960240215419598, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_3155", + "improvement_over_parent": null + }, + "node_3157": { + "node_id": "node_3157", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3156", + "improvement_over_parent": null + }, + "node_3158": { + "node_id": "node_3158", + "content": "INITIAL DESIGN (Trace 453)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 197.15 kg\n Factor of Safety: 1.10\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.1493342375376, + "fos_buckling": 1.1015499669263509, + "fos_yielding": 1.6748948542194118, + "deflection": 0.005207797911310258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3159": { + "node_id": "node_3159", + "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 197.78 kg\n Factor of Safety: 1.21\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.78355744611062, + "fos_buckling": 1.210942631791455, + "fos_yielding": 1.6877943127957173, + "deflection": 0.005191067845619792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.209)" + }, + "parent_node_id": "node_3158", + "improvement_over_parent": null + }, + "node_3160": { + "node_id": "node_3160", + "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 200.05 kg\n Factor of Safety: 1.25\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.0514801733952, + "fos_buckling": 1.2479817637700628, + "fos_yielding": 2.0634722381698514, + "deflection": 0.005080788258083687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.575)" + }, + "parent_node_id": "node_3159", + "improvement_over_parent": null + }, + "node_3161": { + "node_id": "node_3161", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.64 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6407520067114, + "fos_buckling": 1.541366219624704, + "fos_yielding": 2.6505070841759286, + "deflection": 0.003958225490294516, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_3160", + "improvement_over_parent": null + }, + "node_3162": { + "node_id": "node_3162", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3161", + "improvement_over_parent": null + }, + "node_3163": { + "node_id": "node_3163", + "content": "INITIAL DESIGN (Trace 454)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 221.73 kg\n Factor of Safety: 0.33\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.72873102373362, + "fos_buckling": 0.3332647613386298, + "fos_yielding": 2.4018566229765947, + "deflection": 0.005313881390946125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3164": { + "node_id": "node_3164", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 231.70 kg\n Factor of Safety: 0.67\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.70048442242927, + "fos_buckling": 0.6663915103967312, + "fos_yielding": 2.549293842724086, + "deflection": 0.004435770910976096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_3163", + "improvement_over_parent": null + }, + "node_3165": { + "node_id": "node_3165", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 249.69 kg\n Factor of Safety: 0.73\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.68984898908917, + "fos_buckling": 0.729050771415841, + "fos_yielding": 2.561814642636118, + "deflection": 0.003815721195720548, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)" + }, + "parent_node_id": "node_3164", + "improvement_over_parent": null + }, + "node_3166": { + "node_id": "node_3166", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5286120070686, + "fos_buckling": 1.5408300725259692, + "fos_yielding": 2.6493645373162065, + "deflection": 0.00395992223230533, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_3165", + "improvement_over_parent": null + }, + "node_3167": { + "node_id": "node_3167", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3166", + "improvement_over_parent": null + }, + "node_3168": { + "node_id": "node_3168", + "content": "INITIAL DESIGN (Trace 455)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 195.99 kg\n Factor of Safety: 0.66\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.989600813279, + "fos_buckling": 0.6564058544282035, + "fos_yielding": 2.119915434268598, + "deflection": 0.005813531766759531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3169": { + "node_id": "node_3169", + "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 199.29 kg\n Factor of Safety: 0.66\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.29422119997972, + "fos_buckling": 0.6564058544282035, + "fos_yielding": 2.119915434268598, + "deflection": 0.005813531766759531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.656)" + }, + "parent_node_id": "node_3168", + "improvement_over_parent": null + }, + "node_3170": { + "node_id": "node_3170", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n Mass: 203.10 kg\n Factor of Safety: 1.17\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.10383812176877, + "fos_buckling": 1.169953447950709, + "fos_yielding": 2.13595687655707, + "deflection": 0.004924008774043658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002356)" + }, + "parent_node_id": "node_3169", + "improvement_over_parent": null + }, + "node_3171": { + "node_id": "node_3171", + "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0042)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n Mass: 206.28 kg\n Factor of Safety: 1.16\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.27907858505614, + "fos_buckling": 1.1598309544380785, + "fos_yielding": 2.1470706864640245, + "deflection": 0.004870955724524425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.439)" + }, + "parent_node_id": "node_3170", + "improvement_over_parent": null + }, + "node_3172": { + "node_id": "node_3172", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0053)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 255.66 kg\n Factor of Safety: 1.40\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.65643831132488, + "fos_buckling": 1.3962343734040576, + "fos_yielding": 2.655118478738367, + "deflection": 0.003941920968865486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_3171", + "improvement_over_parent": null + }, + "node_3173": { + "node_id": "node_3173", + "content": "MODIFICATION: Increase 20 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0053)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0037)]\n\nPerformance:\n Mass: 256.62 kg\n Factor of Safety: 1.41\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.61683348053, + "fos_buckling": 1.4147293812829043, + "fos_yielding": 2.65533514595571, + "deflection": 0.003930089348596778, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.229)" + }, + "parent_node_id": "node_3172", + "improvement_over_parent": null + }, + "node_3174": { + "node_id": "node_3174", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3173", + "improvement_over_parent": null + }, + "node_3175": { + "node_id": "node_3175", + "content": "INITIAL DESIGN (Trace 456)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 176.51 kg\n Factor of Safety: 0.52\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.514355202236, + "fos_buckling": 0.5211915955476929, + "fos_yielding": 1.850696445382079, + "deflection": 0.006994458287948276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3176": { + "node_id": "node_3176", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 193.52 kg\n Factor of Safety: 0.98\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.52117246064583, + "fos_buckling": 0.9782961872221853, + "fos_yielding": 1.9744693156911624, + "deflection": 0.00550472921622927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003812)" + }, + "parent_node_id": "node_3175", + "improvement_over_parent": null + }, + "node_3177": { + "node_id": "node_3177", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n\nPerformance:\n Mass: 204.99 kg\n Factor of Safety: 1.26\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.99013150807266, + "fos_buckling": 1.2620536732364216, + "fos_yielding": 2.1615583645975245, + "deflection": 0.004917521586587356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002642)" + }, + "parent_node_id": "node_3176", + "improvement_over_parent": null + }, + "node_3178": { + "node_id": "node_3178", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n Mass: 252.67 kg\n Factor of Safety: 1.50\n Max Deflection: 4.00e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 252.6713842853725, + "fos_buckling": 1.5018642327835554, + "fos_yielding": 2.6575712061341394, + "deflection": 0.004000970340263654, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_3177", + "improvement_over_parent": null + }, + "node_3179": { + "node_id": "node_3179", + "content": "MODIFICATION: Increase 14 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0053)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n Mass: 257.21 kg\n Factor of Safety: 1.50\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.20633670224134, + "fos_buckling": 1.5049781724882776, + "fos_yielding": 2.6389448241901743, + "deflection": 0.003956969918505073, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.377)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 457)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 187.19 kg\n Factor of Safety: 0.44\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.18911744309122, + "fos_buckling": 0.4372507125368879, + "fos_yielding": 1.33637343794041, + "deflection": 0.006201683195414179, + "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: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 195.53 kg\n Factor of Safety: 0.46\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.52836874410636, + "fos_buckling": 0.4608408926740482, + "fos_yielding": 1.3415776112046962, + "deflection": 0.006025569021638041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.495)" + }, + "parent_node_id": "node_3181", + "improvement_over_parent": null + }, + "node_3183": { + "node_id": "node_3183", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n Mass: 203.80 kg\n Factor of Safety: 1.12\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.79532148314505, + "fos_buckling": 1.119764302647321, + "fos_yielding": 1.4403309363503214, + "deflection": 0.005298125740806853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002985)" + }, + "parent_node_id": "node_3182", + "improvement_over_parent": null + }, + "node_3184": { + "node_id": "node_3184", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 246.07 kg\n Factor of Safety: 1.32\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.07304451341423, + "fos_buckling": 1.3234265950562536, + "fos_yielding": 1.7454827869334617, + "deflection": 0.004393349476568818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_3183", + "improvement_over_parent": null + }, + "node_3185": { + "node_id": "node_3185", + "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 248.42 kg\n Factor of Safety: 1.34\n Max Deflection: 4.33e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.42224119839716, + "fos_buckling": 1.3443954177280082, + "fos_yielding": 1.7500971790261657, + "deflection": 0.004325127196142668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.429)" + }, + "parent_node_id": "node_3184", + "improvement_over_parent": null + }, + "node_3186": { + "node_id": "node_3186", + "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 252.08 kg\n Factor of Safety: 1.35\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.0815415019523, + "fos_buckling": 1.3501477674239455, + "fos_yielding": 2.6571274506670517, + "deflection": 0.004022057910423295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.600)" + }, + "parent_node_id": "node_3185", + "improvement_over_parent": null + }, + "node_3187": { + "node_id": "node_3187", + "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 255.10 kg\n Factor of Safety: 1.35\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.10233227463056, + "fos_buckling": 1.3508929332634245, + "fos_yielding": 2.6512071792017213, + "deflection": 0.0039892458707036635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.393)" + }, + "parent_node_id": "node_3186", + "improvement_over_parent": null + }, + "node_3188": { + "node_id": "node_3188", + "content": "MODIFICATION: Increase 12 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0079)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 264.56 kg\n Factor of Safety: 1.35\n Max Deflection: 3.90e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.5606284049266, + "fos_buckling": 1.3492369549931802, + "fos_yielding": 2.6608028788453195, + "deflection": 0.00390118528142069, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.337)" + }, + "parent_node_id": "node_3187", + "improvement_over_parent": null + }, + "node_3189": { + "node_id": "node_3189", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3188", + "improvement_over_parent": null + }, + "node_3190": { + "node_id": "node_3190", + "content": "INITIAL DESIGN (Trace 458)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 165.04 kg\n Factor of Safety: 0.65\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.0398260658214, + "fos_buckling": 0.654522117988433, + "fos_yielding": 1.8324595579261094, + "deflection": 0.006944451646210205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3191": { + "node_id": "node_3191", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 175.01 kg\n Factor of Safety: 0.89\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.00726177833653, + "fos_buckling": 0.8858414572266491, + "fos_yielding": 1.9223618987590045, + "deflection": 0.005746511298491722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002736)" + }, + "parent_node_id": "node_3190", + "improvement_over_parent": null + }, + "node_3192": { + "node_id": "node_3192", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 196.72 kg\n Factor of Safety: 0.99\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.71705383659784, + "fos_buckling": 0.9858922485300878, + "fos_yielding": 2.1579155348356354, + "deflection": 0.005118053624552573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_3191", + "improvement_over_parent": null + }, + "node_3193": { + "node_id": "node_3193", + "content": "MODIFICATION: Increase 17 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0047)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 204.40 kg\n Factor of Safety: 1.07\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.40422656847124, + "fos_buckling": 1.0706495090306016, + "fos_yielding": 2.1667813244603593, + "deflection": 0.004932981243768208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.645)" + }, + "parent_node_id": "node_3192", + "improvement_over_parent": null + }, + "node_3194": { + "node_id": "node_3194", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 250.97 kg\n Factor of Safety: 1.29\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.96913238733316, + "fos_buckling": 1.2903211474957546, + "fos_yielding": 2.6543997571801308, + "deflection": 0.004028191006116284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_3193", + "improvement_over_parent": null + }, + "node_3195": { + "node_id": "node_3195", + "content": "MODIFICATION: Increase 18 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0059)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 256.22 kg\n Factor of Safety: 1.29\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.2183338084252, + "fos_buckling": 1.2909165970299246, + "fos_yielding": 2.6553867565060543, + "deflection": 0.003989982441542212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.332)" + }, + "parent_node_id": "node_3194", + "improvement_over_parent": null + }, + "node_3196": { + "node_id": "node_3196", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0059)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.87 kg\n Factor of Safety: 1.44\n Max Deflection: 3.96e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.8710604403028, + "fos_buckling": 1.4398260017803401, + "fos_yielding": 2.6504280891129475, + "deflection": 0.003962489523617673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.541)" + }, + "parent_node_id": "node_3195", + "improvement_over_parent": null + }, + "node_3197": { + "node_id": "node_3197", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0059)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 260.46 kg\n Factor of Safety: 1.45\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.4612121697074, + "fos_buckling": 1.4518305556655986, + "fos_yielding": 2.663193295346286, + "deflection": 0.0039293997770285865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.385)" + }, + "parent_node_id": "node_3196", + "improvement_over_parent": null + }, + "node_3198": { + "node_id": "node_3198", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3197", + "improvement_over_parent": null + }, + "node_3199": { + "node_id": "node_3199", + "content": "INITIAL DESIGN (Trace 459)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 164.47 kg\n Factor of Safety: 0.05\n Max Deflection: 3.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.4657950832568, + "fos_buckling": 0.04638983299993701, + "fos_yielding": 0.5929806040092948, + "deflection": 0.030389654152264935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3200": { + "node_id": "node_3200", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n Mass: 170.85 kg\n Factor of Safety: 0.20\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": 170.84899728353554, + "fos_buckling": 0.1982019247058924, + "fos_yielding": 0.7518569730852017, + "deflection": 0.017757348574342906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002596)" + }, + "parent_node_id": "node_3199", + "improvement_over_parent": null + }, + "node_3201": { + "node_id": "node_3201", + "content": "MODIFICATION: Increase 18 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n\nPerformance:\n Mass: 172.50 kg\n Factor of Safety: 0.23\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": 172.4956192306919, + "fos_buckling": 0.23229675177437606, + "fos_yielding": 0.751739307478242, + "deflection": 0.017562474013266636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.284)" + }, + "parent_node_id": "node_3200", + "improvement_over_parent": null + }, + "node_3202": { + "node_id": "node_3202", + "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n\nPerformance:\n Mass: 173.99 kg\n Factor of Safety: 0.23\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": 173.99127982504677, + "fos_buckling": 0.2322756097813929, + "fos_yielding": 1.1874283342566712, + "deflection": 0.017132532129696797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.623)" + }, + "parent_node_id": "node_3201", + "improvement_over_parent": null + }, + "node_3203": { + "node_id": "node_3203", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n Mass: 181.02 kg\n Factor of Safety: 0.26\n Max Deflection: 9.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.02314919042846, + "fos_buckling": 0.2637060580801864, + "fos_yielding": 1.1870316977763817, + "deflection": 0.009595976074951709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003216)" + }, + "parent_node_id": "node_3202", + "improvement_over_parent": null + }, + "node_3204": { + "node_id": "node_3204", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0042)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 222.27 kg\n Factor of Safety: 0.31\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.2701611204399, + "fos_buckling": 0.30876475662014474, + "fos_yielding": 1.4546293975221218, + "deflection": 0.007837333784866745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_3203", + "improvement_over_parent": null + }, + "node_3205": { + "node_id": "node_3205", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0042)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 254.22 kg\n Factor of Safety: 1.39\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.2201034941774, + "fos_buckling": 1.3931972072018366, + "fos_yielding": 2.657362858703626, + "deflection": 0.004043539428998639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)" + }, + "parent_node_id": "node_3204", + "improvement_over_parent": null + }, + "node_3206": { + "node_id": "node_3206", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0042)]\n M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 255.06 kg\n Factor of Safety: 1.37\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.06328527540114, + "fos_buckling": 1.372584287851146, + "fos_yielding": 2.6569068408520407, + "deflection": 0.004027714278381186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.196)" + }, + "parent_node_id": "node_3205", + "improvement_over_parent": null + }, + "node_3207": { + "node_id": "node_3207", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3206", + "improvement_over_parent": null + }, + "node_3208": { + "node_id": "node_3208", + "content": "INITIAL DESIGN (Trace 460)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 157.80 kg\n Factor of Safety: 0.20\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": 157.80428758667497, + "fos_buckling": 0.19759165384400834, + "fos_yielding": 1.0206654343363202, + "deflection": 0.011596156592762391, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3209": { + "node_id": "node_3209", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 192.71 kg\n Factor of Safety: 0.23\n Max Deflection: 9.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.71352976085956, + "fos_buckling": 0.2347828623459835, + "fos_yielding": 1.2445679233208993, + "deflection": 0.009509091561615479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_3208", + "improvement_over_parent": null + }, + "node_3210": { + "node_id": "node_3210", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n\nPerformance:\n Mass: 219.99 kg\n Factor of Safety: 1.35\n Max Deflection: 4.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.99322042765934, + "fos_buckling": 1.352415546097871, + "fos_yielding": 2.267210441791852, + "deflection": 0.004625483972727235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004972)" + }, + "parent_node_id": "node_3209", + "improvement_over_parent": null + }, + "node_3211": { + "node_id": "node_3211", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 257.64 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6434451539871, + "fos_buckling": 1.5408812615850955, + "fos_yielding": 2.6506642484005227, + "deflection": 0.00395812806373854, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_3210", + "improvement_over_parent": null + }, + "node_3212": { + "node_id": "node_3212", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3211", + "improvement_over_parent": null + }, + "node_3213": { + "node_id": "node_3213", + "content": "INITIAL DESIGN (Trace 461)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 215.07 kg\n Factor of Safety: 1.09\n Max Deflection: 4.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.07069195877014, + "fos_buckling": 1.0908084286699666, + "fos_yielding": 2.3029661802850176, + "deflection": 0.0047052944972887575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3214": { + "node_id": "node_3214", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 248.64 kg\n Factor of Safety: 1.24\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.64113954803761, + "fos_buckling": 1.2415314996827018, + "fos_yielding": 2.65717911208356, + "deflection": 0.0040780472082961134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_3213", + "improvement_over_parent": null + }, + "node_3215": { + "node_id": "node_3215", + "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 250.73 kg\n Factor of Safety: 1.24\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.72998210020543, + "fos_buckling": 1.2412184041989993, + "fos_yielding": 2.653403202245392, + "deflection": 0.004057191806564852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.245)" + }, + "parent_node_id": "node_3214", + "improvement_over_parent": null + }, + "node_3216": { + "node_id": "node_3216", + "content": "MODIFICATION: Increase 20 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.65 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.650681662968, + "fos_buckling": 1.5413858283252142, + "fos_yielding": 2.6505351368964125, + "deflection": 0.003958100480033053, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.529)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0009)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0013)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 123.93 kg\n Factor of Safety: 0.51\n Max Deflection: 9.58e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.93204763714225, + "fos_buckling": 0.5144032131460196, + "fos_yielding": 1.157037189900662, + "deflection": 0.009583316476259401, + "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 9 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0009)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n Mass: 125.28 kg\n Factor of Safety: 0.51\n Max Deflection: 9.42e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.284718404862, + "fos_buckling": 0.5143233716872234, + "fos_yielding": 1.178451808238161, + "deflection": 0.009420723468492357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.383)" + }, + "parent_node_id": "node_3218", + "improvement_over_parent": null + }, + "node_3220": { + "node_id": "node_3220", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0011)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 158.51 kg\n Factor of Safety: 0.63\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.50919554275353, + "fos_buckling": 0.6345384593451616, + "fos_yielding": 1.4932288400190201, + "deflection": 0.007457960088866572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_3219", + "improvement_over_parent": null + }, + "node_3221": { + "node_id": "node_3221", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 198.69 kg\n Factor of Safety: 0.77\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.68936646547598, + "fos_buckling": 0.771009131772846, + "fos_yielding": 1.875582539827814, + "deflection": 0.0059610926406217825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_3220", + "improvement_over_parent": null + }, + "node_3222": { + "node_id": "node_3222", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 247.99 kg\n Factor of Safety: 0.93\n Max Deflection: 4.79e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.9851747247509, + "fos_buckling": 0.9252491945640097, + "fos_yielding": 2.3476608229366924, + "deflection": 0.0047870737106962815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_3221", + "improvement_over_parent": null + }, + "node_3223": { + "node_id": "node_3223", + "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.66 kg\n Factor of Safety: 0.92\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.66353921957875, + "fos_buckling": 0.924897294773861, + "fos_yielding": 2.633083550530775, + "deflection": 0.004618796212200894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.460)" + }, + "parent_node_id": "node_3222", + "improvement_over_parent": null + }, + "node_3224": { + "node_id": "node_3224", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 255.38 kg\n Factor of Safety: 1.23\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.38035846894033, + "fos_buckling": 1.2254878302143561, + "fos_yielding": 2.652645760979893, + "deflection": 0.003996853215686134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_3223", + "improvement_over_parent": null + }, + "node_3225": { + "node_id": "node_3225", + "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.25 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.25427331143214, + "fos_buckling": 1.5394118033162565, + "fos_yielding": 2.6465048321343256, + "deflection": 0.003963925868829477, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.658)" + }, + "parent_node_id": "node_3224", + "improvement_over_parent": null + }, + "node_3226": { + "node_id": "node_3226", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3225", + "improvement_over_parent": null + }, + "node_3227": { + "node_id": "node_3227", + "content": "INITIAL DESIGN (Trace 463)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0014)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 126.27 kg\n Factor of Safety: 0.03\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": 126.27198384179523, + "fos_buckling": 0.030553082235769663, + "fos_yielding": 0.3749422514383203, + "deflection": 0.028770490776599315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3228": { + "node_id": "node_3228", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 127.99 kg\n Factor of Safety: 0.03\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": 127.99255916344758, + "fos_buckling": 0.030550578581498847, + "fos_yielding": 0.3749115270170694, + "deflection": 0.028065737973019953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.555)" + }, + "parent_node_id": "node_3227", + "improvement_over_parent": null + }, + "node_3229": { + "node_id": "node_3229", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n\nPerformance:\n Mass: 140.06 kg\n Factor of Safety: 0.03\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": 140.0585718026548, + "fos_buckling": 0.03053303253181055, + "fos_yielding": 0.37469620486648536, + "deflection": 0.028153253379245614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002647)" + }, + "parent_node_id": "node_3228", + "improvement_over_parent": null + }, + "node_3230": { + "node_id": "node_3230", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n Mass: 178.01 kg\n Factor of Safety: 0.04\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": 178.01346162935067, + "fos_buckling": 0.037731188216210534, + "fos_yielding": 0.4754577480774295, + "deflection": 0.022196353816869272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_3229", + "improvement_over_parent": null + }, + "node_3231": { + "node_id": "node_3231", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 213.67 kg\n Factor of Safety: 0.04\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": 213.67169568186384, + "fos_buckling": 0.04407956273868461, + "fos_yielding": 0.5698225394901827, + "deflection": 0.018527967430951836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_3230", + "improvement_over_parent": null + }, + "node_3232": { + "node_id": "node_3232", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n Mass: 217.81 kg\n Factor of Safety: 0.04\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.81250439302997, + "fos_buckling": 0.04407667610568936, + "fos_yielding": 0.5697852235904384, + "deflection": 0.018189331025594307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002578)" + }, + "parent_node_id": "node_3231", + "improvement_over_parent": null + }, + "node_3233": { + "node_id": "node_3233", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 248.14 kg\n Factor of Safety: 0.05\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.14185025429214, + "fos_buckling": 0.049067151593680094, + "fos_yielding": 0.6482896560617055, + "deflection": 0.015991967226609605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_3232", + "improvement_over_parent": null + }, + "node_3234": { + "node_id": "node_3234", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.70 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.704991233512, + "fos_buckling": 1.5417111623236937, + "fos_yielding": 2.651113906393117, + "deflection": 0.003957331155883825, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_3233", + "improvement_over_parent": null + }, + "node_3235": { + "node_id": "node_3235", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3234", + "improvement_over_parent": null + }, + "node_3236": { + "node_id": "node_3236", + "content": "INITIAL DESIGN (Trace 464)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 206.32 kg\n Factor of Safety: 0.62\n Max Deflection: 4.61e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.31629269429604, + "fos_buckling": 0.6178983989879717, + "fos_yielding": 2.1302039705934668, + "deflection": 0.004608814772844238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3237": { + "node_id": "node_3237", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 248.42 kg\n Factor of Safety: 0.73\n Max Deflection: 3.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.41706852003233, + "fos_buckling": 0.7264738778705727, + "fos_yielding": 2.560313616149222, + "deflection": 0.0038377726720528254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_3236", + "improvement_over_parent": null + }, + "node_3238": { + "node_id": "node_3238", + "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 249.58 kg\n Factor of Safety: 0.73\n Max Deflection: 3.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.58493834064623, + "fos_buckling": 0.7287929337745175, + "fos_yielding": 2.5607020833145335, + "deflection": 0.003817313976915599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.361)" + }, + "parent_node_id": "node_3237", + "improvement_over_parent": null + }, + "node_3239": { + "node_id": "node_3239", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.42 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4237013586257, + "fos_buckling": 1.5403018332617087, + "fos_yielding": 2.6482314385547308, + "deflection": 0.00396160160209516, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_3238", + "improvement_over_parent": null + }, + "node_3240": { + "node_id": "node_3240", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3239", + "improvement_over_parent": null + }, + "node_3241": { + "node_id": "node_3241", + "content": "INITIAL DESIGN (Trace 465)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 175.11 kg\n Factor of Safety: 0.98\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.1128832760665, + "fos_buckling": 0.9767834995425881, + "fos_yielding": 1.8460268151034762, + "deflection": 0.005756414538782385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3242": { + "node_id": "node_3242", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 204.89 kg\n Factor of Safety: 1.12\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.88789665676384, + "fos_buckling": 1.1191324783718768, + "fos_yielding": 2.1569677534643663, + "deflection": 0.004928282531004084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_3241", + "improvement_over_parent": null + }, + "node_3243": { + "node_id": "node_3243", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 250.61 kg\n Factor of Safety: 1.32\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.6081107772826, + "fos_buckling": 1.324337089644726, + "fos_yielding": 2.6327774867416807, + "deflection": 0.004039738738212176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_3242", + "improvement_over_parent": null + }, + "node_3244": { + "node_id": "node_3244", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.25 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.25071100610194, + "fos_buckling": 1.5394349650287098, + "fos_yielding": 2.646455493062833, + "deflection": 0.003964216270240123, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_3243", + "improvement_over_parent": null + }, + "node_3245": { + "node_id": "node_3245", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3244", + "improvement_over_parent": null + }, + "node_3246": { + "node_id": "node_3246", + "content": "INITIAL DESIGN (Trace 466)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 202.11 kg\n Factor of Safety: 0.75\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.11478937262535, + "fos_buckling": 0.7505672517643021, + "fos_yielding": 1.8990951470623154, + "deflection": 0.005487471666725911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3247": { + "node_id": "node_3247", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 228.32 kg\n Factor of Safety: 0.84\n Max Deflection: 4.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.32157690965252, + "fos_buckling": 0.8385209872973081, + "fos_yielding": 2.150716797083667, + "deflection": 0.004862104181817681, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_3246", + "improvement_over_parent": null + }, + "node_3248": { + "node_id": "node_3248", + "content": "MODIFICATION: Increase 13 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 238.50 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.50164577703617, + "fos_buckling": 1.1633198903073072, + "fos_yielding": 2.4288013434560107, + "deflection": 0.004478502731182116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.513)" + }, + "parent_node_id": "node_3247", + "improvement_over_parent": null + }, + "node_3249": { + "node_id": "node_3249", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.59138955184363, + "fos_buckling": 1.5406770514015933, + "fos_yielding": 2.650182895414772, + "deflection": 0.003958880173536083, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_3248", + "improvement_over_parent": null + }, + "node_3250": { + "node_id": "node_3250", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3249", + "improvement_over_parent": null + }, + "node_3251": { + "node_id": "node_3251", + "content": "INITIAL DESIGN (Trace 467)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 175.29 kg\n Factor of Safety: 0.02\n Max Deflection: 2.07e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.28555996611541, + "fos_buckling": 0.022670017318356044, + "fos_yielding": 0.2507380381077997, + "deflection": 20711798672169.11, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3252": { + "node_id": "node_3252", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n Mass: 183.41 kg\n Factor of Safety: 0.80\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.4059970173391, + "fos_buckling": 0.7971346270120067, + "fos_yielding": 1.5322530322330896, + "deflection": 0.007371364321603625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003541)" + }, + "parent_node_id": "node_3251", + "improvement_over_parent": null + }, + "node_3253": { + "node_id": "node_3253", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 198.72 kg\n Factor of Safety: 0.75\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.72207472572387, + "fos_buckling": 0.7522819509221673, + "fos_yielding": 2.065574174214568, + "deflection": 0.006697608643471741, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003713)" + }, + "parent_node_id": "node_3252", + "improvement_over_parent": null + }, + "node_3254": { + "node_id": "node_3254", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 234.00 kg\n Factor of Safety: 0.86\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.0025691227819, + "fos_buckling": 0.8614635002428803, + "fos_yielding": 2.428664448110151, + "deflection": 0.005699576024046645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 247.75 kg\n Factor of Safety: 0.93\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.7520375889693, + "fos_buckling": 0.925621467215925, + "fos_yielding": 2.4260284513601174, + "deflection": 0.005114206865635472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_3254", + "improvement_over_parent": null + }, + "node_3256": { + "node_id": "node_3256", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 252.76 kg\n Factor of Safety: 0.93\n Max Deflection: 4.58e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.75526419763563, + "fos_buckling": 0.9254899526228295, + "fos_yielding": 2.6291995818807594, + "deflection": 0.004581498107202116, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_3255", + "improvement_over_parent": null + }, + "node_3257": { + "node_id": "node_3257", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 257.47 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4720834469972, + "fos_buckling": 1.5405416614644762, + "fos_yielding": 2.648731370858007, + "deflection": 0.003960766338586736, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 176.16 kg\n Factor of Safety: 0.72\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.15808171134603, + "fos_buckling": 0.7192530889047815, + "fos_yielding": 1.5957579849558545, + "deflection": 0.007167737352988833, + "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 1 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 179.15 kg\n Factor of Safety: 0.72\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.14780143274498, + "fos_buckling": 0.7193340806669056, + "fos_yielding": 1.7004052426670906, + "deflection": 0.006973857085175487, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.587)" + }, + "parent_node_id": "node_3259", + "improvement_over_parent": null + }, + "node_3261": { + "node_id": "node_3261", + "content": "MODIFICATION: Increase 16 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 182.39 kg\n Factor of Safety: 0.69\n Max Deflection: 6.92e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.3870649537078, + "fos_buckling": 0.6874332039881325, + "fos_yielding": 1.7366742575026473, + "deflection": 0.0069225349608677935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.302)" + }, + "parent_node_id": "node_3260", + "improvement_over_parent": null + }, + "node_3262": { + "node_id": "node_3262", + "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 184.99 kg\n Factor of Safety: 0.73\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.99037270865853, + "fos_buckling": 0.7304973566728227, + "fos_yielding": 2.0675808684567154, + "deflection": 0.006629298850949593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.580)" + }, + "parent_node_id": "node_3261", + "improvement_over_parent": null + }, + "node_3263": { + "node_id": "node_3263", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n Mass: 199.73 kg\n Factor of Safety: 0.80\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.72941613742742, + "fos_buckling": 0.8042805125703362, + "fos_yielding": 2.066706918242042, + "deflection": 0.005791089178040574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003568)" + }, + "parent_node_id": "node_3262", + "improvement_over_parent": null + }, + "node_3264": { + "node_id": "node_3264", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 210.99 kg\n Factor of Safety: 1.31\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.99270180980335, + "fos_buckling": 1.3059925246633972, + "fos_yielding": 2.174958557687314, + "deflection": 0.004820536816459399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003119)" + }, + "parent_node_id": "node_3263", + "improvement_over_parent": null + }, + "node_3265": { + "node_id": "node_3265", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.49 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4926770517606, + "fos_buckling": 1.5406764467171836, + "fos_yielding": 2.6486669888592207, + "deflection": 0.003960607187725617, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_3264", + "improvement_over_parent": null + }, + "node_3266": { + "node_id": "node_3266", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3265", + "improvement_over_parent": null + }, + "node_3267": { + "node_id": "node_3267", + "content": "INITIAL DESIGN (Trace 469)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 244.84 kg\n Factor of Safety: 1.29\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.8446578469955, + "fos_buckling": 1.2929081682577672, + "fos_yielding": 2.6614908468740697, + "deflection": 0.004098639635568644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3268": { + "node_id": "node_3268", + "content": "MODIFICATION: Increase 17 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 249.25 kg\n Factor of Safety: 1.27\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.25462164145208, + "fos_buckling": 1.274221625277013, + "fos_yielding": 2.6554753714659785, + "deflection": 0.004066913513424051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.355)" + }, + "parent_node_id": "node_3267", + "improvement_over_parent": null + }, + "node_3269": { + "node_id": "node_3269", + "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 251.25 kg\n Factor of Safety: 1.27\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.25148616170267, + "fos_buckling": 1.2739167258684045, + "fos_yielding": 2.651895145527351, + "deflection": 0.004047112524606261, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.232)" + }, + "parent_node_id": "node_3268", + "improvement_over_parent": null + }, + "node_3270": { + "node_id": "node_3270", + "content": "MODIFICATION: Increase 20 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5297074950311, + "fos_buckling": 1.5408520781029933, + "fos_yielding": 2.6493623073616233, + "deflection": 0.003959917165362804, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(20, thickness, 1.460)" + }, + "parent_node_id": "node_3269", + "improvement_over_parent": null + }, + "node_3271": { + "node_id": "node_3271", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3270", + "improvement_over_parent": null + }, + "node_3272": { + "node_id": "node_3272", + "content": "INITIAL DESIGN (Trace 470)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 192.48 kg\n Factor of Safety: 0.06\n Max Deflection: 3.00e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.4805404956931, + "fos_buckling": 0.06380948990770853, + "fos_yielding": 0.4387915666886495, + "deflection": 29953747060676.418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3273": { + "node_id": "node_3273", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n Mass: 220.36 kg\n Factor of Safety: 1.04\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.35765745246255, + "fos_buckling": 1.0392823252029677, + "fos_yielding": 2.1203234610734087, + "deflection": 0.005127088928455417, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005090)" + }, + "parent_node_id": "node_3272", + "improvement_over_parent": null + }, + "node_3274": { + "node_id": "node_3274", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 252.45 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.45049243740442, + "fos_buckling": 1.1623392378638662, + "fos_yielding": 2.4257196720685075, + "deflection": 0.004483635571159659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_3273", + "improvement_over_parent": null + }, + "node_3275": { + "node_id": "node_3275", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 257.45 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4537190460708, + "fos_buckling": 1.540347651737843, + "fos_yielding": 2.6485995088467, + "deflection": 0.0039610533837813365, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_3274", + "improvement_over_parent": null + }, + "node_3276": { + "node_id": "node_3276", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3275", + "improvement_over_parent": null + }, + "node_3277": { + "node_id": "node_3277", + "content": "INITIAL DESIGN (Trace 471)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 173.91 kg\n Factor of Safety: 1.07\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.91099609998744, + "fos_buckling": 1.066157360822811, + "fos_yielding": 1.8579974030723114, + "deflection": 0.005718130476944556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3278": { + "node_id": "node_3278", + "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 174.92 kg\n Factor of Safety: 1.05\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.92031837214728, + "fos_buckling": 1.049970549485906, + "fos_yielding": 1.8550058508197396, + "deflection": 0.00568866630919941, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.431)" + }, + "parent_node_id": "node_3277", + "improvement_over_parent": null + }, + "node_3279": { + "node_id": "node_3279", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 214.65 kg\n Factor of Safety: 1.26\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.64676286834262, + "fos_buckling": 1.2614165827892825, + "fos_yielding": 2.2714643827924603, + "deflection": 0.00464764551259344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_3278", + "improvement_over_parent": null + }, + "node_3280": { + "node_id": "node_3280", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 216.19 kg\n Factor of Safety: 1.23\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.1944707451656, + "fos_buckling": 1.2309643656870035, + "fos_yielding": 2.2780057294242555, + "deflection": 0.00466306292790047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.323)" + }, + "parent_node_id": "node_3279", + "improvement_over_parent": null + }, + "node_3281": { + "node_id": "node_3281", + "content": "MODIFICATION: Increase 11 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 218.28 kg\n Factor of Safety: 1.23\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.279542044178, + "fos_buckling": 1.2324316500961847, + "fos_yielding": 2.2802667948053075, + "deflection": 0.004645900020050749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.623)" + }, + "parent_node_id": "node_3280", + "improvement_over_parent": null + }, + "node_3282": { + "node_id": "node_3282", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 254.48 kg\n Factor of Safety: 1.41\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.48109626000567, + "fos_buckling": 1.4100899079671603, + "fos_yielding": 2.6535789872105253, + "deflection": 0.003993494372166357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_3281", + "improvement_over_parent": null + }, + "node_3283": { + "node_id": "node_3283", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.40 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4022900876185, + "fos_buckling": 1.5402256278757094, + "fos_yielding": 2.647910482013088, + "deflection": 0.0039620358488333665, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.376)" + }, + "parent_node_id": "node_3282", + "improvement_over_parent": null + }, + "node_3284": { + "node_id": "node_3284", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3283", + "improvement_over_parent": null + }, + "node_3285": { + "node_id": "node_3285", + "content": "INITIAL DESIGN (Trace 472)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 227.56 kg\n Factor of Safety: 0.05\n Max Deflection: 2.98e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.55850083343287, + "fos_buckling": 0.04907876427396004, + "fos_yielding": 0.6483617816019939, + "deflection": 0.029775828797197264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3286": { + "node_id": "node_3286", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 232.56 kg\n Factor of Safety: 0.05\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": 232.5617274420992, + "fos_buckling": 0.04906712242496359, + "fos_yielding": 0.6482079853508425, + "deflection": 0.02773753425128386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_3285", + "improvement_over_parent": null + }, + "node_3287": { + "node_id": "node_3287", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 242.12 kg\n Factor of Safety: 0.45\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": 242.124868421319, + "fos_buckling": 0.4532128430409912, + "fos_yielding": 1.4092593173590684, + "deflection": 0.01145346369573118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)" + }, + "parent_node_id": "node_3286", + "improvement_over_parent": null + }, + "node_3288": { + "node_id": "node_3288", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 250.76 kg\n Factor of Safety: 1.22\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.76173194897257, + "fos_buckling": 1.2219590560621296, + "fos_yielding": 2.652138335668478, + "deflection": 0.004033176998089946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_3287", + "improvement_over_parent": null + }, + "node_3289": { + "node_id": "node_3289", + "content": "MODIFICATION: Increase 12 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0060)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 257.12 kg\n Factor of Safety: 1.22\n Max Deflection: 3.97e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.12461031492614, + "fos_buckling": 1.223790584274958, + "fos_yielding": 2.627608636117295, + "deflection": 0.00397497141221264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.538)" + }, + "parent_node_id": "node_3288", + "improvement_over_parent": null + }, + "node_3290": { + "node_id": "node_3290", + "content": "MODIFICATION: Increase 17 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0060)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0060)]\n M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 261.61 kg\n Factor of Safety: 1.29\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.61382097262765, + "fos_buckling": 1.2904345784896696, + "fos_yielding": 2.626367103966838, + "deflection": 0.003930154379071561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.238)" + }, + "parent_node_id": "node_3289", + "improvement_over_parent": null + }, + "node_3291": { + "node_id": "node_3291", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3290", + "improvement_over_parent": null + }, + "node_3292": { + "node_id": "node_3292", + "content": "INITIAL DESIGN (Trace 473)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 182.69 kg\n Factor of Safety: 1.04\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.6902316044762, + "fos_buckling": 1.041531950815649, + "fos_yielding": 1.9234134152418727, + "deflection": 0.0055590164713888645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3293": { + "node_id": "node_3293", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 217.55 kg\n Factor of Safety: 1.22\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.54630344319335, + "fos_buckling": 1.2181317457135137, + "fos_yielding": 2.286243595152661, + "deflection": 0.004677533631757747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_3292", + "improvement_over_parent": null + }, + "node_3294": { + "node_id": "node_3294", + "content": "MODIFICATION: Increase 15 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 220.22 kg\n Factor of Safety: 1.35\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.22265634623008, + "fos_buckling": 1.3540143143430796, + "fos_yielding": 2.2692526534166544, + "deflection": 0.004620831138579923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.318)" + }, + "parent_node_id": "node_3293", + "improvement_over_parent": null + }, + "node_3295": { + "node_id": "node_3295", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5129419594916, + "fos_buckling": 1.540694586834864, + "fos_yielding": 2.6489944818579048, + "deflection": 0.0039601928279499, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 474)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 233.19 kg\n Factor of Safety: 0.97\n Max Deflection: 2.21e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.1876117449145, + "fos_buckling": 0.9725722997849816, + "fos_yielding": 2.0153926334618433, + "deflection": 2208020118227.832, + "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 1 and 7\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 246.94 kg\n Factor of Safety: 1.18\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.93708021110191, + "fos_buckling": 1.1782666372755861, + "fos_yielding": 2.718101783052451, + "deflection": 0.003944555744443579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_3297", + "improvement_over_parent": null + }, + "node_3299": { + "node_id": "node_3299", + "content": "MODIFICATION: Increase 12 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 250.98 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.9802370831404, + "fos_buckling": 1.4357827217980974, + "fos_yielding": 2.7181017830524503, + "deflection": 0.003888044593670858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(12, thickness, 1.656)" + }, + "parent_node_id": "node_3298", + "improvement_over_parent": null + }, + "node_3300": { + "node_id": "node_3300", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53902527129003, + "fos_buckling": 1.5408254620665114, + "fos_yielding": 2.649373504751481, + "deflection": 0.003959798412946118, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_3299", + "improvement_over_parent": null + }, + "node_3301": { + "node_id": "node_3301", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3300", + "improvement_over_parent": null + }, + "node_3302": { + "node_id": "node_3302", + "content": "INITIAL DESIGN (Trace 475)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 178.65 kg\n Factor of Safety: 0.42\n Max Deflection: 7.99e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.6549738606987, + "fos_buckling": 0.42378256372898604, + "fos_yielding": 1.6662796823245745, + "deflection": 0.007992578952430473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3303": { + "node_id": "node_3303", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 180.34 kg\n Factor of Safety: 0.51\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.33702829390973, + "fos_buckling": 0.5147967506019928, + "fos_yielding": 1.665958700519565, + "deflection": 0.007676584102571325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.319)" + }, + "parent_node_id": "node_3302", + "improvement_over_parent": null + }, + "node_3304": { + "node_id": "node_3304", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n Mass: 218.42 kg\n Factor of Safety: 0.61\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.42325027286074, + "fos_buckling": 0.6059761219881261, + "fos_yielding": 2.012783506457003, + "deflection": 0.006354248261759059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_3303", + "improvement_over_parent": null + }, + "node_3305": { + "node_id": "node_3305", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n Mass: 222.61 kg\n Factor of Safety: 1.20\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.60549115748935, + "fos_buckling": 1.2005014995949237, + "fos_yielding": 2.341623382114276, + "deflection": 0.004540655666946932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002606)" + }, + "parent_node_id": "node_3304", + "improvement_over_parent": null + }, + "node_3306": { + "node_id": "node_3306", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n\nPerformance:\n Mass: 228.50 kg\n Factor of Safety: 1.40\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.4952022743674, + "fos_buckling": 1.3965706556337973, + "fos_yielding": 2.3538573965568417, + "deflection": 0.004455563816665675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002620)" + }, + "parent_node_id": "node_3305", + "improvement_over_parent": null + }, + "node_3307": { + "node_id": "node_3307", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.61 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6075018217325, + "fos_buckling": 1.541245034099067, + "fos_yielding": 2.650234239787657, + "deflection": 0.003958674569518889, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_3306", + "improvement_over_parent": null + }, + "node_3308": { + "node_id": "node_3308", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3307", + "improvement_over_parent": null + }, + "node_3309": { + "node_id": "node_3309", + "content": "INITIAL DESIGN (Trace 476)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 198.89 kg\n Factor of Safety: 0.08\n Max Deflection: 4.19e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.89067715206298, + "fos_buckling": 0.0760109831998107, + "fos_yielding": 0.314905098978413, + "deflection": 41921499358167.06, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3310": { + "node_id": "node_3310", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n Mass: 207.02 kg\n Factor of Safety: 1.03\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.02384078959076, + "fos_buckling": 1.0282689734097052, + "fos_yielding": 2.3168787818324073, + "deflection": 0.004652762804712506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003547)" + }, + "parent_node_id": "node_3309", + "improvement_over_parent": null + }, + "node_3311": { + "node_id": "node_3311", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n Mass: 207.79 kg\n Factor of Safety: 1.03\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.78722212536374, + "fos_buckling": 1.0282462234249223, + "fos_yielding": 2.3168280892553397, + "deflection": 0.004635831959046849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.236)" + }, + "parent_node_id": "node_3310", + "improvement_over_parent": null + }, + "node_3312": { + "node_id": "node_3312", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 244.30 kg\n Factor of Safety: 1.18\n Max Deflection: 3.95e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.29779636455726, + "fos_buckling": 1.1772686988698993, + "fos_yielding": 2.7187913582829144, + "deflection": 0.003951868773257909, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_3311", + "improvement_over_parent": null + }, + "node_3313": { + "node_id": "node_3313", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 250.86 kg\n Factor of Safety: 1.33\n Max Deflection: 4.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.85658455270686, + "fos_buckling": 1.325421504358175, + "fos_yielding": 2.6353389929632534, + "deflection": 0.004035815708467745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.50 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4991847815262, + "fos_buckling": 1.5406865611036906, + "fos_yielding": 2.649024064500138, + "deflection": 0.003960399960397078, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_3313", + "improvement_over_parent": null + }, + "node_3315": { + "node_id": "node_3315", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3314", + "improvement_over_parent": null + }, + "node_3316": { + "node_id": "node_3316", + "content": "INITIAL DESIGN (Trace 477)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 148.50 kg\n Factor of Safety: 0.96\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.5041121810362, + "fos_buckling": 0.9605463565141895, + "fos_yielding": 1.5353860526064682, + "deflection": 0.006824007005216816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3317": { + "node_id": "node_3317", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 182.69 kg\n Factor of Safety: 1.15\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.69439315337442, + "fos_buckling": 1.1538203471340773, + "fos_yielding": 1.8859238196413461, + "deflection": 0.005557917457715606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_3316", + "improvement_over_parent": null + }, + "node_3318": { + "node_id": "node_3318", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 204.81 kg\n Factor of Safety: 1.27\n Max Deflection: 4.96e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.80743857598335, + "fos_buckling": 1.273312924815267, + "fos_yielding": 2.112055373367373, + "deflection": 0.004964168219784611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_3317", + "improvement_over_parent": null + }, + "node_3319": { + "node_id": "node_3319", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.78 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.78323334410095, + "fos_buckling": 1.5420514336362732, + "fos_yielding": 2.651938797029845, + "deflection": 0.00395607071309237, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_3318", + "improvement_over_parent": null + }, + "node_3320": { + "node_id": "node_3320", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3319", + "improvement_over_parent": null + }, + "node_3321": { + "node_id": "node_3321", + "content": "INITIAL DESIGN (Trace 478)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 167.41 kg\n Factor of Safety: 0.91\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.4082949890048, + "fos_buckling": 0.9058413871176053, + "fos_yielding": 1.4928213328455142, + "deflection": 0.006154013158982954, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3322": { + "node_id": "node_3322", + "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 169.95 kg\n Factor of Safety: 0.91\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.95036916472057, + "fos_buckling": 0.9070696711519547, + "fos_yielding": 1.489652683135163, + "deflection": 0.006110354160412023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.258)" + }, + "parent_node_id": "node_3321", + "improvement_over_parent": null + }, + "node_3323": { + "node_id": "node_3323", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 198.81 kg\n Factor of Safety: 1.05\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.8060094176568, + "fos_buckling": 1.0480994048487091, + "fos_yielding": 1.7434609275508213, + "deflection": 0.00523012598147096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_3322", + "improvement_over_parent": null + }, + "node_3324": { + "node_id": "node_3324", + "content": "MODIFICATION: Increase 18 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 203.59 kg\n Factor of Safety: 1.27\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.58890895758228, + "fos_buckling": 1.2710614624492524, + "fos_yielding": 1.7481153995798169, + "deflection": 0.005112380925800774, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.431)" + }, + "parent_node_id": "node_3323", + "improvement_over_parent": null + }, + "node_3325": { + "node_id": "node_3325", + "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 205.07 kg\n Factor of Safety: 1.27\n Max Deflection: 4.96e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.06655891188325, + "fos_buckling": 1.2746487426456319, + "fos_yielding": 2.1145509768657678, + "deflection": 0.004958032068869246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.235)" + }, + "parent_node_id": "node_3324", + "improvement_over_parent": null + }, + "node_3326": { + "node_id": "node_3326", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.37 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.37082756658947, + "fos_buckling": 1.5400110275754098, + "fos_yielding": 2.6475605245698417, + "deflection": 0.003962364952313357, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_3325", + "improvement_over_parent": null + }, + "node_3327": { + "node_id": "node_3327", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3326", + "improvement_over_parent": null + }, + "node_3328": { + "node_id": "node_3328", + "content": "INITIAL DESIGN (Trace 479)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 172.02 kg\n Factor of Safety: 1.05\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.017212791601, + "fos_buckling": 1.0468051677788532, + "fos_yielding": 1.7844311181712698, + "deflection": 0.005822110136338755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3329": { + "node_id": "node_3329", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 214.93 kg\n Factor of Safety: 1.28\n Max Deflection: 4.67e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.9324982776509, + "fos_buckling": 1.2845815975676924, + "fos_yielding": 2.2252132077130793, + "deflection": 0.004672118423987185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_3328", + "improvement_over_parent": null + }, + "node_3330": { + "node_id": "node_3330", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.27 kg\n Factor of Safety: 1.50\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.2738187680642, + "fos_buckling": 1.4991798819192443, + "fos_yielding": 2.637963426859768, + "deflection": 0.003943711942710483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_3329", + "improvement_over_parent": null + }, + "node_3331": { + "node_id": "node_3331", + "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.44 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4424875016257, + "fos_buckling": 1.5403978817717352, + "fos_yielding": 2.648490382944358, + "deflection": 0.003961173471435848, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.420)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 480)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 168.37 kg\n Factor of Safety: 0.94\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.3722238264621, + "fos_buckling": 0.9436025309409132, + "fos_yielding": 1.7755160960968281, + "deflection": 0.005984551602612978, + "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: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n Mass: 172.83 kg\n Factor of Safety: 1.10\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.8311788866113, + "fos_buckling": 1.0991216786197404, + "fos_yielding": 1.784903274330366, + "deflection": 0.005871773726293636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001944)" + }, + "parent_node_id": "node_3333", + "improvement_over_parent": null + }, + "node_3335": { + "node_id": "node_3335", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n Mass: 219.09 kg\n Factor of Safety: 1.35\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.0896078950906, + "fos_buckling": 1.3481884952931915, + "fos_yielding": 2.2578517181213367, + "deflection": 0.004644406887943315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_3334", + "improvement_over_parent": null + }, + "node_3336": { + "node_id": "node_3336", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.39 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.38835373387826, + "fos_buckling": 1.5401315935860138, + "fos_yielding": 2.647909701123996, + "deflection": 0.003962066201816653, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_3335", + "improvement_over_parent": null + }, + "node_3337": { + "node_id": "node_3337", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3336", + "improvement_over_parent": null + }, + "node_3338": { + "node_id": "node_3338", + "content": "INITIAL DESIGN (Trace 481)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 227.07 kg\n Factor of Safety: 1.17\n Max Deflection: 4.56e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.07265278576998, + "fos_buckling": 1.174230497289654, + "fos_yielding": 2.239238234769241, + "deflection": 0.004559969954588747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3339": { + "node_id": "node_3339", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 228.62 kg\n Factor of Safety: 1.18\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.61884801652045, + "fos_buckling": 1.1760188817575814, + "fos_yielding": 2.400386509216311, + "deflection": 0.004437800633195579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.253)" + }, + "parent_node_id": "node_3338", + "improvement_over_parent": null + }, + "node_3340": { + "node_id": "node_3340", + "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n Mass: 232.28 kg\n Factor of Safety: 1.42\n Max Deflection: 4.38e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.2818585300311, + "fos_buckling": 1.4157400003654468, + "fos_yielding": 2.3924362350734123, + "deflection": 0.0043838329712931985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.597)" + }, + "parent_node_id": "node_3339", + "improvement_over_parent": null + }, + "node_3341": { + "node_id": "node_3341", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.64 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.64481457727356, + "fos_buckling": 1.5413508620955823, + "fos_yielding": 2.65059640304109, + "deflection": 0.0039580622151628555, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_3340", + "improvement_over_parent": null + }, + "node_3342": { + "node_id": "node_3342", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3341", + "improvement_over_parent": null + }, + "node_3343": { + "node_id": "node_3343", + "content": "INITIAL DESIGN (Trace 482)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 136.23 kg\n Factor of Safety: 0.05\n Max Deflection: 5.17e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.22922670737387, + "fos_buckling": 0.05383705805240723, + "fos_yielding": 0.314905098978413, + "deflection": 51703130968264.09, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3344": { + "node_id": "node_3344", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 154.49 kg\n Factor of Safety: 0.19\n Max Deflection: 1.31e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.49061233707624, + "fos_buckling": 0.1925124728305863, + "fos_yielding": 1.157160651965499, + "deflection": 13083307931964.31, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_3343", + "improvement_over_parent": null + }, + "node_3345": { + "node_id": "node_3345", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n Mass: 179.66 kg\n Factor of Safety: 0.14\n Max Deflection: 8.78e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.66364304848753, + "fos_buckling": 0.13658513770796926, + "fos_yielding": 0.314905098978413, + "deflection": 87801721950634.69, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_3344", + "improvement_over_parent": null + }, + "node_3346": { + "node_id": "node_3346", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n\nPerformance:\n Mass: 197.46 kg\n Factor of Safety: 0.54\n Max Deflection: 1.84e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.45893708312235, + "fos_buckling": 0.5358485555722695, + "fos_yielding": 1.8110925408496492, + "deflection": 1836980142358.8025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004003)" + }, + "parent_node_id": "node_3345", + "improvement_over_parent": null + }, + "node_3347": { + "node_id": "node_3347", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 232.51 kg\n Factor of Safety: 0.68\n Max Deflection: 6.53e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.51156025765414, + "fos_buckling": 0.6766202616050679, + "fos_yielding": 2.363853800626337, + "deflection": 6527673873776.039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_3346", + "improvement_over_parent": null + }, + "node_3348": { + "node_id": "node_3348", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n Mass: 241.15 kg\n Factor of Safety: 0.92\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.1484237853077, + "fos_buckling": 0.9172936101477355, + "fos_yielding": 2.3950805249956666, + "deflection": 0.0044145859372962245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)" + }, + "parent_node_id": "node_3347", + "improvement_over_parent": null + }, + "node_3349": { + "node_id": "node_3349", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n Mass: 251.12 kg\n Factor of Safety: 1.44\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.12017718400335, + "fos_buckling": 1.4356985188641664, + "fos_yielding": 2.720013558017268, + "deflection": 0.00388593280993382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)" + }, + "parent_node_id": "node_3348", + "improvement_over_parent": null + }, + "node_3350": { + "node_id": "node_3350", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 257.68 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.67896537215296, + "fos_buckling": 1.5417186124541722, + "fos_yielding": 2.65121414893516, + "deflection": 0.003957651361541987, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)" + }, + "parent_node_id": "node_3349", + "improvement_over_parent": null + }, + "node_3351": { + "node_id": "node_3351", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3350", + "improvement_over_parent": null + }, + "node_3352": { + "node_id": "node_3352", + "content": "INITIAL DESIGN (Trace 483)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 135.67 kg\n Factor of Safety: 0.03\n Max Deflection: 3.10e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.67011076896554, + "fos_buckling": 0.03370407687601656, + "fos_yielding": 0.4200453846748979, + "deflection": 31049311532095.227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3353": { + "node_id": "node_3353", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 147.71 kg\n Factor of Safety: 0.46\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.7062772510102, + "fos_buckling": 0.46406164030337527, + "fos_yielding": 1.524222249476359, + "deflection": 0.008458446313633931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002869)" + }, + "parent_node_id": "node_3352", + "improvement_over_parent": null + }, + "node_3354": { + "node_id": "node_3354", + "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n Mass: 150.24 kg\n Factor of Safety: 0.48\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.23614469138803, + "fos_buckling": 0.4768692146422363, + "fos_yielding": 1.5238896113955058, + "deflection": 0.00832241989110842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(14, thickness, 1.403)" + }, + "parent_node_id": "node_3353", + "improvement_over_parent": null + }, + "node_3355": { + "node_id": "node_3355", + "content": "MODIFICATION: Increase 18 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n Mass: 153.66 kg\n Factor of Safety: 0.48\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.65630316748192, + "fos_buckling": 0.47695572782993967, + "fos_yielding": 1.5234401446871475, + "deflection": 0.00805982945114731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.307)" + }, + "parent_node_id": "node_3354", + "improvement_over_parent": null + }, + "node_3356": { + "node_id": "node_3356", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n\nPerformance:\n Mass: 167.64 kg\n Factor of Safety: 0.94\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.63624837707016, + "fos_buckling": 0.9430923084404911, + "fos_yielding": 1.765245652790418, + "deflection": 0.006027463609400298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003092)" + }, + "parent_node_id": "node_3355", + "improvement_over_parent": null + }, + "node_3357": { + "node_id": "node_3357", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n Mass: 172.07 kg\n Factor of Safety: 0.94\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.06924702373234, + "fos_buckling": 0.9384217963891806, + "fos_yielding": 1.7725764721158148, + "deflection": 0.005959397699830336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001932)" + }, + "parent_node_id": "node_3356", + "improvement_over_parent": null + }, + "node_3358": { + "node_id": "node_3358", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0047)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n Mass: 210.72 kg\n Factor of Safety: 1.13\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.72400111545073, + "fos_buckling": 1.1261815273543891, + "fos_yielding": 2.167351758412512, + "deflection": 0.004875871644627227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_3357", + "improvement_over_parent": null + }, + "node_3359": { + "node_id": "node_3359", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0058)]\n M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.68 kg\n Factor of Safety: 1.34\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.6769153867727, + "fos_buckling": 1.3429291578725313, + "fos_yielding": 2.645256104653301, + "deflection": 0.003996888794482458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_3358", + "improvement_over_parent": null + }, + "node_3360": { + "node_id": "node_3360", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3359", + "improvement_over_parent": null + }, + "node_3361": { + "node_id": "node_3361", + "content": "INITIAL DESIGN (Trace 484)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\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_3362": { + "node_id": "node_3362", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 217.21 kg\n Factor of Safety: 0.98\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.20824058179255, + "fos_buckling": 0.9769835092055428, + "fos_yielding": 2.43154039153916, + "deflection": 0.005190720504140599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)" + }, + "parent_node_id": "node_3361", + "improvement_over_parent": null + }, + "node_3363": { + "node_id": "node_3363", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 218.43 kg\n Factor of Safety: 0.96\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.4304323603581, + "fos_buckling": 0.95606448207931, + "fos_yielding": 2.4313993584944416, + "deflection": 0.005133469710235611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.181)" + }, + "parent_node_id": "node_3362", + "improvement_over_parent": null + }, + "node_3364": { + "node_id": "node_3364", + "content": "MODIFICATION: Increase 16 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0065)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 225.73 kg\n Factor of Safety: 0.97\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.72640784444255, + "fos_buckling": 0.967925505049248, + "fos_yielding": 2.431118770991906, + "deflection": 0.005088136241785453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.468)" + }, + "parent_node_id": "node_3363", + "improvement_over_parent": null + }, + "node_3365": { + "node_id": "node_3365", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0065)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 239.48 kg\n Factor of Safety: 1.16\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.47587631062996, + "fos_buckling": 1.1637108789343644, + "fos_yielding": 2.428478072849924, + "deflection": 0.004539640792948868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_3364", + "improvement_over_parent": null + }, + "node_3366": { + "node_id": "node_3366", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0065)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 258.57 kg\n Factor of Safety: 1.26\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.56562008543744, + "fos_buckling": 1.2582903471960127, + "fos_yielding": 2.643017926031368, + "deflection": 0.00401634664297176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_3365", + "improvement_over_parent": null + }, + "node_3367": { + "node_id": "node_3367", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3366", + "improvement_over_parent": null + }, + "node_3368": { + "node_id": "node_3368", + "content": "INITIAL DESIGN (Trace 485)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n Mass: 232.48 kg\n Factor of Safety: 0.46\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.48335143611388, + "fos_buckling": 0.4593790889579296, + "fos_yielding": 1.5695727483576472, + "deflection": 0.005386998337559452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3369": { + "node_id": "node_3369", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 253.74 kg\n Factor of Safety: 1.15\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.73847751800602, + "fos_buckling": 1.1496121200094633, + "fos_yielding": 2.455223226751743, + "deflection": 0.00411123843462054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)" + }, + "parent_node_id": "node_3368", + "improvement_over_parent": null + }, + "node_3370": { + "node_id": "node_3370", + "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 255.82 kg\n Factor of Safety: 1.17\n Max Deflection: 3.99e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.81910470782938, + "fos_buckling": 1.1689407275499601, + "fos_yielding": 2.6483331347924124, + "deflection": 0.003994311937208972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.348)" + }, + "parent_node_id": "node_3369", + "improvement_over_parent": null + }, + "node_3371": { + "node_id": "node_3371", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.54 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53990206998617, + "fos_buckling": 1.5408284789049964, + "fos_yielding": 2.649356405855529, + "deflection": 0.003959594440442087, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.629)" + }, + "parent_node_id": "node_3370", + "improvement_over_parent": null + }, + "node_3372": { + "node_id": "node_3372", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3371", + "improvement_over_parent": null + }, + "node_3373": { + "node_id": "node_3373", + "content": "INITIAL DESIGN (Trace 486)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 194.73 kg\n Factor of Safety: 0.96\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.72859591393413, + "fos_buckling": 0.9646613800688549, + "fos_yielding": 1.942562861001743, + "deflection": 0.005750016297074205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3374": { + "node_id": "node_3374", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.89 kg\n Factor of Safety: 1.16\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.88662216247948, + "fos_buckling": 1.1631516817172354, + "fos_yielding": 2.4273794395285964, + "deflection": 0.004603872543426615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_3373", + "improvement_over_parent": null + }, + "node_3375": { + "node_id": "node_3375", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n Mass: 248.89 kg\n Factor of Safety: 1.32\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.8898487711458, + "fos_buckling": 1.3185825817339676, + "fos_yielding": 2.6390141646216176, + "deflection": 0.004074364249514459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)" + }, + "parent_node_id": "node_3374", + "improvement_over_parent": null + }, + "node_3376": { + "node_id": "node_3376", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 255.53 kg\n Factor of Safety: 1.51\n Max Deflection: 4.01e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.53244899996514, + "fos_buckling": 1.505996136876265, + "fos_yielding": 2.6512613453713723, + "deflection": 0.0040140206093686, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_3375", + "improvement_over_parent": null + }, + "node_3377": { + "node_id": "node_3377", + "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.57 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5664614731022, + "fos_buckling": 1.5410077720499755, + "fos_yielding": 2.6497784871079135, + "deflection": 0.003959340420800752, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.631)" + }, + "parent_node_id": "node_3376", + "improvement_over_parent": null + }, + "node_3378": { + "node_id": "node_3378", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3377", + "improvement_over_parent": null + }, + "node_3379": { + "node_id": "node_3379", + "content": "INITIAL DESIGN (Trace 487)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 184.68 kg\n Factor of Safety: 0.97\n Max Deflection: 5.67e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.68002022418707, + "fos_buckling": 0.9698122744424376, + "fos_yielding": 1.954387487663973, + "deflection": 0.00566893191637093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3380": { + "node_id": "node_3380", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n Mass: 189.95 kg\n Factor of Safety: 0.97\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.94633471346833, + "fos_buckling": 0.9694080322578844, + "fos_yielding": 1.9535728497301157, + "deflection": 0.005622908885360844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002108)" + }, + "parent_node_id": "node_3379", + "improvement_over_parent": null + }, + "node_3381": { + "node_id": "node_3381", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 236.51 kg\n Factor of Safety: 1.16\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.51273046567172, + "fos_buckling": 1.1632093391709608, + "fos_yielding": 2.427280689585157, + "deflection": 0.0045278562136806646, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_3380", + "improvement_over_parent": null + }, + "node_3382": { + "node_id": "node_3382", + "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n Mass: 238.36 kg\n Factor of Safety: 1.16\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.35508597923032, + "fos_buckling": 1.163175485110638, + "fos_yielding": 2.4272100459751744, + "deflection": 0.004481088190902373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.543)" + }, + "parent_node_id": "node_3381", + "improvement_over_parent": null + }, + "node_3383": { + "node_id": "node_3383", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.44 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4448297540378, + "fos_buckling": 1.540450079622891, + "fos_yielding": 2.64846012218904, + "deflection": 0.003961257825822131, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)" + }, + "parent_node_id": "node_3382", + "improvement_over_parent": null + }, + "node_3384": { + "node_id": "node_3384", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3383", + "improvement_over_parent": null + }, + "node_3385": { + "node_id": "node_3385", + "content": "INITIAL DESIGN (Trace 488)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n Mass: 146.31 kg\n Factor of Safety: 0.58\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.30619184295307, + "fos_buckling": 0.5844751728047382, + "fos_yielding": 1.616384004805649, + "deflection": 0.006325169670642407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3386": { + "node_id": "node_3386", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 188.55 kg\n Factor of Safety: 0.74\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.5474041245504, + "fos_buckling": 0.7389731689784867, + "fos_yielding": 2.0775070312735786, + "deflection": 0.0049230131575276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_3385", + "improvement_over_parent": null + }, + "node_3387": { + "node_id": "node_3387", + "content": "MODIFICATION: Increase 15 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 189.40 kg\n Factor of Safety: 0.82\n Max Deflection: 4.94e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.40405231778615, + "fos_buckling": 0.8152083487288426, + "fos_yielding": 2.0722512830661746, + "deflection": 0.004944940604011191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.211)" + }, + "parent_node_id": "node_3386", + "improvement_over_parent": null + }, + "node_3388": { + "node_id": "node_3388", + "content": "MODIFICATION: Increase 13 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 194.67 kg\n Factor of Safety: 0.69\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.66787873776062, + "fos_buckling": 0.6874374247192516, + "fos_yielding": 2.055494357165714, + "deflection": 0.004865257080973682, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.570)" + }, + "parent_node_id": "node_3387", + "improvement_over_parent": null + }, + "node_3389": { + "node_id": "node_3389", + "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 197.57 kg\n Factor of Safety: 0.62\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.566180745582, + "fos_buckling": 0.6178824346204319, + "fos_yielding": 2.043834506453922, + "deflection": 0.004807530896897981, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.502)" + }, + "parent_node_id": "node_3388", + "improvement_over_parent": null + }, + "node_3390": { + "node_id": "node_3390", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 198.39 kg\n Factor of Safety: 0.60\n Max Deflection: 4.79e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.38804128487553, + "fos_buckling": 0.5964328128774858, + "fos_yielding": 2.039676684986955, + "deflection": 0.004787198163926294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.280)" + }, + "parent_node_id": "node_3389", + "improvement_over_parent": null + }, + "node_3391": { + "node_id": "node_3391", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n\nPerformance:\n Mass: 204.62 kg\n Factor of Safety: 1.27\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.61795973925902, + "fos_buckling": 1.2722703435335134, + "fos_yielding": 2.110074657961463, + "deflection": 0.004968915232840371, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002529)" + }, + "parent_node_id": "node_3390", + "improvement_over_parent": null + }, + "node_3392": { + "node_id": "node_3392", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.55 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.55026383254665, + "fos_buckling": 1.5408806506744874, + "fos_yielding": 2.6495151266974952, + "deflection": 0.0039597552335327805, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 489)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0007)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n Mass: 146.53 kg\n Factor of Safety: 0.57\n Max Deflection: 6.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.52543415352085, + "fos_buckling": 0.5673141426016375, + "fos_yielding": 1.571803968415861, + "deflection": 0.006907454078981443, + "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 all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0008)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n Mass: 162.03 kg\n Factor of Safety: 0.63\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.03344672829124, + "fos_buckling": 0.6256511215082868, + "fos_yielding": 1.7368312649909623, + "deflection": 0.0062515890879538336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_3394", + "improvement_over_parent": null + }, + "node_3396": { + "node_id": "node_3396", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0010)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 197.06 kg\n Factor of Safety: 0.76\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.06311655729667, + "fos_buckling": 0.7562478310733125, + "fos_yielding": 2.108659689116074, + "deflection": 0.005150025213488312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_3395", + "improvement_over_parent": null + }, + "node_3397": { + "node_id": "node_3397", + "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n Mass: 197.94 kg\n Factor of Safety: 1.03\n Max Deflection: 5.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.9404856917981, + "fos_buckling": 1.0253207394364894, + "fos_yielding": 2.103203090779242, + "deflection": 0.005101803850549192, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.534)" + }, + "parent_node_id": "node_3396", + "improvement_over_parent": null + }, + "node_3398": { + "node_id": "node_3398", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n Mass: 202.28 kg\n Factor of Safety: 1.03\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.28465295948592, + "fos_buckling": 1.0313001201814629, + "fos_yielding": 2.113400205385235, + "deflection": 0.005013922045396372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001891)" + }, + "parent_node_id": "node_3397", + "improvement_over_parent": null + }, + "node_3399": { + "node_id": "node_3399", + "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.03\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.1034704491412, + "fos_buckling": 1.0316263174383693, + "fos_yielding": 2.113958543048281, + "deflection": 0.004988839061764447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.232)" + }, + "parent_node_id": "node_3398", + "improvement_over_parent": null + }, + "node_3400": { + "node_id": "node_3400", + "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n Mass: 205.49 kg\n Factor of Safety: 1.27\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.48634285061712, + "fos_buckling": 1.2723490901126222, + "fos_yielding": 2.1096093989403455, + "deflection": 0.004951862946152819, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.572)" + }, + "parent_node_id": "node_3399", + "improvement_over_parent": null + }, + "node_3401": { + "node_id": "node_3401", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0047)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n Mass: 258.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.95e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.5992207625654, + "fos_buckling": 1.5409896282748934, + "fos_yielding": 2.6489684533289175, + "deflection": 0.003946438359719532, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "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 490)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0017)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 128.01 kg\n Factor of Safety: 0.40\n Max Deflection: 9.14e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.0073398703533, + "fos_buckling": 0.4044899025200832, + "fos_yielding": 1.297028229260035, + "deflection": 0.00914306085910897, + "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 13 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0017)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n Mass: 131.23 kg\n Factor of Safety: 0.41\n Max Deflection: 9.01e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.2323560178831, + "fos_buckling": 0.41248889472650707, + "fos_yielding": 1.2969078406431358, + "deflection": 0.009012619183523975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.227)" + }, + "parent_node_id": "node_3403", + "improvement_over_parent": null + }, + "node_3405": { + "node_id": "node_3405", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 161.76 kg\n Factor of Safety: 0.50\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.75739913783147, + "fos_buckling": 0.4969633580490292, + "fos_yielding": 1.5957914315098805, + "deflection": 0.007323457256386662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_3404", + "improvement_over_parent": null + }, + "node_3406": { + "node_id": "node_3406", + "content": "MODIFICATION: Increase 18 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n Mass: 165.41 kg\n Factor of Safety: 0.50\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.41105911251796, + "fos_buckling": 0.49699545330241596, + "fos_yielding": 1.595623900610604, + "deflection": 0.00729308300193734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(18, thickness, 1.435)" + }, + "parent_node_id": "node_3405", + "improvement_over_parent": null + }, + "node_3407": { + "node_id": "node_3407", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 202.46 kg\n Factor of Safety: 0.59\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.45688294315053, + "fos_buckling": 0.5917949446651692, + "fos_yielding": 1.9493842436528004, + "deflection": 0.005968768260826914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_3406", + "improvement_over_parent": null + }, + "node_3408": { + "node_id": "node_3408", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n\nPerformance:\n Mass: 220.37 kg\n Factor of Safety: 1.36\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.37136222913767, + "fos_buckling": 1.3553536342210961, + "fos_yielding": 2.2709444796760065, + "deflection": 0.004617729914722642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004032)" + }, + "parent_node_id": "node_3407", + "improvement_over_parent": null + }, + "node_3409": { + "node_id": "node_3409", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 257.68 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.6839499347575, + "fos_buckling": 1.542133468842422, + "fos_yielding": 2.6509341382099367, + "deflection": 0.003957583299084721, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_3408", + "improvement_over_parent": null + }, + "node_3410": { + "node_id": "node_3410", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3409", + "improvement_over_parent": null + }, + "node_3411": { + "node_id": "node_3411", + "content": "INITIAL DESIGN (Trace 491)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0019)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0009)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0009)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n Mass: 111.35 kg\n Factor of Safety: 0.61\n Max Deflection: 9.44e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 111.34784563300006, + "fos_buckling": 0.6118162587372669, + "fos_yielding": 1.166901250529336, + "deflection": 0.00944423573468983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3412": { + "node_id": "node_3412", + "content": "MODIFICATION: Increase 11 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0019)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0009)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0027)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n Mass: 112.50 kg\n Factor of Safety: 0.61\n Max Deflection: 9.41e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.50432880657088, + "fos_buckling": 0.6117937792142298, + "fos_yielding": 1.166858375919242, + "deflection": 0.009408055490568725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.597)" + }, + "parent_node_id": "node_3411", + "improvement_over_parent": null + }, + "node_3413": { + "node_id": "node_3413", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0011)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 140.74 kg\n Factor of Safety: 0.75\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.73696332184943, + "fos_buckling": 0.7492235181783861, + "fos_yielding": 1.457776010835154, + "deflection": 0.007533431752222863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_3412", + "improvement_over_parent": null + }, + "node_3414": { + "node_id": "node_3414", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 171.77 kg\n Factor of Safety: 0.89\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.7695662084917, + "fos_buckling": 0.8928901731790309, + "fos_yielding": 1.7766629119997353, + "deflection": 0.006183826798273408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_3413", + "improvement_over_parent": null + }, + "node_3415": { + "node_id": "node_3415", + "content": "MODIFICATION: Increase 9 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n Mass: 173.95 kg\n Factor of Safety: 0.89\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.9506520578838, + "fos_buckling": 0.892705067286559, + "fos_yielding": 1.7762945903585883, + "deflection": 0.006116965287643059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.656)" + }, + "parent_node_id": "node_3414", + "improvement_over_parent": null + }, + "node_3416": { + "node_id": "node_3416", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 196.40 kg\n Factor of Safety: 0.99\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.39567911873016, + "fos_buckling": 0.9906087103604803, + "fos_yielding": 2.0035294221438913, + "deflection": 0.0054250584427786115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_3415", + "improvement_over_parent": null + }, + "node_3417": { + "node_id": "node_3417", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n Mass: 212.12 kg\n Factor of Safety: 1.31\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.1157700722829, + "fos_buckling": 1.3118850056472948, + "fos_yielding": 2.1867173034093055, + "deflection": 0.004795258011798076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003696)" + }, + "parent_node_id": "node_3416", + "improvement_over_parent": null + }, + "node_3418": { + "node_id": "node_3418", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.50890932173075, + "fos_buckling": 1.5407564271004626, + "fos_yielding": 2.649180711898968, + "deflection": 0.003960307027681391, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_3417", + "improvement_over_parent": null + }, + "node_3419": { + "node_id": "node_3419", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3418", + "improvement_over_parent": null + }, + "node_3420": { + "node_id": "node_3420", + "content": "INITIAL DESIGN (Trace 492)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 175.90 kg\n Factor of Safety: 0.56\n Max Deflection: 6.44e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.90429938316544, + "fos_buckling": 0.5562421577329205, + "fos_yielding": 1.6732443934373895, + "deflection": 0.006444327222876138, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3421": { + "node_id": "node_3421", + "content": "MODIFICATION: Increase 16 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 178.91 kg\n Factor of Safety: 0.56\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.9064437846465, + "fos_buckling": 0.5560043918432169, + "fos_yielding": 1.6743777528149253, + "deflection": 0.006434194150465828, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.285)" + }, + "parent_node_id": "node_3420", + "improvement_over_parent": null + }, + "node_3422": { + "node_id": "node_3422", + "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n Mass: 181.14 kg\n Factor of Safety: 0.56\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.1443295889245, + "fos_buckling": 0.555898115049275, + "fos_yielding": 1.9648411245300297, + "deflection": 0.006214643552833654, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.449)" + }, + "parent_node_id": "node_3421", + "improvement_over_parent": null + }, + "node_3423": { + "node_id": "node_3423", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n\nPerformance:\n Mass: 187.36 kg\n Factor of Safety: 0.56\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.36049151749333, + "fos_buckling": 0.5557014193486532, + "fos_yielding": 1.9641437879976444, + "deflection": 0.006402370673888409, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002523)" + }, + "parent_node_id": "node_3422", + "improvement_over_parent": null + }, + "node_3424": { + "node_id": "node_3424", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.27\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.21229296829657, + "fos_buckling": 1.2701575463264518, + "fos_yielding": 2.1059854409660037, + "deflection": 0.0049784541248789616, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003744)" + }, + "parent_node_id": "node_3423", + "improvement_over_parent": null + }, + "node_3425": { + "node_id": "node_3425", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.59739997511235, + "fos_buckling": 1.5411565565010272, + "fos_yielding": 2.6500619542332906, + "deflection": 0.00395887453802779, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_3424", + "improvement_over_parent": null + }, + "node_3426": { + "node_id": "node_3426", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3425", + "improvement_over_parent": null + }, + "node_3427": { + "node_id": "node_3427", + "content": "INITIAL DESIGN (Trace 493)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 243.49 kg\n Factor of Safety: 0.93\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.4880358214476, + "fos_buckling": 0.9262917828825087, + "fos_yielding": 2.1327291259242713, + "deflection": 0.0048716437664179275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3428": { + "node_id": "node_3428", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 248.20 kg\n Factor of Safety: 1.23\n Max Deflection: 4.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.20485507080917, + "fos_buckling": 1.2333903389646863, + "fos_yielding": 2.334955908142075, + "deflection": 0.004190509141541325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)" + }, + "parent_node_id": "node_3427", + "improvement_over_parent": null + }, + "node_3429": { + "node_id": "node_3429", + "content": "MODIFICATION: Increase 11 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 250.00 kg\n Factor of Safety: 1.24\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.99550228414302, + "fos_buckling": 1.2362735863732073, + "fos_yielding": 2.3404142414518794, + "deflection": 0.004173775516776351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(11, thickness, 1.186)" + }, + "parent_node_id": "node_3428", + "improvement_over_parent": null + }, + "node_3430": { + "node_id": "node_3430", + "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 252.42 kg\n Factor of Safety: 1.34\n Max Deflection: 4.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.41544174891112, + "fos_buckling": 1.3419130622030657, + "fos_yielding": 2.639911153355509, + "deflection": 0.004031194964702872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.427)" + }, + "parent_node_id": "node_3429", + "improvement_over_parent": null + }, + "node_3431": { + "node_id": "node_3431", + "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0057)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n Mass: 256.68 kg\n Factor of Safety: 1.37\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.6781778590214, + "fos_buckling": 1.3655882595345672, + "fos_yielding": 2.634753430825453, + "deflection": 0.004002223713834967, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.252)" + }, + "parent_node_id": "node_3430", + "improvement_over_parent": null + }, + "node_3432": { + "node_id": "node_3432", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3431", + "improvement_over_parent": null + }, + "node_3433": { + "node_id": "node_3433", + "content": "INITIAL DESIGN (Trace 494)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 184.47 kg\n Factor of Safety: 0.81\n Max Deflection: 2.83e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.47155150648487, + "fos_buckling": 0.8143739998337871, + "fos_yielding": 1.7790627557303482, + "deflection": 2834009231140.6426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3434": { + "node_id": "node_3434", + "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 186.59 kg\n Factor of Safety: 0.61\n Max Deflection: 2.83e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.59366491261508, + "fos_buckling": 0.6107804998753403, + "fos_yielding": 1.650259070195825, + "deflection": 2834009231140.6436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.337)" + }, + "parent_node_id": "node_3433", + "improvement_over_parent": null + }, + "node_3435": { + "node_id": "node_3435", + "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n Mass: 187.79 kg\n Factor of Safety: 0.02\n Max Deflection: 1.87e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.79411531600434, + "fos_buckling": 0.024329726387355644, + "fos_yielding": 0.31157051293723426, + "deflection": 18701113704115.89, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(13, thickness, 1.307)" + }, + "parent_node_id": "node_3434", + "improvement_over_parent": null + }, + "node_3436": { + "node_id": "node_3436", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n\nPerformance:\n Mass: 195.69 kg\n Factor of Safety: 0.75\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.68700804207808, + "fos_buckling": 0.7518062884768634, + "fos_yielding": 2.082209032689126, + "deflection": 0.005917985589265065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003434)" + }, + "parent_node_id": "node_3435", + "improvement_over_parent": null + }, + "node_3437": { + "node_id": "node_3437", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 237.21 kg\n Factor of Safety: 0.88\n Max Deflection: 4.89e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.20570839204578, + "fos_buckling": 0.8824771098325345, + "fos_yielding": 2.5186840183312853, + "deflection": 0.004893412925050727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_3436", + "improvement_over_parent": null + }, + "node_3438": { + "node_id": "node_3438", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 243.85 kg\n Factor of Safety: 0.95\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.8483086208651, + "fos_buckling": 0.9512328781831857, + "fos_yielding": 2.5177265523545853, + "deflection": 0.0047550902961333895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)" + }, + "parent_node_id": "node_3437", + "improvement_over_parent": null + }, + "node_3439": { + "node_id": "node_3439", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.5977770870525, + "fos_buckling": 1.5412040183986848, + "fos_yielding": 2.6502111976212683, + "deflection": 0.003958756632971066, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)" + }, + "parent_node_id": "node_3438", + "improvement_over_parent": null + }, + "node_3440": { + "node_id": "node_3440", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3439", + "improvement_over_parent": null + }, + "node_3441": { + "node_id": "node_3441", + "content": "INITIAL DESIGN (Trace 495)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 187.52 kg\n Factor of Safety: 0.22\n Max Deflection: 9.92e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.52442021720057, + "fos_buckling": 0.21780008508469903, + "fos_yielding": 1.259104270018325, + "deflection": 0.009920935063634785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3442": { + "node_id": "node_3442", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 188.87 kg\n Factor of Safety: 0.22\n Max Deflection: 9.92e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.87058687800578, + "fos_buckling": 0.2178011087702221, + "fos_yielding": 1.2590237490650615, + "deflection": 0.00992137243578807, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.248)" + }, + "parent_node_id": "node_3441", + "improvement_over_parent": null + }, + "node_3443": { + "node_id": "node_3443", + "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 191.79 kg\n Factor of Safety: 0.22\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.78713048073652, + "fos_buckling": 0.21725572237903107, + "fos_yielding": 1.258733079708502, + "deflection": 0.009665663610804518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.524)" + }, + "parent_node_id": "node_3442", + "improvement_over_parent": null + }, + "node_3444": { + "node_id": "node_3444", + "content": "MODIFICATION: Increase 15 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n Mass: 193.07 kg\n Factor of Safety: 0.23\n Max Deflection: 9.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.066902706008, + "fos_buckling": 0.2288748922033727, + "fos_yielding": 1.2586055770659872, + "deflection": 0.009534051185041524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(15, thickness, 1.522)" + }, + "parent_node_id": "node_3443", + "improvement_over_parent": null + }, + "node_3445": { + "node_id": "node_3445", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n\nPerformance:\n Mass: 220.67 kg\n Factor of Safety: 1.34\n Max Deflection: 4.56e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.66584670835118, + "fos_buckling": 1.336297950047049, + "fos_yielding": 2.3036787471806264, + "deflection": 0.004559166061184287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005035)" + }, + "parent_node_id": "node_3444", + "improvement_over_parent": null + }, + "node_3446": { + "node_id": "node_3446", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 255.64 kg\n Factor of Safety: 1.54\n Max Deflection: 3.94e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.63597126973, + "fos_buckling": 1.538195278003949, + "fos_yielding": 2.664027887828206, + "deflection": 0.0039440182977945, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_3445", + "improvement_over_parent": null + }, + "node_3447": { + "node_id": "node_3447", + "content": "MODIFICATION: Increase 16 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0067)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n Mass: 263.52 kg\n Factor of Safety: 1.42\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.51974670077914, + "fos_buckling": 1.418040197845361, + "fos_yielding": 2.6576649831403767, + "deflection": 0.003906449187528517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(16, thickness, 1.506)" + }, + "parent_node_id": "node_3446", + "improvement_over_parent": null + }, + "node_3448": { + "node_id": "node_3448", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3447", + "improvement_over_parent": null + }, + "node_3449": { + "node_id": "node_3449", + "content": "INITIAL DESIGN (Trace 496)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0013)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n Mass: 123.15 kg\n Factor of Safety: 0.37\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 123.1486983347093, + "fos_buckling": 0.3666918936238561, + "fos_yielding": 1.1015627734915636, + "deflection": 0.007954187360848776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3450": { + "node_id": "node_3450", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0013)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n\nPerformance:\n Mass: 127.15 kg\n Factor of Safety: 0.70\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.14952936541397, + "fos_buckling": 0.7010611410345923, + "fos_yielding": 1.0904091975160086, + "deflection": 0.008240717311472898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001583)" + }, + "parent_node_id": "node_3449", + "improvement_over_parent": null + }, + "node_3451": { + "node_id": "node_3451", + "content": "MODIFICATION: Increase 17 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0013)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n\nPerformance:\n Mass: 129.30 kg\n Factor of Safety: 0.74\n Max Deflection: 8.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.3009089544573, + "fos_buckling": 0.7357606826868937, + "fos_yielding": 1.0768288876837562, + "deflection": 0.008152383591532681, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(17, thickness, 1.212)" + }, + "parent_node_id": "node_3450", + "improvement_over_parent": null + }, + "node_3452": { + "node_id": "node_3452", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n Mass: 169.34 kg\n Factor of Safety: 0.95\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.33662325796516, + "fos_buckling": 0.9471136945845857, + "fos_yielding": 1.4135497813591533, + "deflection": 0.006234629076818723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_3451", + "improvement_over_parent": null + }, + "node_3453": { + "node_id": "node_3453", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0047)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n Mass: 210.83 kg\n Factor of Safety: 1.16\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.83274173749732, + "fos_buckling": 1.157823055376048, + "fos_yielding": 1.7646964109253067, + "deflection": 0.0050153908803504095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_3452", + "improvement_over_parent": null + }, + "node_3454": { + "node_id": "node_3454", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0058)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 253.28 kg\n Factor of Safety: 1.36\n Max Deflection: 4.18e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.28118168072902, + "fos_buckling": 1.3644656286197943, + "fos_yielding": 2.126544786724423, + "deflection": 0.0041813389293125685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_3453", + "improvement_over_parent": null + }, + "node_3455": { + "node_id": "node_3455", + "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0042)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0058)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 255.58 kg\n Factor of Safety: 1.40\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.58297503494606, + "fos_buckling": 1.4025308425393817, + "fos_yielding": 2.1120451720966833, + "deflection": 0.004170168455786859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.397)" + }, + "parent_node_id": "node_3454", + "improvement_over_parent": null + }, + "node_3456": { + "node_id": "node_3456", + "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0042)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0058)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 258.17 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 258.1669953969285, + "fos_buckling": 1.5418588649747729, + "fos_yielding": 2.643482354469631, + "deflection": 0.003964178113830864, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.437)" + }, + "parent_node_id": "node_3455", + "improvement_over_parent": null + }, + "node_3457": { + "node_id": "node_3457", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3456", + "improvement_over_parent": null + }, + "node_3458": { + "node_id": "node_3458", + "content": "INITIAL DESIGN (Trace 497)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 161.27 kg\n Factor of Safety: 0.07\n Max Deflection: 2.57e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.26913659686915, + "fos_buckling": 0.06630333954173359, + "fos_yielding": 0.29252771112576637, + "deflection": 25696702682999.89, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3459": { + "node_id": "node_3459", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 170.74 kg\n Factor of Safety: 0.04\n Max Deflection: 2.31e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.73616342888, + "fos_buckling": 0.035779713342234336, + "fos_yielding": 0.4475374330896141, + "deflection": 0.023146488447577135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002590)" + }, + "parent_node_id": "node_3458", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 191.29 kg\n Factor of Safety: 0.04\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": 191.2943891194232, + "fos_buckling": 0.0394858972493317, + "fos_yielding": 0.5009865855964385, + "deflection": 0.020681678626783096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_3459", + "improvement_over_parent": null + }, + "node_3461": { + "node_id": "node_3461", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n Mass: 198.67 kg\n Factor of Safety: 1.24\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.6728598306788, + "fos_buckling": 1.2405947494958605, + "fos_yielding": 2.049367948174908, + "deflection": 0.005115628201168426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003194)" + }, + "parent_node_id": "node_3460", + "improvement_over_parent": null + }, + "node_3462": { + "node_id": "node_3462", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n Mass: 257.50 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.50045702579587, + "fos_buckling": 1.5406806276900402, + "fos_yielding": 2.649063961876633, + "deflection": 0.003960343421907757, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_3461", + "improvement_over_parent": null + }, + "node_3463": { + "node_id": "node_3463", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3462", + "improvement_over_parent": null + }, + "node_3464": { + "node_id": "node_3464", + "content": "INITIAL DESIGN (Trace 498)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n Mass: 169.68 kg\n Factor of Safety: 0.83\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.68204850349537, + "fos_buckling": 0.8252742063448784, + "fos_yielding": 1.1389800739165823, + "deflection": 0.006079819424411441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3465": { + "node_id": "node_3465", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n Mass: 195.46 kg\n Factor of Safety: 0.94\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.46047133898253, + "fos_buckling": 0.9385153974844209, + "fos_yielding": 1.316627048831465, + "deflection": 0.005284199708237581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_3464", + "improvement_over_parent": null + }, + "node_3466": { + "node_id": "node_3466", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n\nPerformance:\n Mass: 200.73 kg\n Factor of Safety: 1.06\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.72708298623573, + "fos_buckling": 1.063234974127562, + "fos_yielding": 1.313669060709516, + "deflection": 0.005190698246221092, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002322)" + }, + "parent_node_id": "node_3465", + "improvement_over_parent": null + }, + "node_3467": { + "node_id": "node_3467", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 253.25 kg\n Factor of Safety: 1.30\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.2470989732488, + "fos_buckling": 1.3032927984225102, + "fos_yielding": 1.6697531096643907, + "deflection": 0.004124006903260444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_3466", + "improvement_over_parent": null + }, + "node_3468": { + "node_id": "node_3468", + "content": "MODIFICATION: Increase 0 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 255.51 kg\n Factor of Safety: 1.57\n Max Deflection: 4.01e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 255.50942995022478, + "fos_buckling": 1.5747469803726437, + "fos_yielding": 2.4815194988030016, + "deflection": 0.004011996125866886, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.597)" + }, + "parent_node_id": "node_3467", + "improvement_over_parent": null + }, + "node_3469": { + "node_id": "node_3469", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n Mass: 257.56 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.56210383584016, + "fos_buckling": 1.5408748980178677, + "fos_yielding": 2.649640947036703, + "deflection": 0.0039593907538541, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.357)" + }, + "parent_node_id": "node_3468", + "improvement_over_parent": null + }, + "node_3470": { + "node_id": "node_3470", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3469", + "improvement_over_parent": null + }, + "node_3471": { + "node_id": "node_3471", + "content": "INITIAL DESIGN (Trace 499)\n\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n Mass: 146.21 kg\n Factor of Safety: 0.59\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.2142416635892, + "fos_buckling": 0.586073918404292, + "fos_yielding": 1.031756437832557, + "deflection": 0.006848926685906621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3472": { + "node_id": "node_3472", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n Mass: 164.71 kg\n Factor of Safety: 0.65\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.70626802438312, + "fos_buckling": 0.652858525515155, + "fos_yielding": 1.1639742175874728, + "deflection": 0.006084344407206042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_3471", + "improvement_over_parent": null + }, + "node_3473": { + "node_id": "node_3473", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n Mass: 169.97 kg\n Factor of Safety: 1.06\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.9685165399089, + "fos_buckling": 1.0618401193039162, + "fos_yielding": 1.2099228411448235, + "deflection": 0.0063121185715214094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002112)" + }, + "parent_node_id": "node_3472", + "improvement_over_parent": null + }, + "node_3474": { + "node_id": "node_3474", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n Mass: 217.05 kg\n Factor of Safety: 1.31\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.05408113983876, + "fos_buckling": 1.3137090667198836, + "fos_yielding": 1.5506196029254675, + "deflection": 0.004950813019349699, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_3473", + "improvement_over_parent": null + }, + "node_3475": { + "node_id": "node_3475", + "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=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 253.26 kg\n Factor of Safety: 1.49\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.26206863571977, + "fos_buckling": 1.4949677530871806, + "fos_yielding": 1.8147423639938358, + "deflection": 0.004248074403542729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_3474", + "improvement_over_parent": null + }, + "node_3476": { + "node_id": "node_3476", + "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 256.63 kg\n Factor of Safety: 1.54\n Max Deflection: 3.98e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 256.63243459676335, + "fos_buckling": 1.5403222528834937, + "fos_yielding": 2.6486777623901614, + "deflection": 0.003978025009579664, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.531)" + }, + "parent_node_id": "node_3475", + "improvement_over_parent": null + }, + "node_3477": { + "node_id": "node_3477", + "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n Mass: 257.44 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.4382140569904, + "fos_buckling": 1.540399802200997, + "fos_yielding": 2.6482149652069, + "deflection": 0.003961386167956346, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.186)" + }, + "parent_node_id": "node_3476", + "improvement_over_parent": null + }, + "node_3478": { + "node_id": "node_3478", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n Mass: 257.53 kg\n Factor of Safety: 1.54\n Max Deflection: 3.96e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 257.53027419649214, + "fos_buckling": 1.5408267970116047, + "fos_yielding": 2.6493670563836957, + "deflection": 0.003959898897805647, + "is_feasible": true, + "joint_positions": 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